You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ=85.7Ho:μ=85.7 Ha:μ<85.7Ha:μ<85.7You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:data81.587.981.182.168.367.295.190.382.380.186.9What is the critical value for this test? (Report answer accurate to three decimal places.)critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = The test statistic is...in the critical regionnot in the critical regionThis test statistic leads to a decision to...reject the null hypothesisaccept the null hypothesisfail to reject the null hypothesisAs such, the final conclusion is that...There is enough evidence to show that the population mean is not less than 85.7.There is not enough evidence to show that the population mean is not less than 85.7.There is enough evidence to show that the population mean is less than 85.7.There is not enough evidence to show that the population mean is less than 85.7.

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=85.7Ho:μ=85.7 Ha:μ<85.7Ha:μ<85.7You believe the population is normally distributed, but you do not know the standard deviation. You obtain the followi

The value of sample mean and standard deviation are,

Answered: ou 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=85.7Ho:μ=85.7
Ha:μ<85.7Ha:μ<85.7

You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:

data
81.5
87.9
81.1
82.1
68.3
67.2
95.1
90.3
82.3
80.1
86.9

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

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

The test statistic is...

in the critical region
not in the critical region

This test statistic leads to a decision to...

reject the null hypothesis
accept the null hypothesis
fail to reject the null hypothesis

As such, the final conclusion is that...

There is enough evidence to show that the population mean is not less than 85.7.
There is not enough evidence to show that the population mean is not less than 85.7.
There is enough evidence to show that the population mean is less than 85.7.
There is not enough evidence to show that the population mean is less than 85.7.

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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