average of typical sleep time on a school night is 6.8 hours with a standard deviation of 1.2 hours. (Source: Data are downloaded from U.S. Census at School a) We want to test if the mean sleep time on a school night for all high school seniors in the United States is less than 7 hours. State the hypotheses of a one-sided significance test.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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For a random sample of 47
high school seniors in the
United States in 2019, the
average of typical sleep time
on a school night is 6.8 hours
with a standard deviation of
1.2 hours. (Source: Data are
downloaded from U.S. Census
at School
a)
We want to test if
the mean sleep time on a
school night for all high school
seniors in the United States is
less than 7 hours. State the
hypotheses of a one-sided
significance test.
b)
) Calculate the test
statistic.
I Show how to make a
c)
conclusion for this test, using
the significance level 0.05.
d)
) If your conclusion in
part c) were in error, what type
of error would it be?
e)
) Construct a 95%
confidence interval for the
population mean sleep time on
a school night for all high
school seniors in the United
States.
Transcribed Image Text:For a random sample of 47 high school seniors in the United States in 2019, the average of typical sleep time on a school night is 6.8 hours with a standard deviation of 1.2 hours. (Source: Data are downloaded from U.S. Census at School a) We want to test if the mean sleep time on a school night for all high school seniors in the United States is less than 7 hours. State the hypotheses of a one-sided significance test. b) ) Calculate the test statistic. I Show how to make a c) conclusion for this test, using the significance level 0.05. d) ) If your conclusion in part c) were in error, what type of error would it be? e) ) Construct a 95% confidence interval for the population mean sleep time on a school night for all high school seniors in the United States.
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