You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ=87.7Ho:μ=87.7 Ha:μ>87.7Ha:μ>87.7You believe the population is normally distributed. You obtain a sample mean of 92.5 and a sample standard deviation of 15.8 for a sample of size 69.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is...less than (or equal to) ααgreater than ααThis test statistic leads to a decision to...reject the null hypothesisfail to reject the null hypothesisAs such, the final conclusion is that...a) There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 87.7.b)There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 87.7.c)The sample data support the claim that the population mean is greater than 87.7.d)There is not sufficient sample evidence to support the claim that the population mean is greater than 87.7.

Name: You wish to test the following claim (HaHa) at a significance level of
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Description: You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ=87.7Ho:μ=87.7 Ha:μ>87.7Ha:μ>87.7You believe the population is normally distributed. You obtain a sample mean of 92.5 and a sample standard deviation o

Given x¯=92.5s=15.8n=69α=0.01

Answered: You wish to test the following claim…

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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You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01.

Ho:μ=87.7Ho:μ=87.7
Ha:μ>87.7Ha:μ>87.7

You believe the population is normally distributed. You obtain a sample mean of 92.5 and a sample standard deviation of 15.8 for a sample of size 69.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

The p-value is...

less than (or equal to) αα
greater than αα

This test statistic leads to a decision to...

reject the null hypothesis
fail to reject the null hypothesis

As such, the final conclusion is that...

a) There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 87.7.

b)There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 87.7.

c)The sample data support the claim that the population mean is greater than 87.7.

d)There is not sufficient sample evidence to support the claim that the population mean is greater than 87.7.

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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