6.25 Determining sample size. Refer to the previous exercise. You really want to use a sample size such that about 95% of the averages fall within ±5 minutes of the 6.78. true mean = (a) Based on your answer to part (b) in Exercise 6.24, should the sample size be larger or smaller than 175? Explain. (b) What standard deviation of x do you need such that 95% of all samples will have a mean within 5 minutes of µ? (c) Using the standard deviation you calculated in part (b), determine the number of students you need to sample.
6.25 Determining sample size. Refer to the previous exercise. You really want to use a sample size such that about 95% of the averages fall within ±5 minutes of the 6.78. true mean = (a) Based on your answer to part (b) in Exercise 6.24, should the sample size be larger or smaller than 175? Explain. (b) What standard deviation of x do you need such that 95% of all samples will have a mean within 5 minutes of µ? (c) Using the standard deviation you calculated in part (b), determine the number of students you need to sample.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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my answer for part b) of 6.24 was: (4.3, 9.26) so the variability in Hours is equal to 4.3 hours to 9.26 hours and in minutes its 258 to 555.6 minutes. I also posted 6.24 the previous exercise so that you have all the information but I need help with 6.25.
Transcribed Image Text:6.24 Total sleep time of college students. In
Example 5.4 (page 293), the total sleep time per night
among college students was approximately Normally
distributed with mean u = 6.78 hours and standard
deviation o = 1.24 hours. You initially plan to take an SRS
of size n = 175 and compute the average total sleep time.
(a) What is the standard deviation for the average time in
hours? in minutes?
(b) Use the 95 part of the 68-95-99.7 rule to describe the
variability of this sample mean.
Transcribed Image Text:6.25 Determining sample size. Refer to the previous
exercise. You really want to use a sample size such that
about 95% of the averages fall within ±5 minutes of the
true mean µ = 6.78.
u
(a) Based on your answer to part (b) in Exercise 6.24,
should the sample size be larger or smaller than 175?
Explain.
(b) What standard deviation of x do you need such
that 95% of all samples will have a mean within
5 minutes of u?
(c) Using the standard deviation you calculated in part (b),
determine the number of students you need to sample.
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