Saturday

September 5, 2015
Number of results: 13,076

**statistics- normal approximation**

find the normal approximation for the binomial probability that x=5, where n=12, and p=0.7. compare this probability to the value of p(x=5). * the only thing that i have come up with is that value of p(x=5) is o.29 when looking it up on the table. how would i successfully ...
*October 27, 2010 by mary- where do i begin*

**statistics**

If np is more or equal to 5 and nq is more or equal to 5, estimate P(fewer than 6) with n = 14 and p = 0.5 by using the normal distribution as an approximation to the binomial distribution; if np < 5 or nq < 5, then state that the normal approximation is not suitable. ...
*February 24, 2015 by Bradman0317*

**statistics/normal distribution**

If np is greater than or equal to 5, and nq is greater than or equal to 5, estimate P(fewer than 8) with n =14 and p = 0.6 by using the normal distribution as an approximation to the binomial distribution; if np < 5 or nq < 5, then state that the normal approximation is ...
*February 25, 2015 by slomomo*

**Statistics**

If np ≥ 5 and nq ≥ 5, estimate P (fewer than 4) with n = 13 and p = 0.5 by using the normal distribution as an approximation to the binomial distribution; if np < 5 or nq <5, then state that the normal approximation is not suitable. P (fewer than 4) =
*May 17, 2015 by Lynn*

**Statistics**

) In a rural area, the infected rate of certain disease is 0.20 (i.e., 20%). A sample of 20 people is taken from the area - selections are independent. Define X as the number of people in the sample who are infected by the disease. (1) This X is a binomial variable. What are ...
*May 9, 2014 by Trell *

**STATISTICS**

(a) With n=12 and p =0.4 find the binomial probability that p(9) by using a binomial probability table. (b) np ¡Ý5, nq¡Ü5, also estimate the indicated probability by using the normal distribution as an approximation to the binomial, is np < 5 or nq < 5 than state the ...
*June 2, 2013 by Jenn*

**Statistics**

(a) With n=12 and p =0.4 find the binomial probability that p(9) by using a binomial probability table. (b) np ¡Ý5, nq¡Ü5, also estimate the indicated probability by using the normal distribution as an approximation to the binomial, is np < 5 or nq < 5 than state the ...
*June 1, 2013 by Jenn*

**statistics**

With n=13 and p= 0.7, find the binomial probability p(9) by using a binomial probability table. If np> and nq> 5, also estimate the indicated probability by using the normal distribution as an approximation to the binomial, if np<5 or nq<5 then state that the ...
*November 25, 2013 by angela*

**statistics, math, college**

if np >5 and nq>5 estimate P (fewer than 4) with n=13 p=0.4 by using normal distribution as an approximate to the binomial distribution if np <5 or nq< then state that the normal approximation is not suitable
*February 11, 2014 by andrea*

**statistics/probability**

One statistic used to assess professional golfers is driving accuracy, the percent of drives that land in the fairway. Driving accuracy for PGA Tour professionals ranges from about 40% to about 75%. Tiger Woods hits the fairway about 60% of the time. One reason why the Normal ...
*June 17, 2010 by Natash*

**statistics**

If n = 100 and p = 0.02 in a binomial experiment, does this satisfy the rule for a normal approximation? Why or why not?
*August 25, 2011 by Laynette*

**statistics-normal approximation, distrubution**

find the normal appproximation for the binomial probabiolity the x=5,where n=12, and p= 0.7. compare this to the value of p(x=5). *please show calculations and work. want to compare my calculations. thank you. mary
*October 28, 2010 by mary- can someone please solve,lost*

**statistics**

Answer the following: (A) Find the binomial probability P(x = 5), where n = 12 and p = 0.70. (B) Set up, without solving, the binomial probability P(x is at most 5) using probability notation. (C) How would you find the normal approximation to the binomial probability P(x = 5...
*December 6, 2012 by Huffette*

**college statistics**

find the normal approximation for the binomial probability that x=5 where n=14 and p=0.3 compare this to the value of p(x=5) found in table 2
*June 5, 2012 by melba*

**statistics please help deadline 12am**

find the normal approximation for the binomial probability that x=5,where n=12, and p=0.7compare probability to table b of normal distributions of table 2. The only thing that i know so far is that p(x=5) is equivalent to 0.29. how would i complete this question? please ...
*October 28, 2010 by vedry frustrated please help and show work*

