Answered: Tammy recently switched her primary…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Tammy 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). Tammy believes the value is actually higher. She bases her belief on a recently reported study of 17 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.

a. State the null hypothesis H0 and the alternative hypothesis H1.

b. Find the value of the test statistic. (Round to three or more decimal places.)

c. Find the p-value. (Round to three or more decimal places.)

d. Can it be concluded that the mean systolic blood pressure ampng elderly females is greater than 120mmHG?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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