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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 =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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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 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.
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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