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1. A sample of n=13 observations has a sample mean of x= 2.879. If an assumed known standard deviation of o = 0.325 is used, calculate the p-values for the hypothesis testing problems: (a) Ho : µ = 3.0 versus HA :H 3.0. (b) Ho : µ>3.1 versus HA :µ < 3.1. а.

1. A sample of n=13 observations has a sample mean of x= 2.879. If an assumed known standard deviation of o = 0.325 is used, calculate the p-values for the hypothesis testing problems: (a) Ho : µ = 3.0 versus HA :H 3.0. (b) Ho : µ>3.1 versus HA :µ < 3.1. а.

MATLAB: An Introduction with Applications
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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1. A sample of n=13 observations has a sample mean of x= 2.879. If an assumed known standard deviation of o = 0.325 is used, calculate the p-values for the hypothesis testing problems: а. (a) Ho : µ = 3.0 versus HA :µ 3.0. (b) Ho : µ>3.1 versus HA :u< 3.1. %3D b. A food manufacturer claims that at the time of purchase by a consumer the average age of its product is no more than 120 days. In an experiment to test this claim a random sample of 36 items are found to have ages at the time of purchase with a sample mean of x= 122.5 days and a sample standard deviation of s = 13.4 days. (a) Write down the null hypothesis and the alternative hypothesis that the experimenter should use for the test. (b) For what values of the t-statistic does the experimenter accept the null hypothesis with a level of significance a = 0.10? (c) Is the null hypothesis accepted or rejected with a = 0.10? (d) Write down an expression for the p-value and estimate it.
Transcribed Image Text:1. A sample of n=13 observations has a sample mean of x= 2.879. If an assumed known standard deviation of o = 0.325 is used, calculate the p-values for the hypothesis testing problems: а. (a) Ho : µ = 3.0 versus HA :µ 3.0. (b) Ho : µ>3.1 versus HA :u< 3.1. %3D b. A food manufacturer claims that at the time of purchase by a consumer the average age of its product is no more than 120 days. In an experiment to test this claim a random sample of 36 items are found to have ages at the time of purchase with a sample mean of x= 122.5 days and a sample standard deviation of s = 13.4 days. (a) Write down the null hypothesis and the alternative hypothesis that the experimenter should use for the test. (b) For what values of the t-statistic does the experimenter accept the null hypothesis with a level of significance a = 0.10? (c) Is the null hypothesis accepted or rejected with a = 0.10? (d) Write down an expression for the p-value and estimate it.
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