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
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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 = 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

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
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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