Answered: a) What is the setup for your null and…

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

In the year 2033, Sarai Patterson is a leading traveling nurse. Sarai is interested in reducing the mean recovery time for patients after experiencing a serious injury (assume recovery times are normally distributed). Suppose the mean recovery time is presently 8.6 months. Sarai takes a random sample of 46 patients that have experienced serious injury to participate in a new treatment program and finds the sample mean is 8.1months and a sample standard deviation of 1.2 months. Using α = 0.05, answer the following questions.

a) What is the setup for your null and alternative hypothesis?

b) What is the value of the test statistic?

c) What is/are the critical value(s)?

d) Using the appropriate level of confidence, what is the confidence interval?

e) What is the interpretation (not your conclusions) of the confidence interval (in the context of the problem) you obtained in part c?

f) What is the p value?

g) What is the interpretation (not your conclusions) of the p value in the context of the problem you found in part e?

h) What are your conclusions in the context of the problem? Relate your conclusions to the test statistic and critical value, confidence interval and p value

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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