**ap statistics**

An unnoticed mechanical failure has caused one-fourth of a machine shop’s production of 10000 pistol firing pins to be defective. A random sample of 25 firing pins was drawn from the population. a.) Explain why this random variable has a binomial distribution? (2 points) b.) ...
*April 24, 2014 by nicole*

**ap statistics**

An unnoticed mechanical failure has caused one-fourth of a machine shop’s production of 10000 pistol firing pins to be defective. A random sample of 25 firing pins was drawn from the population. a.) Explain why this random variable has a binomial distribution? (2 points) b.) ...
*April 24, 2014 by nicole*

**ap statistics**

An unnoticed mechanical failure has caused one-fourth of a machine shop’s production of 10000 pistol firing pins to be defective. A random sample of 25 firing pins was drawn from the population. a.) Explain why this random variable has a binomial distribution? (2 points) b.) ...
*April 24, 2014 by nicole*

**stastistics**

With n=13 and p=0.7, find the binomial probability P(9)by using a binomial probability table. If np> and nq>5, also estimate the indicated probability by using the normal distribution as an approximation to the binomial,if np<5 of nq<5 then state that the normal ...
*November 22, 2013 by angela*

**Statistics**

Find the normal approximation for the binomial probability that x = 5, where n = 12 and p = 0.7. Compare this probability to the value of P(x=5) found in Table 2 of Appendix B in your textbook.
*October 20, 2011 by jane*

**college ststistics**

A. find the binomial probability p(x=5) where n=14 and p=0.30. B. setup without solving the binomial probability p(x is at most 5) using probability notation C. how would you find normal approximation to the binomial probability p(x=5) in part A. please show how you would ...
*June 3, 2012 by melba*

**Statistics**

What is the difference between normal distribution and approximate normally. Correct me if im wrong but I think the parameters of Normal is X~Normal (mu, standard deviation) but then approx. normal is X~Normal (mu, variation) im just really confused when you use each and such.
*December 18, 2014 by Sarah*

**Business Statistics**

In each case, sketch the two speciﬁed normal curves on the same set of axes: a A normal curve with m 20 and s 3, and a normal curve with m 20 and s 6. b A normal curve with m 20 and s 3, and a normal curve with m 30 and s 3. c A normal curve with m 100 and s 10, and a ...
*August 30, 2012 by Marcia*

**statistics**

When using the normal approximation to the binomial, what is the mean used in the standardization formula when approximating a binomial distribution with 123 trials and p=0.35? Please submit your answer with 2 decimal places
*July 10, 2014 by chandler*

**statistics**

When using the normal approximation to the binomial, what is the standard deviation used in the standardization formula when approximating a binomial distribution with 226 trials and p=0.25? Please submit your answer with 4 decimal places
*July 10, 2014 by chandler*

**Math**

Records show that 29% of all payments to a mail-order company are submitted after the due date. Suppose 50 payments are submitted this week. Let r be a random variable that represents the number of payments that are late. Use the normal approximation to the binomial to ...
*August 7, 2011 by Justina*

**Statistics normal distribution**

54% of the children in a large city are boys. Using a suitable approximation, calculate the probability that a random sample of 1000 children contains more boys than girls ?
*June 1, 2013 by Kelvin*

**statistics**

5. Suppose a manufacturer of computer chips is experiencing an average of 2% defective chips. (a) If a lot contains 1000 chips, what is the probability that more than 25 chips are defective? HINT. Use the normal approximation to the binomial.
*March 23, 2014 by Marisol*

**MATH**

Answer the following: (A) Find the binomial probability P(x = 4), where n = 12 and p = 0.30. (B) Set up, without solving, the binomial probability P(x is at most 4) using probability notation. (C) How would you find the normal approximation to the binomial probability P(x = 4...
*November 11, 2011 by Jennifer*

**CALCULUS**

If the local linear approximation of f(x) = 3sin x + e3x at x = 2 is used to find the approximation for f(1.9), then the % error of this approximation is
*March 17, 2015 by KRISTAL*

**Math**

Use Newton's method to approximate a root of the equation 5sin(x)=x as follows. Let x1=2 be the initial approximation. The second approximation x2 is: and the third approximation x3 is:
*July 19, 2008 by Blair*

