Testing of hypothesis
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To determine confidence interval of mean and test if there is significant difference between means. See attached file for full problem description.
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Solution Summary
The confidence intervals of means are determined. Significant differences between means are examined.
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Please see the attached files.
Problem 1:
Since the sample size is < 30 the test statistic is given by
_
x - μ ~ t with n-1 degrees of freedom
sd / √n
Therefore
_
| x - μ | < tα/2 at n-1 degrees of freedom
sd / √n
| 3.781 - μ | < 2.262
0.057222
| 3.781 - μ | < 2.262 * .057222 = .129436
| μ - 3.781 | < 2.262 * .057222 = .129436
- .129436 + 3.781 < μ ...
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