An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95 % confidence that the sample mean is within 5 IQ points of the true mean. Assume that σ=10 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. The required sample size is ​(Round up to the nearest​ integer.)

Question
An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95 % confidence that the sample mean is within 5 IQ points of the true mean. Assume that σ=10 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
The required sample size is ​(Round up to the nearest​ integer.)
 

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.

Related Statistics Q&A

Find answers to questions asked by student like you

Q: Can you help me with question D, please? I am not sure if I am correct.   (this is not graded; it is...

A: Click to see the answer

Q: Molly works for a meat producer, and she needs to determine whether containers of ground beef have t...

A: Definition of p-value It is the probability of obtaining the results as extreme as the observed res...

Q: Use the sample data and confidence level given below to complete parts​ (a) through​ (d). A research...

A: Click to see the answer

Q: What are the observed and expected frequencies for the last digit of 7?

A: Click to see the answer

Q: You measure 38 watermelons' weights, and find they have a mean weight of 52 ounces. Assume the popul...

A: Click to see the answer

Q: A random sample of n=4 scores is selected from a population with mu=80 and standard deviation=20. On...

A: Click to see the answer

Q: of the physics graduates of a university, 30% received a starting salary of 30000 or more. if 5 of t...

A: According to the provided information, Of the physics graduates of a university, 30% received a star...

Q: A group of 11 students was selected at random and asked for their high school GPA and their freshmen...

A: Note As per our policy we cannot answer more three sub-parts of the question. I have answered 7 sub-...

Q: The mean number of words per minute (WPM) read by sixth graders is 95 with a variance of 196. If ...

A: According to the provided information,