**calculus**

Use Newton's method to approximate a root of the equation 3sin(x)=x as follows. Let x1=1 be the initial approximation. The second approximation x2 is and the third approximation x3 is
*September 7, 2010 by kwack*

**statistics**

You intend to estimate a population proportion with a confidence interval. The data suggests that the normal distribution is a reasonable approximation for the binomial distribution in this case. Find the critical value that corresponds to a confidence level of 98%. (Report ...
*July 22, 2012 by robyn*

**Calculus**

Use Newton's method to approximate a root of the equation (2 x^3 + 4 x + 4 =0) as follows. Let (x_1 = -1\) be the initial approximation. The second approximation (x_2) is ? and the third approximation (x_3) is ?
*November 11, 2009 by Salman*

**calculus**

Use Newton's method to approximate a root of the equation 3sin(x)=x as follows. Let x1=1 be the initial approximation. The second approximation x2 is and the third approximation x3 is I got x2=-1.454 but can't get x3 :(
*September 8, 2010 by HELLLLLPPPPPPP*

**calculus**

Use Newton's method to approximate a root of the equation 3sin(x)=x as follows. Let x1=1 be the initial approximation. The second approximation x2 is and the third approximation x3 is for x2 I got -1.454 which is right but I can't get x3
*September 8, 2010 by HELLLLLPPPPP*

**Statistics**

A popular resort hotel has 300 rooms and is usually fully booked. About 4% of the time a reservation is cancelled before 6:00 PM deadline with no penalty. What is the probability that at least 280 rooms will be occupied? Use binomial distribution to find the exact value and ...
*November 30, 2014 by Richa*

**statistics**

If 30% of people in an area are registered voters and 15 people are selected at random from the area: A. what is the probability that at most 3 out of the 15 people are registered voters? B. could we have used the normal approximation to the binomial in part b? Explain why or ...
*April 27, 2014 by Mark*

**Statistics**

Assume it is known that the probability of birth is equal in all months. What is the probability that in the STAT class of 120 students, exactly 20 students have their birthdays in either August or September? Solve using (i) the exact Binomial distribution, (ii) the Normal ...
*February 28, 2014 by Lee*

**statistics**

Which of the following statements are correct? a. A normal distribution is any distribution that is not unusual. b. The graph of a normal distribution is bell-shaped. c. If a population has normal ditribution, the mean and the median are not equal. d. The graph of a normal ...
*May 8, 2010 by Michelle*

**statistics**

which of the following statements are correct? a. a normal distribuiton is any distribution that is not unusual. b. the graph of a normal distribution is bell-shaped. c. if a population has a normal distribution, the mean and the median are not equal. d. the graph of a normal ...
*August 16, 2010 by jeff*

**Statistics**

Many women take oral contraceptives to prevent pregnancy. Under ideal conditions, 1% will become pregnant within one year. In typcal use, 5% become pregnant. Choose 20 random women taking the pill. How many become pregnant in the next year? a. What is the probability that at ...
*August 4, 2010 by Dawn*

**CALC**

Use Newton's method to approximate a root of the equation x3+x+3=0 as follows. Let x1=–1 be the initial approximation. The second approximation x2 is _____? and the third approximation x3 is _____?
*May 29, 2010 by Adam*

**calculus**

se differential, i.e., linear approximation, to approximate (8.4)^(1/3) as follows: Let f(x)=(x )^(1/3). The linear approximation to f(x) at x=8 can be written in the form y=mx+b where m is: and where b is: Using this, we find our approximation for (8.4)^(1/3) is
*August 28, 2010 by jin*

**linear approximation**

a) Find the linear approximation of the function f(x)=4cos(3x^2) near x = 0 b) Use the approximation found in part (a) to estimate the value of f(pi/20)
*December 7, 2014 by Peter*

**Statistics**

1. Which of the following statements are correct? a. A normal distribution is any distribution that is not unusual. b. The graph of a normal distribution is bell-shaped. c. If a population has a normal distribution, the mean and the median are not equal. d. The graph of a ...
*April 19, 2010 by Jackie*

**statistics**

Which of the following statements are correct? a. a normal distribution is any distribution that is not unusual b. the graph of a normal distribution is bell-shaped c. if a population has a normal distribution, the mean and the median are not equal d. the graph of a normal ...
*May 10, 2010 by Christine*

