Wednesday
August 27, 2014

Homework Help: statistics

Posted by Anonymous on Sunday, August 7, 2011 at 11:02pm.

You have hired a polling organization to take a simple random sample from a box of 200,000 tickets and estimate the percentage of 1s in the box. Unknown to them, the box contains 50% 0s and 50% 1s. How far off should you expect them to be if they draw 50,000 tickets?
Answer
a.
1.50%
b.
0.17%
c.
0.20%
d.
0.23%
e.
0.19%

5.92 points
Question 2


In a certain city, there are 100,000 persons age 18 to 24. A simple random sample of 400 such persons is drawn, of whom 220 turn out to be currently enrolled in college. Estimate the percentage of all persons age 18 to 24 in that city who are currently enrolled in college.
Answer
a.
50%
b.
41.1%
c.
45%
d.
55%
e.
39.6%

5.88 points
Question 3


In a certain city, there are 100,000 persons age 18 to 24. A simple random sample of 400 such persons is drawn, of whom 220 turn out to be currently enrolled in college. Find the SE% for the percentage of all persons age 18 to 24 in that city who are currently enrolled in college.
Answer
a.
2.49%
b.
6.88%
c.

none of these
d.
2.19%
e.
2.20%

5.88 points
Question 4


In a certain city, there are 100,000 persons age 18 to 24. A simple random sample of 400 such persons is drawn, of whom 220 turn out to be currently enrolled in college. If possible, find the lower end point for the 90% confidence interval for the percentage of all persons age 18 to 24 in that city who are currently enrolled in college.
Answer
a.
50.89%
b.
not possible
c.
49.82%
d.
none of these
e.
35.22%

5.88 points
Question 5


For a cluster sample, the estimates of the halves came in at 62.70 and 58.85. Find the Standard Error.
Answer
a.
1.15
b.
1.925
c.
0.30
d.
0.20
e.
110.9

5.88 points
Question 6


In a month, the Current Population Survey sample amounted to 100,000 people. Of them, 62,000 were employed, and 3,000 were unemployed. True or False: The Bureau would estimate that 65% of the population was in the labor force.
Answer
a.
False
b.
True

5.88 points
Question 7


In a month, the Current Population Survey sample amounted to 100,000 people. Of them, 62,000 were employed, and 3,000 were unemployed. True or False: The Bureau would estimate the percentage of the population who are unemployed as 4.62%.
Answer
a.
True
b.
False

5.88 points
Question 8


In a month, the Current Population Survey sample amounted to 100,000 people. Of them, 62,000 were employed, and 3,000 were unemployed. True or False: The Bureau would estimate the total number unemployed in the population by using weights obtained by dividing the sample into groups by age, sex, race, area of residence, and so on.
Answer
a.
True
b.
False

5.88 points
Question 9


The probability histogram for the average of the draws will follow the normal curve, even if the contents of the box do not, as long as the histogram is put into standard units, and the number of draws is large.
Answer
a.
False
b.
True

5.88 points
Question 10



The average of a box of tickets is 140. The SD is 10. If we make 400 draws at random, what is the standard error for the average?
Answer
a.
none of these
b.
5
c.
20
d.
200
e.
0.5

5.88 points
Question 11


The tickets in a box have an SD equal to 10. Their average is 120. Two hundred tickets are drawn at random. Find the chance that the average of these two hundred draws is between 118 and 120?
Answer
a.
none of these
b.
95%
c.
100%
d.
75%
e.
68%

5.88 points
Question 12


One kind of plant has only white flowers and pink flowers. According to a genetic model, the offsprings of a certain cross have a 60% chance to be pink-flowering, and a 40% chance to be white-flowering, independently of one another. Two hundred seeds of such a cross are raised, and 130 turn out to be pink-flowering. We wish to determine if the data are consistent with the model.(use one-tailed test) What is the expected value for the percentage of pink-flowering plants?
Answer
a.
60%
b.
50%
c.
75%
d.
34%
e.
40%

5.88 points
Question 13


One kind of plant has only white flowers and pink flowers. According to a genetic model, the offsprings of a certain cross have a 60% chance to be pink-flowering, and a 40% chance to be white-flowering, independently of one another. Two hundred seeds of such a cross are raised, and 130 turn out to be pink-flowering. We wish to determine if the data are consistent with the model.(use one-tailed test) What is the observed value for the percentage of pink-flowering plants?
Answer
a.
65%
b.
75%
c.
60%
d.
50%
e.
40%

5.88 points
Question 14


One kind of plant has only white flowers and pink flowers. According to a genetic model, the offsprings of a certain cross have a 60% chance to be pink-flowering, and a 40% chance to be white-flowering, independently of one another. Two hundred seeds of such a cross are raised, and 130 turn out to be pink-flowering. We wish to determine if the data are consistent with the model.(use one-tailed test) Find the value of the SE%.
Answer
a.
2.99%
b.
1.64%
c.
2.11%
d.
3.46%
e.
1.93%

5.88 points
Question 15


One kind of plant has only white flowers and pink flowers. According to a genetic model, the offsprings of a certain cross have a 60% chance to be pink-flowering, and a 40% chance to be white-flowering, independently of one another. Two hundred seeds of such a cross are raised, and 130 turn out to be pink-flowering. We wish to determine if the data are consistent with the model.(use one-tailed test) Find the value of the test statistic.
Answer
a.
1.31
b.
1.45
c.
2.31
d.
2.01
e.
0.33

5.88 points
Question 16


One kind of plant has only white flowers and pink flowers. According to a genetic model, the offsprings of a certain cross have a 60% chance to be pink-flowering, and a 40% chance to be white-flowering, independently of one another. Two hundred seeds of such a cross are raised, and 130 turn out to be pink-flowering. We wish to determine if the data are consistent with the model.(use one-tailed test) Find the p-value.
Answer
a.
4.95%
b.
none of these
c.
3.59%
d.
3.28%
e.
2.10%

5.88 points
Question 17


One kind of plant has only white flowers and pink flowers. According to a genetic model, the offsprings of a certain cross have a 60% chance to be pink-flowering, and a 40% chance to be white-flowering, independently of one another. Two hundred seeds of such a cross are raised, and 130 turn out to be pink-flowering. We wish to determine if the data are consistent with the model.(use one-tailed test) Are the data consistent with the model?
Answer
a.
No
b.
Yes

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