A sociologist claims that children spent more time watching television in 1981 than children do today. A study was conducted in 1981 to find the time that children watched television on weekdays. Recently, a similar study was conducted. The results of these studies (in hours per weekday) are shown below. Assume the population standard deviation is 0.6 for 1981 and 0.7 for today. At a = 0.05, can you support the sociologist's claim? Complete parts (a) through (d) below. Full data set O 1981 3.5 2.5 2.6 2.7 2.3 1.3 2.1 2.9 2.6 1.6 2.8 2.2 2.9 1.3 3.3 2.6 3.1 2.5 1.6 2.7 1.7 1.6 2.6 2.1 1.7 1.4 3.1 2.3 2.2 1.4 Recently 2.3 2.1 1.3 1.9 2.6 0.9 1.8 0.9 2.2 1.2 0.9 0.7 2.1 0.5 2.7 0.5 1.2 1.2 1.2 1.2 1.4 0.8 1.1 2.8 1.9 1.1 0.8 0.6 2.9 1.2 Let the data from 1981 be sample 1 and let the recent data be sample 2. Identify Họ and Ha. Họ: H1 S H2 Ha: H1 > H2 (b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are zo =|: (Round to three decimal places as needed. Use a comma to separate answers as needed.)

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

A sociologist claims that children spent more time watching television in 1981 than children do today. A study was conducted in 1981 to find the time that children
watched television on weekdays. Recently, a similar study was conducted. The results of these studies (in hours per weekday) are shown below. Assume the
population standard deviation is 0.6 for 1981 and 0.7 for today. At a
=0.05, can you support the sociologist's claim? Complete parts (a) through (d) below.
Full data set D
1981
3.5 2.5 2.6 2.7 2.3
1.3 2.1 2.9 2.6 1.6 2.8 2.2 2.9 1.3 3.3
2.6 3.1 2.5 1.6 2.7
1.7 1.6 2.6 2.1 1.7
1.4 3.1 2.3 2.2 1.4
Recently 2.3 2.1 1.3 1.9 2.6 0.9 1.8 0.9 2.2 1.2 0.9 0.7 2.1 0.5 2.7
0.5 1.2 1.2 1.2 1.2 1.4 0.8 1.1 2.8 1.9
1.1 0.8 0.6 2.9 1.2
Let the data from 1981 be sample 1 and let the recent data be sample 2. Identify Ho and Ha.
Ho: H1 S H2
Ha: H1 > H2
(b) Find the critical value(s) and identify the rejection region.
The critical value(s) is/are
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
Transcribed Image Text:A sociologist claims that children spent more time watching television in 1981 than children do today. A study was conducted in 1981 to find the time that children watched television on weekdays. Recently, a similar study was conducted. The results of these studies (in hours per weekday) are shown below. Assume the population standard deviation is 0.6 for 1981 and 0.7 for today. At a =0.05, can you support the sociologist's claim? Complete parts (a) through (d) below. Full data set D 1981 3.5 2.5 2.6 2.7 2.3 1.3 2.1 2.9 2.6 1.6 2.8 2.2 2.9 1.3 3.3 2.6 3.1 2.5 1.6 2.7 1.7 1.6 2.6 2.1 1.7 1.4 3.1 2.3 2.2 1.4 Recently 2.3 2.1 1.3 1.9 2.6 0.9 1.8 0.9 2.2 1.2 0.9 0.7 2.1 0.5 2.7 0.5 1.2 1.2 1.2 1.2 1.4 0.8 1.1 2.8 1.9 1.1 0.8 0.6 2.9 1.2 Let the data from 1981 be sample 1 and let the recent data be sample 2. Identify Ho and Ha. Ho: H1 S H2 Ha: H1 > H2 (b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)
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