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An article in the National Geographic News (February 24, 2005) reports that Americans are increasingly skimping...

An article in the National Geographic News (February 24, 2005) reports that Americans are increasingly skimping on their sleep. A researcher wants to determine if Americans are sleeping less than the recommended 7 hours of sleep on weekdays. He takes a random sample of 150 Americans and computes the average sleep time of 6.7 hours on weekdays. Assume that the population is normally distributed with a known standard deviation of 2.1 hours. Use Table 1.
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Answer #1

The test statistic is

  

P-value = P(Z < -1.75)

= 0.0401

At , since the p-value is less than , so we should reject the null hypothesis.

At 0.05 significance level, there is sufficient evidence to conclude that American are sleeping less than the recommended 7 hours of sleep on weekdays

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