Suppose we are testing the null hypothesis H0: μ = 16 against the alternative Ha: μ> 16 from a normal population with known standard deviation o=3. A sample of size 324 is taken. We use the usual z statistic as our test statistic. Using the sample, a z value of 2.21 is calculated. (Remember z has a standard normal distribution.) a) What is the p value for this test? b) Would the null value have been rejected if this was a 2% level test? ΟΝ OY c) Would the null value have been rejected if this was a 1% level test? ΟΝ OY
Suppose we are testing the null hypothesis H0: μ = 16 against the alternative Ha: μ> 16 from a normal population with known standard deviation o=3. A sample of size 324 is taken. We use the usual z statistic as our test statistic. Using the sample, a z value of 2.21 is calculated. (Remember z has a standard normal distribution.) a) What is the p value for this test? b) Would the null value have been rejected if this was a 2% level test? ΟΝ OY c) Would the null value have been rejected if this was a 1% level test? ΟΝ OY
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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![Suppose we are testing the null hypothesis H0: μ = 16 against the alternative Ha: μ> 16 from a normal population
with known standard deviation o=3. A sample of size 324 is taken. We use the usual z statistic as our test statistic.
Using the sample, a z value of 2.21 is calculated. (Remember z has a standard normall distribution.)
a) What is the p value for this test?
b) Would the null value have been rejected if this was a 2% level test?
ΟΝ
ΟΥ
c) Would the null value have been rejected if this was a 1% level test?
ΟΝ
ΟΥ
d) What was the value of x calculated from our sample?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c23f55b-ca3e-4386-99c2-b132fad7e07c%2Fe6097e19-b8a5-4403-abfa-10322e6ed728%2Fn51kl8s_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose we are testing the null hypothesis H0: μ = 16 against the alternative Ha: μ> 16 from a normal population
with known standard deviation o=3. A sample of size 324 is taken. We use the usual z statistic as our test statistic.
Using the sample, a z value of 2.21 is calculated. (Remember z has a standard normall distribution.)
a) What is the p value for this test?
b) Would the null value have been rejected if this was a 2% level test?
ΟΝ
ΟΥ
c) Would the null value have been rejected if this was a 1% level test?
ΟΝ
ΟΥ
d) What was the value of x calculated from our sample?
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