In a hypothesis test with hypotheses Ho : H = 90 and H1 : H # 90, a random sample of 16 elements selected from the population produced a mean of 85.9 and a standard deviation of 6.6. The test is to be made at the 10% significance level. Assume the population is normally distributed. What are the critical values of t? -1.645 and 1.645 -1.753 and 1.753 -1.341 and 1.341 -1.746 and 1.746 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? LINK TO TEXT

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 : H = 90 and H1 : H # 90, a random sample of 16 elements selected from the
population produced a mean of 85.9 and a standard deviation of 6.6. The test is to be made at the 10% significance
level. Assume the population is normally distributed.
What are the critical values of t?
-1.645 and 1.645
-1.753 and 1.753
-1.341 and 1.341
-1.746 and 1.746
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?
LINK TO TEXT
Transcribed Image Text:In a hypothesis test with hypotheses Ho : H = 90 and H1 : H # 90, a random sample of 16 elements selected from the population produced a mean of 85.9 and a standard deviation of 6.6. The test is to be made at the 10% significance level. Assume the population is normally distributed. What are the critical values of t? -1.645 and 1.645 -1.753 and 1.753 -1.341 and 1.341 -1.746 and 1.746 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? LINK TO TEXT
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Calculus For The Life Sciences
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,