d. The true population mean for this population is 90.02. Which of the confidence intervals constructed in parts a through c cover this population mean and which do not? The confidence intervals of part a + cover u but the confidence interval of parts b and c + do(es) not.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
Question
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I'm stuck on questoin D. Could you please explain the correct answer. thank you 

 

a. A sample of 355 observations taken from a population produced a sample mean equal to 92.15 and a standard deviation equal to
12.15. Make a 95% confidence interval for u.
Round your answers to two decimal places.
90.89
93.41
b. Another sample of 355 observations taken from the same population produced a sample mean equal to 91.40 and a standard
deviation equal to 14.05. Make a 95% confidence interval for u.
Round your answers to two decimal places.
89.94
92.86
C. A third sample of 355 observations taken from the same population produced a sample mean equal to 89.42 and a standard
deviation equal to 13.15. Make a 95% confidence interval for u.
Round your answers to two decimal places.
88.05
90.79
d. The true population mean for this population is 90.02. Which of the confidence intervals constructed in parts a through c cover this
population mean and which do not?
The confidence intervals of
part a
+ cover u but the confidence interval of
parts band c
+ do(es) not.
Transcribed Image Text:a. A sample of 355 observations taken from a population produced a sample mean equal to 92.15 and a standard deviation equal to 12.15. Make a 95% confidence interval for u. Round your answers to two decimal places. 90.89 93.41 b. Another sample of 355 observations taken from the same population produced a sample mean equal to 91.40 and a standard deviation equal to 14.05. Make a 95% confidence interval for u. Round your answers to two decimal places. 89.94 92.86 C. A third sample of 355 observations taken from the same population produced a sample mean equal to 89.42 and a standard deviation equal to 13.15. Make a 95% confidence interval for u. Round your answers to two decimal places. 88.05 90.79 d. The true population mean for this population is 90.02. Which of the confidence intervals constructed in parts a through c cover this population mean and which do not? The confidence intervals of part a + cover u but the confidence interval of parts band c + do(es) not.
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