To test Ho: σ = 2.1 versus H₁: 0>2.1, a random sample of size n = 16 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s = 2.9, compute the test statistic. (b) If the researcher decides to test this hypothesis at the a=0.05 level of significance, use technology to determine the P-value. (c) Will the researcher reject the null hypothesis? (a) The test statistic is x = ☐ (Round to two decimal places as needed.) (b) The P-value is (Round to three decimal places as needed.) (c) Since the P-value is than the level of significance, the researcher reject the null hypothesis Ho: a 2.1.

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
Question
To test Ho: σ = 2.1 versus H₁: 0>2.1, a random sample of size n = 16 is obtained from a population that is known to be normally distributed.
(a) If the sample standard deviation is determined to be s = 2.9, compute the test statistic.
(b) If the researcher decides to test this hypothesis at the a=0.05 level of significance, use technology to determine the P-value.
(c) Will the researcher reject the null hypothesis?
(a) The test statistic is x = ☐
(Round to two decimal places as needed.)
(b) The P-value is
(Round to three decimal places as needed.)
(c) Since the P-value is
than the level of significance, the researcher
reject the null hypothesis Ho: a 2.1.
Transcribed Image Text:To test Ho: σ = 2.1 versus H₁: 0>2.1, a random sample of size n = 16 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s = 2.9, compute the test statistic. (b) If the researcher decides to test this hypothesis at the a=0.05 level of significance, use technology to determine the P-value. (c) Will the researcher reject the null hypothesis? (a) The test statistic is x = ☐ (Round to two decimal places as needed.) (b) The P-value is (Round to three decimal places as needed.) (c) Since the P-value is than the level of significance, the researcher reject the null hypothesis Ho: a 2.1.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,