A researcher is interested in estimating the average amount of sleep obtained by first-year students at MacEwan University. The researcher obtains a random sample of 100 first-year students from MacEwan from which she obtains an average of 7.1 hours of sleep. a. Suppose the researcher obtains a 95% confidence interval of (6.9, 3). What is the margin of error? b. It is recommended that young adults sleep at least 7.5 hours per night. Does the interval from (a) provide evidence that, on average, first-year students at MacEwan are under sleeping? Explain c. Is it necessary for the population of interest to be normally distributed for the interval in (a) to be valid? Explain. d. Briefly explain why the interval estimate from (c) is superior to the point estimate

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
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A researcher is interested in estimating the average amount of sleep obtained by first-year students at MacEwan University. The researcher obtains a random sample of 100 first-year students from MacEwan from which she obtains an average of 7.1 hours of sleep.

a. Suppose the researcher obtains a 95% confidence interval of (6.9, 3). What is the margin of error?

b. It is recommended that young adults sleep at least 7.5 hours per night. Does the interval from (a) provide evidence that, on average, first-year students at MacEwan are under sleeping? Explain

c. Is it necessary for the population of interest to be normally distributed for the interval in (a) to be valid? Explain.

d. Briefly explain why the interval estimate from (c) is superior to the point estimate.

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