MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Blood Pressure Study Analysis**

Lucy 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). Lucy believes the value is actually higher. She bases her belief on a recently reported study of 19 randomly selected, elderly females. The sample mean systolic blood pressure was 132 mmHg, and the sample standard deviation was 24 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 the population mean systolic blood pressure among elderly females is greater than 120 mmHg?

**Perform a one-tailed test.** Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)

(a) **State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \):**
- \( H_0: \) [Population mean = 120 mmHg]
- \( H_1: \) [Population mean > 120 mmHg]

(b) **Determine the type of test statistic to use.**
- [Choose one from options: z, t, chi-square, etc.]

(c) **Find the value of the test statistic.** (Round to three or more decimal places.)
- [Calculation space provided.]

(d) **Find the critical value.** (Round to three or more decimal places.)
- [Calculation space provided.]

(e) **Can it be concluded that the mean systolic blood pressure among elderly females is greater than 120 mmHg?**
- [Yes / No options provided.]

**Explanation and Check:**
A section is available for further explanations or to verify calculations and conclusions.
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Transcribed Image Text:**Blood Pressure Study Analysis** Lucy 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). Lucy believes the value is actually higher. She bases her belief on a recently reported study of 19 randomly selected, elderly females. The sample mean systolic blood pressure was 132 mmHg, and the sample standard deviation was 24 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 the population mean systolic blood pressure among elderly females is greater than 120 mmHg? **Perform a one-tailed test.** Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) **State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \):** - \( H_0: \) [Population mean = 120 mmHg] - \( H_1: \) [Population mean > 120 mmHg] (b) **Determine the type of test statistic to use.** - [Choose one from options: z, t, chi-square, etc.] (c) **Find the value of the test statistic.** (Round to three or more decimal places.) - [Calculation space provided.] (d) **Find the critical value.** (Round to three or more decimal places.) - [Calculation space provided.] (e) **Can it be concluded that the mean systolic blood pressure among elderly females is greater than 120 mmHg?** - [Yes / No options provided.] **Explanation and Check:** A section is available for further explanations or to verify calculations and conclusions.
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