to 11 Score: 0.17 of 1 pt 218 (4 complete) HW Score: 46 67%, 3.73 of 11.3.3-T Qu
ID: 3127925 • Letter: T
Question
to 11 Score: 0.17 of 1 pt 218 (4 complete) HW Score: 46 67%, 3.73 of 11.3.3-T Question Help Use the given statistics to complete parts (a) and (b) Assume that the populations are normally distributed (a) Test whether 1 > 2 at the :0 10 level of significance for the given sample data (b) Construct a 90% confidence interval about Population 1 Population 21 43 4 47.4 (a) Identify the null and alternative hypotheses for this test D. Find the test statistic for this hypothesis test Round to two decimal places as needed) Enter your answer in the answer box and then click Check Answer Chock Answer parts remainingExplanation / Answer
test statistic =1.55
Pooled-Variance t Test for the Difference Between Two Means
(assumes equal population variances)
Data
Hypothesized Difference
0
Level of Significance
0.1
Population 1 Sample
Sample Size
26
Sample Mean
47.4
Sample Standard Deviation
4.5
Population 2 Sample
Sample Size
21
Sample Mean
43.4
Sample Standard Deviation
12.2
Intermediate Calculations
Population 1 Sample Degrees of Freedom
25
Population 2 Sample Degrees of Freedom
20
Total Degrees of Freedom
45
Pooled Variance
77.4011
Standard Error
2.5812
Difference in Sample Means
4.0000
t Test Statistic
1.5497
Upper-Tail Test
Upper Critical Value
1.3006
p-Value
0.0641
Reject the null hypothesis
Confidence Interval Estimate
for the Difference Between Two Means
Data
Confidence Level
90%
Intermediate Calculations
Degrees of Freedom
45
t Value
1.6794
Interval Half Width
4.3350
Confidence Interval
Interval Lower Limit
-0.3350
Interval Upper Limit
8.3350
90% CI =(-0.335, 8.335)
Pooled-Variance t Test for the Difference Between Two Means
(assumes equal population variances)
Data
Hypothesized Difference
0
Level of Significance
0.1
Population 1 Sample
Sample Size
26
Sample Mean
47.4
Sample Standard Deviation
4.5
Population 2 Sample
Sample Size
21
Sample Mean
43.4
Sample Standard Deviation
12.2
Intermediate Calculations
Population 1 Sample Degrees of Freedom
25
Population 2 Sample Degrees of Freedom
20
Total Degrees of Freedom
45
Pooled Variance
77.4011
Standard Error
2.5812
Difference in Sample Means
4.0000
t Test Statistic
1.5497
Upper-Tail Test
Upper Critical Value
1.3006
p-Value
0.0641
Reject the null hypothesis
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