**Statistics**

Which of the following statements are correct? 1.A normal distribution is any distribution that is not unusual. 2.The graph of a normal distribution is bell-shaped. 3.If a population has a normal distribution, the mean and the median are not equal. 4.The graph of a normal ...
*July 14, 2010 by Christy*

**AP Statistics **

12) Which of the following statements is true? a) The sampling distribution of the difference between two proportions will always be normal. b) When comparing two population proportions, either sample proportion can be used as the unbiased estimate of the true population ...
*March 14, 2013 by Joker*

**Math/Stats**

In the last senatorial election in New Jersey, the republican candidate got 48% of the vote. During the election an exit poll was conducted by radio station WSTAT. Ten voters selected at random where asked if they voted for the republican candidate. (a) Let X = "Number of ...
*November 9, 2008 by Xavier*

**Algebra/can you help me**

Write each expression in terms of common logarithms, and then give a calculator approximation (correct to four decimal places). log7^10= 1.183 How do you find the approximation log3^316 = 5.239 How do you find the approximation Thank you
*June 2, 2014 by Mary Ann *

**statistics**

According to the MIT Airline Data Project, American Airlines controlled 15.5% of the domestic market in 2010. A random sample of 125 domestic passengers that year was selected. Using the normal approximation to the binomial distribution, what is the probability that more than ...
*July 20, 2014 by james*

**STATISTICS**

In a psychology experiment in which 100 volunteers were asked to read a paragraph about an engineer, 65 assumed that the engineer was male despite the fact that the paragraph did not specify gender (and avoided gendered pronouns such as “he” or “she”). If the null hypothesis ...
*August 10, 2013 by smoothjive*

**statistics**

Your mail-order company advertises that it ships 95% of its orders within three working days. You select an SRS of 100 of the 5000 orders received in the past week for an audit. The audit reveals that only 91 of these orders were shipped on time. A) What is the sample ...
*April 24, 2013 by Dylan*

**statistics**

For any distribution (normal or not normal), the probability of selecting a score greater than the median is
*September 4, 2011 by Helen*

**Statistics**

In a certain city of several million people, of the adults are unemployed. If a random sample of adults in this city is selected, approximate the probability that at least in the sample are unemployed. Use the normal approximation to the binomial with a correction for ...
*March 1, 2014 by Wendy*

**Statistics HELP!**

Use a normal approximation to find the probability of the indicated number of voters. In this case assume that 119 eligible voters aged 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged 18-24, 22% of them voted. The probability that ...
*May 18, 2015 by Lynn*

**statistics**

Of all 3- to 5-year old children, 56% are enrolled in school (p=0.56). We are looking at a sample of 500 (n=500) such children, and this is thought to follow a binomial distribution. Use the normal approximation to the binomial to find the probability that at least 300 of ...
*March 7, 2012 by Anonymous*

**statistics**

A sample survey interviews an SRS of 263 college women. Suppose (as is roughly true) that 75% of all college women have been on a diet within the past 12 months. Using the Normal approximation, what is the probability (±0.001) that 82% or more of the women in the sample have ...
*May 2, 2013 by dais*

**Statistics(math)**

(20.47 S-AQ) A sample survey interviews an SRS of 252 college women. Suppose (as is roughly true) that 71% of all college women have been on a diet within the past 12 months. Using Normal approximation, what is the probability (±0.001) that 77% or more of the women in the ...
*June 7, 2013 by Kelsey*

**Math- Statistics **

An epidemiologist is planning a study on the prevalence of oral contracep- tive use in a certain population. She plans to choose a random sample of n women and to sue the sample proportion of oral contraceptive users (pˆ) as an estimate of the population proportion (p). ...
*May 4, 2014 by Needs Help*

**PH Calculation**

Consider a 0.42 M solution of NaCH3COO CH3COO–(aq) + H2O(l) -> CH3COOH(aq) + OH–(aq) Calculate the pH of the solution at equilibrium. Try the weak acid or weak base approximation (as appropriate) and check the validity of the approximation. If the approximation is not valid...
*April 26, 2012 by RZeal*

