Statistics II20775 marksNumerical: independent t-test, CILinkage between confidence interval and testing of hypothesi
Independent t-test and Confidence Interval Analysis Based on the following information, perform the following: a. Test whether two means are significantly different (α = 5%) using independent t-test. b. Compare 95% confidence interval estimation for the difference of means. c. Show the linkage betwe
Independent t-test and Confidence Interval Analysis
Based on the following information, perform the following:
a. Test whether two means are significantly different (α = 5%) using independent t-test.
b. Compare 95% confidence interval estimation for the difference of means.
c. Show the linkage between testing of hypothesis and confidence interval estimation in this problem.
| Group I | Group B | |
|---|---|---|
| Sample mean | 10 | 15 |
| Sample Standard Deviation | 3 | 5 |
| Sample Size | 49 | 64 |
[5]
Group I Group B --------- Sample mean $\bar{X}1 = 10$ $\bar{X}2 = 15$ Sample SD $S1 = 3$ $S2 = 5$ Sample size $n1 = 49$ $n2 = 64$ - Significance level: $\alpha = 0.05$ - Confidence level: 95% Note: Both samples are large ($n1, n2 30$), so the sampling distribution is approximately normal and