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A simple random sample of size n=40 is drawn from a population. The sample mean is found to be 107.6​, and the sample standard deviation is found to be 20.2. Is the population mean greater than 100 at the α=0.025 level of​ significance? Determine the null and alternative hypotheses.   H0​: mu equals 100μ=100 mu less than 100μ<100 mu equals 100μ=100 mu greater than 100μ>100 mu less than 107.6μ<107.6 mu equals 107.6μ=107.6 mu greater than 107.6μ>107.6 H1​: mu greater than 100μ>100 mu less than 100μ<100 mu equals 100μ=100 mu greater than 100μ>100 mu less than 107.6μ<107.6 mu equals 107.6μ=107.6 mu greater than 107.6μ>107.6 Compute the test statistic.   t 0t0 t 0t0 z 0z0 =   ​(Round to two decimal places as​ needed.) Determine the​ P-value.   The​ P-value is   . ​(Round to three decimal places as​ needed.) What is the result of the hypothesis​ test?       the null hypothesis because the​ P-value is     the level of significance. At the α=0.025 level of​ significance, the population mean

A simple random sample of size n=40 is drawn from a population. The sample mean is found to be 107.6​, and the sample standard deviation is found to be 20.2. Is the population mean greater than 100 at the α=0.025 level of​ significance? Determine the null and alternative hypotheses.   H0​: mu equals 100μ=100 mu less than 100μ<100 mu equals 100μ=100 mu greater than 100μ>100 mu less than 107.6μ<107.6 mu equals 107.6μ=107.6 mu greater than 107.6μ>107.6 H1​: mu greater than 100μ>100 mu less than 100μ<100 mu equals 100μ=100 mu greater than 100μ>100 mu less than 107.6μ<107.6 mu equals 107.6μ=107.6 mu greater than 107.6μ>107.6 Compute the test statistic.   t 0t0 t 0t0 z 0z0 =   ​(Round to two decimal places as​ needed.) Determine the​ P-value.   The​ P-value is   . ​(Round to three decimal places as​ needed.) What is the result of the hypothesis​ test?       the null hypothesis because the​ P-value is     the level of significance. At the α=0.025 level of​ significance, the population mean

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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100%
A simple random sample of size
n=40
is drawn from a population. The sample mean is found to be
107.6​,
and the sample standard deviation is found to be
20.2.
Is the population mean greater than
100
at the
α=0.025
level of​ significance?
Determine the null and alternative hypotheses.
 
H0​:
mu equals 100μ=100
mu less than 100μ<100
mu equals 100μ=100
mu greater than 100μ>100
mu less than 107.6μ<107.6
mu equals 107.6μ=107.6
mu greater than 107.6μ>107.6
H1​:
mu greater than 100μ>100
mu less than 100μ<100
mu equals 100μ=100
mu greater than 100μ>100
mu less than 107.6μ<107.6
mu equals 107.6μ=107.6
mu greater than 107.6μ>107.6
Compute the test statistic.
 
t 0t0
t 0t0
z 0z0
=
 
​(Round to two decimal places as​ needed.)
Determine the​ P-value.
 
The​ P-value is
 
.
​(Round to three decimal places as​ needed.)
What is the result of the hypothesis​ test?
 
   
the null hypothesis because the​ P-value is
   
the level of significance. At the
α=0.025
level of​ significance, the population mean
   
   
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