**Statistics and Probability**

Why is a normal distribution called "normal"?
*March 19, 2013 by Betty*

**Statistics and Probability**

Why is a normal distribution called "normal"?
*March 19, 2013 by Betty*

**statistics**

If 30% of people in an area registered voters and 15 people are selected at ramdom from this area; a. What is the probability thatexactly 3out of the15 people are registered voters? b. What is the probability that at most 3 out of the 15 people are registered voters> c. ...
*December 5, 2012 by Erika Chicas*

**Statistics **

A manufacturing facility produces iron rods whose mean diameter is 2.5 inches with a standard deviation of 0.2 inch. If a sample of 50 metal rods produced by the facility were randomly selected, what is the probability that the mean of these rods will lie between 2.4 inches ...
*December 16, 2013 by Steven *

**Calculus - Derivatives**

The approximation to a definite integral using n=10 is 2.346; the exact value is 4.0. If the approximation was found using each of the following rules, use the same rule to estimate the integral with n=30. A) Left Rule B) Trapezoid Rule The section deals with approximation ...
*September 29, 2008 by UMich1344*

**statistics**

without the use of the standard normal tables, should techniques of calculus be used to find the probabilities concerning a normal distribution?
*August 20, 2010 by marie*

**STATISTICS**

In a psychology experiment in which 100 volunteers were asked to read a paragraph about an engineer, 65 assumed that the engineer was male despite the fact that the paragraph did not specify gender (and avoided gendered pronouns such as “he” or “she”). ...
*August 6, 2013 by Susie*

**ap statistics**

In a survey, 600 mothers and fathers were asked about the importance of sports for boys and girls. Of the parents interviewed, 70% said the genders are equal and should have equal opportunities to participate in sports. B. Using the normal approximation without the continuity ...
*April 24, 2014 by nicole*

**statistics**

If Z is a standard normal variable, find the probability that Z lies between -1.10 and -0.36 Use the table of the area under the normal distribution in the back of your statistics textbook to find the area between these Z values and the mean. Since they are both on the ...
*August 5, 2007 by john*

**MATH**

Given a binomial distribution with n = 21 and p = 0.76, would the normal distribution provide a reasonable approximation? Why or why not?
*November 2, 2011 by Jen*

**statistics**

Will the sampling distribution of means be approximately normal if n=25 or so, even if the frequency distribution of X values is not normal?
*September 25, 2011 by Carol*

**statistics**

A normal distribution has a standard deviation equal to 23. What is the mean of this normal distribution if the probability of scoring above x = 181? record to 1 decimal place
*June 21, 2013 by Paisley*

**statistics for health research**

Descriptive statistics are widely used in qualitative research. When establishing if a population is normally distributed explain when the statistics of sample size, mean, mode, median, skewness and kurtosis will guide the researcher to make conclusions of a normal distribution.
*June 16, 2014 by maureen*

**approximation fractions**

which math fraction is greater through approximation: 10/21 or 15/28?
*January 7, 2011 by Lecia*

**STAT- important**

What is the difference between normal distribution and approximate normally. Correct me if im wrong but I think the parameters of Normal is X~Normal (mu, standard deviation) but then approx. normal is X~Normal (mu, variation) im just really confused when you use each and such.
*December 18, 2014 by Sarah*

**calculus**

Use the linearization approximation (1+x)^k=1+kx to find an approximation for the function f(x)=(1/square root of 4+x) for values of x near zero.
*March 2, 2008 by Anonymous*

**calculus**

Use the linearization approximation (1+x)^k=1+kx to find an approximation for the function f(x)=(1/square root of 4+x) for values of x near zero.
*March 4, 2008 by Anonymous*

**calculus**

Use the linear approximation (1+x)^k=1+kx to find an approximation for the function f(x)=1/square root of (4+x) for values of x near zero.
*March 6, 2008 by Anonymous*

**statistics**

consider the following sample statistics from a population that is aproximatly normal. n=15, s= 7.92,level of confidence is 99 % Calculate the margin of error( round to the nearest hunderth)
*March 11, 2009 by Angela*

**statistics**

consider the following sample statistics from a population that is aproximatly normal. n=15, s= 7.92,level of confidence is 99 % Calculate the margin of error( round to the nearest hunderth)
*March 11, 2009 by Angela*

**statistics**

1. Which of the following statements are correct? a. A normal distribution is any distribution that is not unusual. (True/False) b. The graph of a normal distribution is bell-shaped. (True/False) c. If a population has a normal distribution, the mean and the median are not ...
*August 20, 2011 by ann*

