a)Test at the 1% significance level, do the data provide sufficient evidence to conclude that the amount of television watched per day last year by the average person differed from that in 2005? (b)What is the P-value of the test in part (a)?  (c)Obtain a confidence interval corresponding to the test in part (a).  (d)Does the interval in part (c) support the result in part (a)? Explain your answer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 3GP
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. Previous studies showed that the average person watched 4.55 hours of television per day in 2005. A random sample of 20 people gave the following number of hours of television watched per day for last year. The sample mean is ?̅=4.76 hours and the sample standard deviation is ? = 2.30 hours. (See data on file: M08_Hour_Q8.xlsx)

 (a)Test at the 1% significance level, do the data provide sufficient evidence to conclude that the amount of television watched per day last year by the average person differed from that in 2005?

(b)What is the P-value of the test in part (a)?

 (c)Obtain a confidence interval corresponding to the test in part (a).

 (d)Does the interval in part (c) support the result in part (a)? Explain your answer.

umber of hours of felevision watched per day for last year. The sample
mean is i =4.76 hours and the sample standard deviation is s = 2.30 hours.
(See data on file: M08_Hour_Q8.xlsx)
1.0 4.6 5.4 3.7 5.2
1.7
6.1
1.9
7.6
9.1
6.9
5.5
9.0
3.9
2.5
2.4
4.7
4.1
3.7
6.2
Transcribed Image Text:umber of hours of felevision watched per day for last year. The sample mean is i =4.76 hours and the sample standard deviation is s = 2.30 hours. (See data on file: M08_Hour_Q8.xlsx) 1.0 4.6 5.4 3.7 5.2 1.7 6.1 1.9 7.6 9.1 6.9 5.5 9.0 3.9 2.5 2.4 4.7 4.1 3.7 6.2
8. Previous studies showed that the average person watched 4.55 hours of television per day in 2005. A
random sample of 20 people gave the following number of hours of television watched per day for last
year. The sample mean is x=4.76 hours and the sample standard deviation is s = 2.30 hours. (See data
on file: M08_Hour_Q8.xlsx)
(a)Test at the 1% significance level, do the data provide sufficient evidence to conclude that the amount
of television watched per day last year by the average person differed from that in 2005?
(b)What is the P-value of the test in part (a)?
(c)Obtain a confidence interval corresponding to the test in part (a).
(d)Does the interval in part (c) support the result in part (a)? Explain your answer.
Transcribed Image Text:8. Previous studies showed that the average person watched 4.55 hours of television per day in 2005. A random sample of 20 people gave the following number of hours of television watched per day for last year. The sample mean is x=4.76 hours and the sample standard deviation is s = 2.30 hours. (See data on file: M08_Hour_Q8.xlsx) (a)Test at the 1% significance level, do the data provide sufficient evidence to conclude that the amount of television watched per day last year by the average person differed from that in 2005? (b)What is the P-value of the test in part (a)? (c)Obtain a confidence interval corresponding to the test in part (a). (d)Does the interval in part (c) support the result in part (a)? Explain your answer.
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