Diane recently switched her primary Dr to one specializing in caring for elderly patients. On her new doctors website, it says that the mean systolic blood pressure among elderly females is 115 milliliters of Mercury . Diane believes the value is actually higher. She based her belief on a recent reported study of 16 randomly selected, elderly females. The sample mean systolic blood pressure Was 119 mmHg, and the sample standard deviation was 21 mmHg.

Assume that the systolic blood pressure of elderly females are approximately normally distributed. Based on the study, at the 0.10 level significance, can it be concluded that u, the population mean systolic blood pressure among elderly females, is greater than 114 mmHg?

Carry your intermediate computations to 3 or more decimal places

a). State the null and alternative hypothesis

b). Determine the statistic to use

c). Find the value of the test statistic. Round to 3

d). Find the p-value round to 3

e). Can it be concluded that the mean systolic blood pressure among elderly females is greater than 115 mmHg?