The following random samples are measurements of the heat-producing capacity (in millions of calories per ton) of coal from two mines: Mine 1: 8380, 8180, 8500, 7840, 7990 Mine 2: 7660, 7510, 7910, 8070, 7790 Use the 0.05 level of significance to test whether the difference between the means of these two samples is significant. Instructions: Assume 8 = 0, in addressing the problem obtain the value of the test statistic and its corresponding p – value up to four decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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The following random samples are measurements of the heat-producing capacity (in
millions of calories per ton) of coal from two mines:
Mine 1: 8380, 8180, 8500, 7840, 7990
Mine 2: 7660, 7510, 7910, 8070, 7790
Use the 0.05 level of significance to test whether the difference between the means
of these two samples is significant.
Instructions: Assume 8 = 0, in addressing the problem obtain the value of the test
statistic and its corresponding p – value up to four decimal places.
t 3 2. 5125; р — value — 0.0375
Ot%3D2.5118;р- value
0.9819
Ot = 2.5118; p – value = 0.0363
t%3D 2. 5118; р — value
0.0181
Transcribed Image Text:The following random samples are measurements of the heat-producing capacity (in millions of calories per ton) of coal from two mines: Mine 1: 8380, 8180, 8500, 7840, 7990 Mine 2: 7660, 7510, 7910, 8070, 7790 Use the 0.05 level of significance to test whether the difference between the means of these two samples is significant. Instructions: Assume 8 = 0, in addressing the problem obtain the value of the test statistic and its corresponding p – value up to four decimal places. t 3 2. 5125; р — value — 0.0375 Ot%3D2.5118;р- value 0.9819 Ot = 2.5118; p – value = 0.0363 t%3D 2. 5118; р — value 0.0181
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