Homework SourseH1 The mean of sample A is significantly different than the
- H1: The mean of sample A is significantly different than the mean of sample B. Sample A: 59 48 74 62 87 73 Sample B: 53 67 77 57 93 79 Use a two-tailed t-test of independent samples for the above hypothesis and data. What is the p-value? (Answer to 3 decimal places)Is the answer 0.663? Or 0.653???
- H1: The mean of sample A is significantly different than the mean of sample B. Sample A: 59 48 74 62 87 73 Sample B: 53 67 77 57 93 79 Use a two-tailed t-test of independent samples for the above hypothesis and data. What is the p-value? (Answer to 3 decimal places)Is the answer 0.663? Or 0.653???
Solution
Is the answer 0.663? Or 0.653???
Answer: 0.653
Excel OUTPUT
Pooled-Variance t Test for the Difference Between Two Means
(assumes equal population variances)
Data
Hypothesized Difference
0
Level of Significance
0.05
Population 1 Sample
Sample Size
6
Sample Mean
67.1667
Sample Standard Deviation
13.6736
Population 2 Sample
Sample Size
6
Sample Mean
71
Sample Standard Deviation
14.9666
Intermediate Calculations
Population 1 Sample Degrees of Freedom
5
Population 2 Sample Degrees of Freedom
5
Total Degrees of Freedom
10
Pooled Variance
205.4833
Standard Error
8.2761
Difference in Sample Means
-3.8333
t Test Statistic
-0.4632
Two-Tail Test
Lower Critical Value
-2.2281
Upper Critical Value
2.2281
p-Value
0.6532
Do not reject the null hypothesis
| Pooled-Variance t Test for the Difference Between Two Means | |
| (assumes equal population variances) | |
| Data | |
| Hypothesized Difference | 0 |
| Level of Significance | 0.05 |
| Population 1 Sample | |
| Sample Size | 6 |
| Sample Mean | 67.1667 |
| Sample Standard Deviation | 13.6736 |
| Population 2 Sample | |
| Sample Size | 6 |
| Sample Mean | 71 |
| Sample Standard Deviation | 14.9666 |
| Intermediate Calculations | |
| Population 1 Sample Degrees of Freedom | 5 |
| Population 2 Sample Degrees of Freedom | 5 |
| Total Degrees of Freedom | 10 |
| Pooled Variance | 205.4833 |
| Standard Error | 8.2761 |
| Difference in Sample Means | -3.8333 |
| t Test Statistic | -0.4632 |
| Two-Tail Test | |
| Lower Critical Value | -2.2281 |
| Upper Critical Value | 2.2281 |
| p-Value | 0.6532 |
| Do not reject the null hypothesis |
