QUESTION 4 Suppose that a random sample of 50 bottles of particular brand of cou

Question

QUESTION 4 Suppose that a random sample of 50 bottles of particular brand of cough medicine is selected and the alcohol content of each bottle measured. The sample mean alcohol content is 8.6ml with a population standard deviation of 2.88ml. A 99% confidence interval for the true mean alcohol con- tent for the population of all bottles of the brand under study was calculated as being (7.55; 9.65). If we were interested in testing the null hypothesis that the population mean is equal to 8.5. Using the 99% confidence interval calculated above, our conclusion would be: 1. Reject the null hypothesis since the 99% confidence interval does contain the point 85. 2. Reject the null hypothesis since the 99% confidence interval does not contain the point 85. 3. Do not reject the null hypothesis since the 99% confidence interval does contain the point 85. 4. Do not reject the null hypothesis since the 99% confidence interval does not contain the point 8.5. 5. None of the above.

Explanation / Answer

Option-3) Do not reject the null hypothesis since the 99% confidence interval does contain the point 8.5

                                                                                                                                                                                                                                                                                                                          

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