**calculus**

Let f be a differentiable function such that f(3) = 2 and f'(3) = 5. If the tangent line to the graph of f at x = 3 is used to find an approximation to a zero of f, that approximation is? So confused
*April 21, 2011 by Matt*

**calculus, math**

Use Newton's method to approximate the value of (543)^(1/5) as follows: Let x1=2 be the initial approximation. find x2 and x3 =? approximation
*November 22, 2011 by kayla*

**Calculus**

Use the linear approximation (1+x)^k\approx 1+kx to find an approximation for the function f(x) for values of x near zero. I need help for (3+3x)^(1/3). Please help me!
*October 3, 2013 by Alex*

**Math**

Use the linear approximation (1+x)^k=1+kx to find an approximation for the function (3+3x)^(1/3) for values of x near zero. Help would be greatly appreciated!
*October 3, 2013 by Cory*

**Approximation**

Find The Value Of (Sin 31) Using Approximation ?
*August 22, 2011 by jack*

**Data Management**

Stuck with 2 questions. Need of assistance before tomorrow. Question 1. A summer camp has seven 4.6m canoes, ten 5.0m canoes, four 5.2m canoes, and four 6.1m canoes. Canoes are assigned randomly for campers going on a canoe trip. a) Show the probability distribution for the ...
*December 21, 2006 by Aurora*

**Stats**

With normal approximation method and technology, is it necessary to use the one sample z test for proportion for large sample sizes instead of the binomial formula?
*April 1, 2011 by Joan*

**Statistics**

Find an example of application of Normal Distribution (or approximately Normal Distribution) in your workplace or business (or any other business that you are familiar with). Prove that the variable has the characteristics of a Normal Distribution. Recall that the variable ...
*October 8, 2010 by Kathy*

**statistics**

The mean life of a set of batteries in a T83 calculator is 525 with a standard deviation of 35 hours assume normal distribution is normal whats is the probability that set will last for more the 540 hrs
*March 17, 2012 by mike*

**college pre statistics**

consider the following sample statistics from a population that is aproximatly normal. n=15, s= 7.92,level of confidence is 99 % Calculate the margin of error( round to the nearest hunderth)
*March 11, 2009 by Angela*

**Maths**

Let f(x) = tan(x). What is the formula for the conditioning number of f? Evaluate this formula for x =(π/4), 1.01, 1.26, 1.51 (in radians, working to 3 signifi cant figures, the precision that is implicit in this data). Replace each of the expressions for x by its ...
*November 4, 2012 by John*

**statistics**

A random sample of 10 observations is selected from the first normal population and 8 from the second normal population. For the hypothesis, H0: ¦Ì1 ¡Ü ¦Ì2, (.01 significance level), what is (are) the critical value(s)? (Population standard deviations are unknown).
*July 30, 2011 by Anonymous*

**Math**

Use differential, (i.e. linear approximation), to approximate cube root of 64.1 as follows: Let f(x) = cube root of x. The linear approximation to f(x) at x = 64 can be written in the form y = mx+b. Compute m and b and find cube root of 64.2 via linear approximation
*December 19, 2014 by Anonymous*

**statistics**

5. A professor teaching introductory psychology gave the grades that follow. According to the normal curve, she should have given about 4% A’s, 14% B’s, 64% C’s, 14% D’s, and 4% F’s. Do a Chi-Square to determine if the actual grade assignment significantly departed from the ...
*December 12, 2012 by stan*

**Statistics**

The heights of the students in a statistics class are approximately normal with mean 68 inches and a standard deviation of 2.75 inches. Suppose that the heights of the 15 male students in the statistics class are also approximately normal with mean 71 inches. Would the ...
*January 15, 2011 by Alex*

**Math- Calculus**

Use Newtonâ€™s Method with initial approximation x1 = 2 to solve the equation x5 +x= 6 . Go to x3, and tell me how good you think the approximation is. Round all answers to 3 decimal places.
*November 10, 2008 by Soojung*

**statistics-please please help**

A) Choose one of the following distributions (positively skewed normal distribution, negatively skewed normal distribution or bimodal normal distribution) and generate a sample of 20 numbers for it. The sample you generate should have a mean of 8 and a sample standard ...
*October 7, 2008 by Lauren*