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 f 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. 1981 1.6 2.9 3.4 1.2 2.3 2.2 2.2 2.3 1.7 2.8 1.1 1.7 1.5 1.2 2.1 Recently 2.7 0.9 2.8 2.6 1.1 2.2 2.2 1.2 3.1 2.6 3.2 2.5 2.9 1.9 2.7 3.2 2.7 1.3 2.9 1.9 2.6 2.6 1.8 3.3 2.6 HoHgs 12 Ha: H1 H2 (b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are zo = 1.64. (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the rejection region? Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.) OA. or z> OB. z< Full data set 2.2 2.2 2.9 1.3 2.2 2.6 1.1 2.3 2.6 2.6 3.2 1.5 1.2 1.6 2.1 2.7 2.6 3.3 1.3 1.6 C. z> 1.64 (c) Find the standardized test statistic z. Z= (Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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also need to know whether to reject to fail to reject and the concldecision 

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 x = 0.05, can you support the sociologist's claim? Complete parts
(a) through (d) below.
απ
Full data set
1.6 2.9 3.4 1.2 2.3 2.2 2.2 2.3 1.7 2.8 2.2 2.2 2.9 1.3 2.2
1.1 1.7 1.5 1.2 2.1 2.2 2.2 1.2 3.1 2.6 2.6 1.1 2.3 2.6 2.6
Recently 2.7 0.9 2.8 2.6 1.1 3.2 2.5 2.9 1.9 2.7 3.2 1.5 1.2 1.6 2.1
3.2 2.7 1.3 2.9 1.9 2.6 2.6 1.8 3.3 2.6 2.7 2.6 3.3 1.3 1.6
1981
Ho: 1 ≤ μ2
Ha: 1 > H2
(b) Find the critical value(s) and identify the rejection region.
The critical value(s) is/are zo
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
Z=
What is the rejection region? Select the correct choice below and fill in the answer box(es) within your choice.
(Round to two decimal places as needed.)
B.
Z<
Z<
or z>
= 1.64.
z> 1.64
(c) Find the standardized test statistic z.
(Round to two decimal places 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 x = 0.05, can you support the sociologist's claim? Complete parts (a) through (d) below. απ Full data set 1.6 2.9 3.4 1.2 2.3 2.2 2.2 2.3 1.7 2.8 2.2 2.2 2.9 1.3 2.2 1.1 1.7 1.5 1.2 2.1 2.2 2.2 1.2 3.1 2.6 2.6 1.1 2.3 2.6 2.6 Recently 2.7 0.9 2.8 2.6 1.1 3.2 2.5 2.9 1.9 2.7 3.2 1.5 1.2 1.6 2.1 3.2 2.7 1.3 2.9 1.9 2.6 2.6 1.8 3.3 2.6 2.7 2.6 3.3 1.3 1.6 1981 Ho: 1 ≤ μ2 Ha: 1 > H2 (b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are zo (Round to two decimal places as needed. Use a comma to separate answers as needed.) Z= What is the rejection region? Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.) B. Z< Z< or z> = 1.64. z> 1.64 (c) Find the standardized test statistic z. (Round to two decimal places as needed.)
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