Question

A confidence interval for a sample is given, followed by several hypotheses to test using that sample. In each case, use the confidence interval to give a conclusion of the test (if possible) and also state the significance level you are using. A 99%99% confidence interval for μμ: 100 to 136 (a) H0: μ=88H0: μ=88 vs Ha: μ≠88Ha: μ≠88 Conclusion: Choose the answer from the menu in accordance to item (a) of the question statement H0H0 Significance level: Choose the answer from the menu in accordance to item (a) of the question statement (b) H0: μ=102H0: μ=102 vs Ha: μ≠102Ha: μ≠102 Conclusion: Choose the answer from the menu in accordance to item (b) of the question statement H0H0 Significance level: Choose the answer from the menu in accordance to item (b) of the question statement

Answer 1

Explanation:

Given is the results of a hypothesis testing for sample mean with population mean.

`H_0; \bar x = 88\\H_a: \bar x \\eq 88`

(Two tailed test at 1% significance level)

Reason:Two tailed because confidence interval is (100,136) with mean =118

Significance level = 100-confidence level

Given that confidence interval is (100,136)

i.e. we can be 99% confident that if samples for large sizes are drawn from this population will have mean within this interval

In this case sample mean 88 does not fall within this interval

Hence our null hypothesis has to be rejected