(a) There is a 95% chance the mean number of hours worked by adults in this country in the previous week was between 40.4 hours and 43.6 hours. O A. Flawed. This interpretation implies that the population mean varies rather than the interval. B. Flawed. This interpretation makes an implication about individuals rather than the mean. C. Flawed. This interpretation implies that the mean is only for last week. D. Correct. This interpretation is reasonable. (b) We are 95% confident that the mean number of hours worked by adults in this country in the previous week was between 40.4 hours and 43.6 hours. A. Flawed. This interpretation makes an implication about individuals rather than the mean. B. Flawed. This interpretation does not make it clear that the 95% is the probability that the mean is within the interval. C. Correct. This interpretation is reasonable. D. Flawed. This interpretation implies that the population mean varies rather than the interval. (c) 95% of adults in this country worked between 40.4 hours and 43.6 hours last week.
(a) There is a 95% chance the mean number of hours worked by adults in this country in the previous week was between 40.4 hours and 43.6 hours. O A. Flawed. This interpretation implies that the population mean varies rather than the interval. B. Flawed. This interpretation makes an implication about individuals rather than the mean. C. Flawed. This interpretation implies that the mean is only for last week. D. Correct. This interpretation is reasonable. (b) We are 95% confident that the mean number of hours worked by adults in this country in the previous week was between 40.4 hours and 43.6 hours. A. Flawed. This interpretation makes an implication about individuals rather than the mean. B. Flawed. This interpretation does not make it clear that the 95% is the probability that the mean is within the interval. C. Correct. This interpretation is reasonable. D. Flawed. This interpretation implies that the population mean varies rather than the interval. (c) 95% of adults in this country worked between 40.4 hours and 43.6 hours last week.
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
Related questions
Question
Transcribed Image Text:10. In a survey, 500 adults in a certain country were asked how many hours they worked in the previous week. Based on the
results, a 95% confidence interval for mean number of hours worked was lower bound: 40.4 and upper bound: 43.6. Which
of the following represents a reasonable interpretation of the result? For those that are not reasonable, explain the flaw.
Complete parts (a) through (d) below.
(a) There is a 95% chance the mean number of hours worked by adults in this country in the previous week was between
40.4 hours and 43.6 hours.
A. Flawed. This interpretation implies that the population mean varies rather than the interval.
B. Flawed. This interpretation makes an implication about individuals rather than the mean.
O C. Flawed. This interpretation implies that the mean is only for last week.
O D. Correct. This interpretation is reasonable.
(b) We are 95% confident that the mean number of hours worked by adults in this country in the previous week was
between 40.4 hours and 43.6 hours.
A. Flawed. This interpretation makes an implication about individuals rather than the mean.
O B. Flawed. This interpretation does not make it clear that the 95% is the probability that the mean is within the interval.
C. Correct. This interpretation is reasonable.
O D. Flawed. This interpretation implies that the population mean varies rather than the interval.
(c) 95% of adults in this country worked between 40.4 hours and 43.6 hours last week.
O A. Flawed. This interpretation does not make it clear that the 95% is the probability that the mean is within the interval.
O B. Flawed. This interpretation implies that the mean is only for last week.
C. Flawed. This interpretation makes an implication about individuals rather than the mean.
O D. Correct. This interpretation is reasonable.
(d) We are 95% confident that the mean number of hours worked by adults in a particular area of this country in the
previous week was between 40.4 hours and 43.6 hours.
A. Flawed. The interpretation should be about the mean number of hours worked by adults in the whole country, not at
O B. Flawed. This interpretation makes an implication about individuals rather than the mean.
OC. Flawed. This interpretation implies that the population mean varies rather than the interval.
D. Correct. This interpretation is reasonable.
11. A trade magazine routinely checks the drive-through service times of fast-food restaurants. An 80% confidence interval
that results from examining 711 customers in one fast-food chain's drive-through has a lower bound of 171.3 seconds and
an upper bound of 174.5 seconds. What does this mean?
Choose the correct answer below.
O A. One can be
% confident that the mean drive-through service time of this fast-food chain is
O B. One can be
% confident that the mean drive-through service time of this fast-food chain is between
O C. There is a
% probability that the mean drive-through service time of this fast-food chain is between
O D. The mean drive-through service time of this fast-food chain is
seconds
% of the tim
O O
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