4 Suppose a 95 confidence interval for mu x mu y is 352 106

4. Suppose a 95% confidence interval for mu x - mu y- is (-35.2, 10.6). Based upon the data from which the, confidence interval was constructed, someone wants to test H0 : mu x - mu y = 0 versus HA : mu x - mu not equal to. Based upon the confidence interval alone, we blow that the P-value will be less than 0.05. (a) TRUE (b) FALSE A student recorded the number of calories in each of 56 entrees - 28 vegetarian and 28 non-vegetarian. - served at a college dining hall. The following table summarizes the data. Graphs of the data show that both distributions are reasonably symmetric and bell shaped.

Solution

4. False. Since 0 lies in the interval, we fail to reject the null hypothesis. Therefore, the p-value will be greater than 0.05.

5. False. The confidence interval gives the range of population mean, not individual value.

6. True.

7. False. Since 0 lies in the interval, we fail to reject the null hypothesis.

8. False. 95% is confidence level not probability.

9. False, The 95% confidence interval would be wider (larger margin of error) than the 90% confidence interval, because it allows one to be more confident that the unknown population parameter is contained within the interval.