A sociologist claims that children ages 12-14 spent less time sleeping 001 than

Question

A sociologist claims that children ages 12-14 spent less time sleeping 001 than children ages 12 do today. A study conducted with the accompanying resuts. A 0.4 hour. At 0.0 the populat Click the icon to view the sleepingtimes trom the two diferent studies. (aj ldentty the clam and state Ha and Ha- the clam? O A. Children ages 12-14 spent the same amount of time sleeping in 1981 as children ages 12-14 do today. O B. Children ages 12- pent less time sleeping 001 than children ages do today. OC. Children ages 12- less time sleeping 1881 than children ages 12-14 do today. D. Children ages 12- 1881 than children ages 12-14 do today. time sleeping Let the 1981 study be Rample 1 ad let the secent etudy be sample 2 kdentify Ha and H, (b Find the critical valuels and identify the reection region. The critical valuelsh is are zo (Round to two decimal places needed. Use What is the reiection region? Select the correct choice below and filin the within your choice (Round to two decimal places (c) Find the standatdzed test Rtatistic2. Round to two decimal places (di Decide whether to reject or fail to reject the nul hypotheRiR and interpret the decision the context of the original claim 001 to find the time that children ages 12- pent sleeping on weekdays. with the accompanying results. A there evidence to support the sociologists claim? Complete parts (a) through (d)below. Sleeping Times 081 Sleeping Recent Sleeping 7.3 9.3 77 94 88 9.7 7.9 8.8 9.2 88 8.2 8.9 78 88 70 7.9 Done the populati 0.5 hour. Recently

Explanation / Answer

(a) What is the claim?

The children ages 12-14 spent less time sleeping in 1991 than children ages 12-14 today. Option B is correct.

H0 : 1 = 2

Ha : 1 < 2

(b) For alpha = 0.01 and left tailed test Zcritical = - 2.33

Rejection region is z < - 2.33

(c) Test Statistic

Z = (X1991- bar - Xrecent -bar) / sqrt [ 12/n1 + 22/n2]

Here Xrecent -bar = mean hour sleep of recent times = 8.975

x1960 - bar = mean hour sleep for 1991 = 7.715

1 = 0.5 hour and 2 = 0.4 hour

Z = ( 8.975 - 7.715)/ sqrt [ 0.52 /20 + 0.42 /20]

Z = 1.26/ 0.1432 = -8.8

(d) Reject Null Hypothesis . there is enough evience at the 1% level of significane to support the socologist's claim that children ages 12- 14 ages have less time sleeping in 1991 than children ages 12- 14 today.

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