Question

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A sociologist claims that children ages 12–14 spent less time sleeping in 1981 than children ages 12–14 do today. A study was conducted in 1981 to find the time that children ages 12–14 spent sleeping on weekdays, with the accompanying results. Assume the population standard deviation is 0.5 hour. Recently a similar study wasconducted, with the accompanying results. Assume the population standard deviation is 0.4 hour. At α equals=0.01, is there evidence to support the sociologist's claim? Complete parts (a) through (d) below.

(a) Identify the claim and state Ho Ha

What is the claim?

Let the 1981 study be sample 1 and let the recent study be sample 2. Identify Ho and Ha.

b) Find the critical value(s) and identify the rejection region.

The critical value(s) is/are =

What is the rejection region? Select the correct choice below and fill in the answer box(es) within your choice.

C. Find the standardized test statistic z. Z=

(d) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. ____Ho. There ____ enough evidence at the 11% level of significance to ______the sociologist's claim that children ages 12-14 spent _____ time sleeping in 1981 than children ages 12–14 do today.

Answer 1