Suppose that a survey is being planned for purposes of estimating the average number of hours spent exercising daily by adults (18 years of age or older) living in a certain area at Batu Pahat. Suppose this list consists o: five households and the information of hours spent for exercising are shown in Table Q1(d). (d) Table Q1(d) : Number Of Hours Spent For Exercising By Adults Number of Hours Spent for Exercising by All Adults Household 1 2 2 9 3 14 4 40 12 Compute and list down all possible samples if sample of two households are selected. (i) (ii) For the first sampling plan, select all possible sample as listed in Q1(d)(i) and calculate the expected value of mean and variance of the estimated mean number of hours spent for exercising. (iii) For the second sampling plan which consist of household (1 and 2), (1 and 3), (1 and 4), (1 and 5), and (2 and 3), calculate the expected value of mean and variance of the estimated mean number of hours spent for exercising.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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Suppose that a survey is being planned for purposes of estimating the
average number of hours spent exercising daily by adults (18 years of age
or older) living in a certain area at Batu Pahat. Suppose this list consists of
five households and the information of hours spent for exercising are
shown in Table Q1(d).
(d)
Table Q1(d) : Number Of Hours Spent For Exercising By Adults
Number
of Hours Spent
for Exercising by
Household
All Adults
1
2
9.
3
14
4
40
5
12
Compute and list down all possible samples if sample of two
households are selected.
(i)
(ii)
For the first sampling plan, select all possible sample as listed in
Q1(d)(i) and calculate the expected value of mean and variance of
the estimated mean number of hours spent for exercising.
(ii)
For the second sampling plan which consist of household (1 and
2), (1 and 3), (1 and 4), (1 and 5), and (2 and 3), calculate the
expected value of mean and variance of the estimated mean
number of hours spent for exercising.
(iv)
Which sampling plan is bias? Explain your answer.
2.
Transcribed Image Text:Suppose that a survey is being planned for purposes of estimating the average number of hours spent exercising daily by adults (18 years of age or older) living in a certain area at Batu Pahat. Suppose this list consists of five households and the information of hours spent for exercising are shown in Table Q1(d). (d) Table Q1(d) : Number Of Hours Spent For Exercising By Adults Number of Hours Spent for Exercising by Household All Adults 1 2 9. 3 14 4 40 5 12 Compute and list down all possible samples if sample of two households are selected. (i) (ii) For the first sampling plan, select all possible sample as listed in Q1(d)(i) and calculate the expected value of mean and variance of the estimated mean number of hours spent for exercising. (ii) For the second sampling plan which consist of household (1 and 2), (1 and 3), (1 and 4), (1 and 5), and (2 and 3), calculate the expected value of mean and variance of the estimated mean number of hours spent for exercising. (iv) Which sampling plan is bias? Explain your answer. 2.
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