What is the t-critical value? (a) 2.131847 (b) 2.776445 (c) 1.859548038 (d) 2.306004 What is the p-value? (a) 0.05712 (b) 0.11424 (c) 0.015598 (d) 0.031197 At a = 0.05, what is the correct decision? (a) Do not reject the null hypothesis (b) Reject the alternative hypothesis (c) Reject the null hypothesis (d) Do not reject the alternative hypothesis
What is the t-critical value? (a) 2.131847 (b) 2.776445 (c) 1.859548038 (d) 2.306004 What is the p-value? (a) 0.05712 (b) 0.11424 (c) 0.015598 (d) 0.031197 At a = 0.05, what is the correct decision? (a) Do not reject the null hypothesis (b) Reject the alternative hypothesis (c) Reject the null hypothesis (d) Do not reject the alternative hypothesis
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Question
What is the t-critical value? (a) 2.131847 (b) 2.776445 (c) 1.859548038 (d) 2.306004
What is the p-value? (a) 0.05712 (b) 0.11424 (c) 0.015598 (d) 0.031197
At a = 0.05, what is the correct decision? (a) Do not reject the null hypothesis (b) Reject the alternative hypothesis (c) Reject the null hypothesis (d) Do not reject the alternative hypothesis

Transcribed Image Text:The following are measurements of the heat-producing capacity (in millions of calories per ton) of
random samples of five specimens each of coal from two mines:
Mine 1:
8380 8210 8360 7840 7910
AVI
Mine 2:
7540 7720 7750 8100 7690
Below are the EXCEL outputs of the data at 95% confidence level:
t-Test: Paired Two Sample for Means
t-Test: Two-Sample Assuming Equal Vari
MINE 1
MINE 2
MINE 1
MINE 2
Mean
8140
7760
Mean
8140
7760
Variance
Observations
42650 29 2 Variance
63450 42650
5
63450
Observations
:0H
Pearson Correlation -0.69059
Pooled Variance
53050
Hypothesized Mear
df
Hypothesized Mea
df
4
80
2.014279
2.608621
0.015599
t Stat
t Stat
P(T<=t) one-tail
t Critical one-tail
P(T<=t) one-tail
t Critical one-tail
0.05712
2.131847
1.859548
P(T<=t) two-tail
t Critical two-tail
P(T<=t) two-tail
t Critical two-tail
0.11424
0.031197
А.
2.776445
В.
2.306004
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