In a hypothesis test with hypotheses Ho : H2 74 and H : H<74, a random sample of 20 elements selected from the population produced a mean of 68.2 and a standard deviation of 13.8. The significance level is 1%. Assume the population is normaly distributed. What is the critical value of t? -2.861 -2.539 -2.528 O -2.33 What is the value of the test statistic, t, rounded to three decimal places? What is the p-value for this hypothesis test, rounded to four decimal places? Should you reject or fail to reject the null hypothesis in this test?
In a hypothesis test with hypotheses Ho : H2 74 and H : H<74, a random sample of 20 elements selected from the population produced a mean of 68.2 and a standard deviation of 13.8. The significance level is 1%. Assume the population is normaly distributed. What is the critical value of t? -2.861 -2.539 -2.528 O -2.33 What is the value of the test statistic, t, rounded to three decimal places? What is the p-value for this hypothesis test, rounded to four decimal places? Should you reject or fail to reject the null hypothesis in this test?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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![In a hypothesis test with hypotheses Ho : H2 74 and H : H<74, a random sample of 20 elements selected from the population produced a mean of 68.2 and a standard deviation of 13.8. The significance level is 1%.
Assume the population is normaly distributed.
What is the critical value of t?
-2.861
-2.539
-2.528
O -2.33
What is the value of the test statistic, t, rounded to three decimal places?
What is the p-value for this hypothesis test, rounded to four decimal places?
Should you reject or fail to reject the null hypothesis in this test?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d5a4547-4823-4eb3-af3e-484fe67e325d%2F0a1c21c2-5428-4705-88bb-3b206d0ea0e1%2F61uemvh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In a hypothesis test with hypotheses Ho : H2 74 and H : H<74, a random sample of 20 elements selected from the population produced a mean of 68.2 and a standard deviation of 13.8. The significance level is 1%.
Assume the population is normaly distributed.
What is the critical value of t?
-2.861
-2.539
-2.528
O -2.33
What is the value of the test statistic, t, rounded to three decimal places?
What is the p-value for this hypothesis test, rounded to four decimal places?
Should you reject or fail to reject the null hypothesis in this test?
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