Hypothesis test Leila 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). Leila believes the value is actually higher. She bases her belief on a recently reported study of 15 randomly selected, elderly females. The sample mean systolic blood pressure was 131 mmHg, and the sample standard deviation was 20 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 μ, 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, and the alternative hypothesis H₁. Ho :D H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the critical value. (Round to three or more decir places.) 0 (e) Can it be concluded that the mean systolic blood pressure among elderly females is greater than 120 mmHg? OYes O No H X 0=0 0-0 X O S 0 Р ê $ DO OSO 020 O< >O Español 6 V ?
Hypothesis test Leila 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). Leila believes the value is actually higher. She bases her belief on a recently reported study of 15 randomly selected, elderly females. The sample mean systolic blood pressure was 131 mmHg, and the sample standard deviation was 20 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 μ, 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, and the alternative hypothesis H₁. Ho :D H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the critical value. (Round to three or more decir places.) 0 (e) Can it be concluded that the mean systolic blood pressure among elderly females is greater than 120 mmHg? OYes O No H X 0=0 0-0 X O S 0 Р ê $ DO OSO 020 O< >O Español 6 V ?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
).
**Steps:**
(a) **State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \).**
- \( H_0: \) [Null Hypothesis]
- \( H_1: \) [Alternative Hypothesis]
(b) **Determine the type of test statistic to use.**
- [Choose one from dropdown menu]
(c) **Find the value of the test statistic. (Round to three or more decimal places.)**
- [Input field for test statistic]
(d) **Find the critical value. (Round to three or more decimal places.)**
- [Input field for critical value]
(e) **Can it be concluded that the mean systolic blood pressure among elderly females is greater than 120 mmHg?**
- [Yes/No option]
**Symbols Panel:**
- Symbols for population mean (\( \mu \)), standard deviation (\( \sigma \)), sample mean, sample standard deviation, etc.
The calculation involves determining whether the sample mean is significantly greater than the population mean, using the test statistic and critical values to draw conclusions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5a1b2b9d-136a-4887-96f9-8b3f93dfa3b9%2F988b464d-4d62-4151-9832-bd04b564fe7a%2Fd1b8349_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Hypothesis Test for the Population Mean: t Test Using the Critical Value Approach
**Scenario:**
Leila recently switched her primary doctor to one specializing in caring for elderly patients. On her new doctor's website, it states that the mean systolic blood pressure among elderly females is 120 millimeters of mercury (mmHg). Leila believes the value is actually higher. She bases her belief on a recently reported study of 15 randomly selected, elderly females. The sample mean systolic blood pressure was 131 mmHg, and the sample standard deviation was 20 mmHg.
**Assumptions:**
Assume that the systolic blood pressures of elderly females are approximately normally distributed.
**Objective:**
Based on the study, at the 0.05 level of significance, can it be concluded that \( \mu \), the population mean systolic blood pressure among elderly females, is greater than 120 mmHg?
**Tasks:**
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](https://www.example.com)).
**Steps:**
(a) **State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \).**
- \( H_0: \) [Null Hypothesis]
- \( H_1: \) [Alternative Hypothesis]
(b) **Determine the type of test statistic to use.**
- [Choose one from dropdown menu]
(c) **Find the value of the test statistic. (Round to three or more decimal places.)**
- [Input field for test statistic]
(d) **Find the critical value. (Round to three or more decimal places.)**
- [Input field for critical value]
(e) **Can it be concluded that the mean systolic blood pressure among elderly females is greater than 120 mmHg?**
- [Yes/No option]
**Symbols Panel:**
- Symbols for population mean (\( \mu \)), standard deviation (\( \sigma \)), sample mean, sample standard deviation, etc.
The calculation involves determining whether the sample mean is significantly greater than the population mean, using the test statistic and critical values to draw conclusions.
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