Loretta, who turns 91 this year, has heard that the mean systolic blood pressure among the elderly is 115 millimeters of mercury (mmHg), but she believes that the actual value is higher. She bases her belief on a recently reported study of 16 randomly selected, elderly adults. The sample mean systolic blood pressure of the adults in the study was 127 mmHg, and the sample standard deviation was 21 mmHg. Assume that the population of systolic blood pressures of elderly adults is normally distributed. Based on the study, at the 0.05 level of significance, can it be concluded that μ , the mean systolic blood pressure among elderly adults, is greater than 115 mmHg? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF The value of the test statistic: (Round to at least three decimal places.) The critical value at the 0.05 level of significance: (Round to at least three decimal places.) Can it be concluded, at the 0.05 level of significance, that the mean systolic blood pressure among elderly adults is greater than 115 mmHg?

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Description: Loretta, who turns 91 this year, has heard that the mean systolic blood pressure among the elderly is 115 millimeters of mercury (mmHg), but she believes that the actual value is higher. She bases her belief on a recently reported study of 16 randoml

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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Loretta, who turns

this year, has heard that the mean systolic blood pressure among the elderly is

115

millimeters of mercury (mmHg), but she believes that the actual value is higher. She bases her belief on a recently reported study of

randomly selected, elderly adults. The sample mean systolic blood pressure of the adults in the study was

127

mmHg, and the sample standard deviation was

mmHg.

Assume that the population of systolic blood pressures of elderly adults is normally distributed. Based on the study, at the

0.05

level of significance, can it be concluded that

, the mean systolic blood pressure among elderly adults, is greater than

115

mmHg?

Perform a one-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.

The null hypothesis:	H0:
The alternative hypothesis:	H1:
The type of test statistic:	(Choose one)ZtChi squareF

The value of the test statistic: (Round to at least three decimal places.)
The critical value at the 0.05 level of significance: (Round to at least three decimal places.)
Can it be concluded, at the 0.05 level of significance, that the mean systolic blood pressure among elderly adults is greater than 115 mmHg?	Yes	No

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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