You own two small gift shops, one in City A and one in City B. You are interested in which city spends more on Valentine's day gifts. So you test the claim that the mean amount spent in City A is less than the mean amount spent in City B You wish to test the claim that the mean amount spent in City A is less than the mean amount spent in City B at a significance level of a = 0.05. You obtain the following two samples of data from each city. Each data point is the amount of a Valentine's Day gift purchase. City A City B 82.6 82.0 62.8 75.0 64.4 48.0 76.6 63.6 96.3 40.7 55.0 57.7 71.6 82.8 75.3 60.4 73.2 62.9 53.8 45.8 59.2 36.6 46.7 TTT TTT

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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You own two small gift shops, one in City A and one in City B. You are interested in which city spends more
on Valentine's day gifts. So you test the claim that the mean amount spent in City A is less than the mean
amount spent in City B
You wish to test the claim that the mean amount spent in City A is less than the mean amount spent in City
B at a significance level of a = 0.05.
You obtain the following two samples of data from each city. Each data point is the amount of a Valentine's
Day gift purchase.
City A
City B
82.6
82.0
62.8
75.0
64.4
48.0
76.6
63.6
96.3
40.7
55.0
57.7
71.6
82.8
75.3
60.4
73.2
62.9
53.8
45.8
59.2
36.6
46.7
a. What is the test statistic for this sample?
test statistic
Round to 4 decimal places.
%D
b. What is the p-value for this sample?
p-value
Round to 4 decimal places.
%3D
Transcribed Image Text:You own two small gift shops, one in City A and one in City B. You are interested in which city spends more on Valentine's day gifts. So you test the claim that the mean amount spent in City A is less than the mean amount spent in City B You wish to test the claim that the mean amount spent in City A is less than the mean amount spent in City B at a significance level of a = 0.05. You obtain the following two samples of data from each city. Each data point is the amount of a Valentine's Day gift purchase. City A City B 82.6 82.0 62.8 75.0 64.4 48.0 76.6 63.6 96.3 40.7 55.0 57.7 71.6 82.8 75.3 60.4 73.2 62.9 53.8 45.8 59.2 36.6 46.7 a. What is the test statistic for this sample? test statistic Round to 4 decimal places. %D b. What is the p-value for this sample? p-value Round to 4 decimal places. %3D
c. The p-value is...
O less than (or equal to) a
greater than a
d. This test statistic leads to a decision to...
O reject the null
accept the null
O fail to reject the null
e. As such, the final conclusion is that...
O There is sufficient evidence to warrant rejection of the claim that the mean amount spent in
City A is less than the mean amount spent in City B.
There is not sufficient evidence to warrant rejection of the claim that the mean amount spent
in City A is less than the mean amount spent in City B.
O The sample data support the claim that the mean amount spent in City A is less than the mean
amount spent in City B.
There is not sufficient sample evidence to support the claim that the mean amount spent in
City A is less than the mean amount spent in City B.
Transcribed Image Text:c. The p-value is... O less than (or equal to) a greater than a d. This test statistic leads to a decision to... O reject the null accept the null O fail to reject the null e. As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the mean amount spent in City A is less than the mean amount spent in City B. There is not sufficient evidence to warrant rejection of the claim that the mean amount spent in City A is less than the mean amount spent in City B. O The sample data support the claim that the mean amount spent in City A is less than the mean amount spent in City B. There is not sufficient sample evidence to support the claim that the mean amount spent in City A is less than the mean amount spent in City B.
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