You wish to test the following claim (Ha) at a significance level of a = 0.01. H.:µ = 55.8 Ha:µ > 55.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: Column A Column B Column C Column D Column E 72.3 73.7 53.6 74.6 41.9 41.9 39.4 30.5 59.5 68.1 35.6 64.5 53.6 50.7 58.6 76.5 56 47.7 61.3 76.5 65.3 43.2 73 43.8 74.6 63.2 66.4 69 75.5 66.4 47.7 62.2 65.3 49.2 44.4 69 72.3 70.5 69 55.1 64.9 60.7 53.3 66.8 39.4 62.2 50.7 52.3 69 67.2 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =

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 wish to test the following claim (Ha) at a significance level of a = 0.01.
H.:µ = 55.8
Ha:µ > 55.8
You believe the population is normally distributed, but you do not know the standard deviation. You
obtain the following sample of data:
Column A
Column B Column C
Column D
Column E
72.3
73.7
53.6
74.6
41.9
41.9
39.4
30.5
59.5
68.1
35.6
64.5
53.6
50.7
58.6
76.5
56
47.7
61.3
76.5
65.3
43.2
73
43.8
74.6
63.2
66.4
69
75.5
66.4
47.7
62.2
65.3
49.2
44.4
69
72.3
70.5
69
55.1
64.9
60.7
53.3
66.8
39.4
62.2
50.7
52.3
69
67.2
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.01. H.:µ = 55.8 Ha:µ > 55.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: Column A Column B Column C Column D Column E 72.3 73.7 53.6 74.6 41.9 41.9 39.4 30.5 59.5 68.1 35.6 64.5 53.6 50.7 58.6 76.5 56 47.7 61.3 76.5 65.3 43.2 73 43.8 74.6 63.2 66.4 69 75.5 66.4 47.7 62.2 65.3 49.2 44.4 69 72.3 70.5 69 55.1 64.9 60.7 53.3 66.8 39.4 62.2 50.7 52.3 69 67.2 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
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