statistics

posted by .

8. Suppose that the IQ score for a person selected from a certain group of people
is approximately N(; 100). Let X1;X2; : : : ;Xn be a random sample of such IQ
scores.
(a) How large should n be so that a 90% con dence interval for  with maximum
error " = 1 is [ x 􀀀 1:645(10)=
p
n ; x + 1:645(10)=
p
n ]?
(b) Verify your answer empirically. In particular, simulate 50 random samples
of size n from the normal distribution N(110; 100). Do approximately 90%
of these samples yield a con dence interval that contains  = 110?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. statistics

    sat scores around the nation tend to have a mean score of about 500, a standard deviation of 100 points and are approximately normal distribution. a person who score 600 on the sat has approximately what percentile rank within the …
  2. statistics

    A large group of students has taken a college entrance exam. The scores on the exam are such that the mean = 52 and the standard deviation = 11 Find the probability that a student, selected at random, earned a score lower than 63.
  3. statistics

    Suppose you administered an anxiety test to a large sample of people and obtained normally distributed scores with a mean of 45 and standard deviation of 4 There are 200 students in a sample. How many of these students will have scores …
  4. Statistics

    Suppose you administered an anxiety test to a large sample of people and obtained normally distributed scores with a mean of 45 and standard deviation of 4. There are 200 students in a sample. How many of these students will have scores …
  5. statistics college

    SATI SCORES AROUND THE NATION HAVE A MEAN SCORE AROUND 500 A STANDARD DEVIATION OF ABOUT 100 POINTS AND ARE APPROXIMATELY NORMALLY DISTRIBUTED A PERSON WHO SCORES A PERFECT SCORE OF 800 ON THE SAT I HAS APPROXIMATELY WHAT PERCENTILE …
  6. statistics

    4. Suppose you administered an anxiety test to a large sample of people and obtained normally distributed scores with a mean of 45 and standard deviation of 4. Do not use web-calculator to answer the following questions. Instead, you …
  7. Math

    The IQ scores are normally distributed with a mean of 100 and a SD of 15. A) What is the probability that a randomly person has an IQ b/t 85-115?
  8. statistics

    A specific study found that the average number of doctor visits per year for people over 55 is 8 with a standard deviation of 2. Assume that the variable is normally distributed. 1. Identify the population mean. 2. Identify the population …
  9. Math (Statistics)

    The SAT scores of a certain population of students are approximately normally distributed with a mean and standard deviation of 1000 and 200 points, respectively. The probability that a student selected at random from the population …
  10. statistics

    1. Suppose you administered an anxiety test to a large sample of people and obtained normally distributed scores with a mean of 45 and a standard deviation of 4. Do not use the web calculator to answer the following questions. Instead, …

More Similar Questions