d. Construct a 95% confidence interval for the population mean μ. Interpret the interval in the context of the problem. (4 points) e. How does decreasing the level of confidence in part (d) change the width of the confidence interval? Explain? (3 points

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
The SAT scores of 12 randomly selected high school seniors are given as:
1700 1940 1510 2000 1430 1870
1990 1650 1820 1670 2210 1380
Assume the population distribution is normal and the population standard deviation(σ) is
UNKNOWN.
a. Find the sample mean [use technology] (2 points)
b. Find the sample standard deviation [use technology] (2 points)
c. Construct a 99% confidence interval for the population mean μ. (3 points)
d. Construct a 95% confidence interval for the population mean μ. Interpret the interval in
the context of the problem.
(4 points)
e. How does decreasing the level of confidence in part (d) change the width of
the confidence interval? Explain? (3 points)
 
 
 
 
 
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