Please see the attached photo is 120 millimeters of mercury (mmtig), but she believesthat the actual value is higher. She bases herbelief on a recently reported study of 22 randomlyselected,...

Please see the attached photo

Extracted text: Loretta, who turns 91 this year, has heard that the mean systolic blood pressure among the elderly >is 120 millimeters of mercury (mmtig), but she believes that the actual value is higher. She bases her belief on a recently reported study of 22 randomly selected, elderly adults. The sample mean systolic blood pressure of the adults in the study was 129 mmHg, and the sample standard deviation was 20 mmHg. Assume that the population of systolic blood pressures of elderly adults is normally distributed. Based on the study, at the o.05 level of significance, can it be concluded that u, the mean systolic blood pressure among elderly adults, is greater than 120 mmHg Perform a one-tailed test. Then complete the mitg? parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) v OSO (c) Find the value the test statistic. (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal places.) (e) Can it be concluded, at the 0.05 level of significance, that the mean systolic blood pressure among elderly adults is greater than 120 mmHg? OYes ONo