(Solved): thanks in advance! Kaitin recently switched her primary doctor to one specializing in caring for eld ...

Kaitin recently switched her primary doctor to one specializing in caring for elderly patients. On her new doctor's website, it says that the mean systolic blood pressure among elderly females is 120 millimeters of mercury (mmHg). Kaitlin believes the value is actually higher, She bases her betief on a recently reported study of 22 randomly selected, elderly females. The sample mean systolic blood pressure was 126 mmHg, and the sample standard deviation was 21 mmHg. Assume that the systolic blood pressures of elderly females are approximately normally distributed. Based on the study, at the \( 0.05 \) level of significance, can it be concluded that \( \mu_{1} \), the ponulation mean systolic blood pressure among elderly females, is greater than 120 mmHg? Perform a oncitalled test. Then complete the parts below. Carcy your intermedlate computations to three or more decimal places. (If necessary, consult a llat. of formula5.) (a) State the null hypothesis \( \mathrm{H}_{0} \) and the alternative hypothesis \( \mathrm{H}_{1} \). \[ \begin{array}{l} H_{0}: \square \\ H_{1}: \square \end{array} \] (b) Determine the type of test statistic to use. (c) Find the value of the test statistic (Round to three or more decimal places.) (d) Find the p-value, (hound to three or more decimal places.) (6) Can it be conduded that the manan systotic blocd pressure among elderly females is greater than \( 120 \mathrm{mmH} \) ?