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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
A simple random sample of size
mean is found to be
n=40
is drawn from a population. The sample 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
Determine the P-value.
The P-value is
.
(Round to three decimal places as needed.)
What is the result of the hypothesis test?
α=0.025
level of significance, the population mean
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