Suppose we are testing the null hypothesis H0: μ = 16 against the alternative Ha: μ< 16 from a normal population with known standard deviation =4. A sample of size 289 is taken. We use the usual z statistic as our test statistic. Using the sample, a z value of -2.24 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? OY ON c) Would the null value have been rejected if this was a 1% level test? ON OY d) What was the value of x calculated from our sample?
Suppose we are testing the null hypothesis H0: μ = 16 against the alternative Ha: μ< 16 from a normal population with known standard deviation =4. A sample of size 289 is taken. We use the usual z statistic as our test statistic. Using the sample, a z value of -2.24 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? OY ON c) Would the null value have been rejected if this was a 1% level test? ON OY d) What was the value of x calculated from our sample?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 0-4. A sample of size 289 is taken. We use the usual z statistic as our test
statistic. Using the sample, a z value of -2.24 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?
ΟΥ
ΟΝ
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?
e) Copy your R script for the above into the text box here.
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