5) UiA sample of 148 college students at a large university reports getting an average of 6.85 hours of sleep last night with a standard deviation of 2.12 hours. Test, at the 5% level, if this sample provides evidence that mean hours of sleep for college students is less than 8 hours per night. a) State the hypotheses. b) State the notation and value of the sample statistics and sample size. c) State the test-statistic (from the t-distribution)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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5) A sample of 148 college students at a large university reports getting an average of
6.85 hours of sleep last night with a standard deviation of 2.12 hours.
Test, at the 5% level, if this sample provides evidence that mean hours of sleep for college
students is less than 8 hours per night.
a) State the hypotheses.
b) State the notation and value of the sample statistics and sample size.
c) State the test-statistic (from the t-distribution)
d) Find the p-value and compare to the significance level (5%)
e) State the formal conclusion and the evidence statement (conclusion in context)
Transcribed Image Text:5) A sample of 148 college students at a large university reports getting an average of 6.85 hours of sleep last night with a standard deviation of 2.12 hours. Test, at the 5% level, if this sample provides evidence that mean hours of sleep for college students is less than 8 hours per night. a) State the hypotheses. b) State the notation and value of the sample statistics and sample size. c) State the test-statistic (from the t-distribution) d) Find the p-value and compare to the significance level (5%) e) State the formal conclusion and the evidence statement (conclusion in context)
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