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Essentials of Business Statistics Study Set 1
Quiz 10: Statistical Inferences Based on Two Samples
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Question 61
Short Answer
Find a 90 percent confidence interval for the difference between the proportions of group l and group 2.Let p
1
represent the population proportion of the people in group 1 who are in favor of new packaging,and let p
2
represent the population proportion of the people in group 2 who are in favor of new packaging.
Question 62
Short Answer
Find a 90 percent confidence interval for the difference between the proportions of failures in factory 1 and factory 2,where
Question 63
Short Answer
Find a 95 percent confidence interval for μ
1
- μ
2
,where
(Assume equal population variances. )
Question 64
Short Answer
Find a 95 percent confidence interval for μ
1
- μ
2
,where
(Assume equal population variances. )
Question 65
Short Answer
Find a 95 percent confidence interval for the difference between the proportions of older and younger drivers who have tickets,where
Question 66
Short Answer
We are testing the hypothesis that the proportion of winter-quarter profit growth is more than 2 percent greater for consumer industry companies (CON)than for banking companies (BKG).At α = .10,given that
can we reject the null hypothesis?
Question 67
Short Answer
When we test H
0
:p
1
- p
2
≤ .01,H
A
:p
1
- p
2
>.01,at α = .05,where
what is the standard deviation used to calculate the test statistic?
Question 68
Short Answer
When testing H
0
: μ
1
- μ
2
= 2,H
A
: μ
1
- μ
2
> 2,where
what is the test statistic? (Assume unequal variances. )
Question 69
Short Answer
When we test H
0
: μ
1
≤ μ
2
,H
A
: μ
1
> μ
2
at α = .10,where
can we reject the null hypothesis? (Assume equal variances. )
Question 70
Short Answer
Calculate the pooled variance where sample 1 has data: 16,14,19,18,19,20,15,18,17,18;and sample 2 has data: 13,19,14,17,21,14,15,10,13,15.
Question 71
Essay
Using a 90 percent confidence interval of [-.0076,.0276] for the difference between the proportions of failures in factory 1 and factory 2,where
can we reject the null hypothesis at α = .10?
Question 72
Short Answer
Find a 98 percent confidence interval for the paired difference
Question 73
Short Answer
When we test H
0
: p
1
- p
2
≤ .01,H
A
: p
1
- p
2
> .01 at α = .05 where
can we reject the null hypothesis?
Question 74
Short Answer
When we test H
0
: μ
1
- μ
2
≤ 0,H
A
: μ
1
- μ
2
> 0,
1
= 15.4,
2
= 14.5,s
1
= 2,s
2
= 2.28,n
1
= 35,and n
2
= 18 at α = .01,can we reject the null hypothesis? (Assume unequal variances. )
Question 75
Short Answer
We are testing the hypothesis that the proportion of winter-quarter profit growth is more than 2 percent greater for consumer industry companies (CON)than for banking companies (BKG).At α = .10,given that
calculate the estimated standard deviation for the model.
Question 76
Short Answer
Find a 95 percent confidence interval for the difference between means,where
Assume unequal variances.
Question 77
Short Answer
Find a 95 percent confidence interval for μ
1
- μ
2
,where
Assume unequal variances.
Question 78
Short Answer
When we test H
0
: μ
1
≤ μ
2
,H
A
: μ
1
> μ
2
at α = .10,where
what is the estimated pooled variance?
Question 79
Short Answer
Sample 1 has data: 16,14,19,18,19,20,15,18,17,18;and sample 2 has data: 13,19,14,17,21,14,15,10,13,15.Testing the equality of means at α = .05,can we reject the null hypothesis? (Assume equal population variances. )