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To test Ho: μ = 40 versus H₁: μ<40, a random sample of size n = 24 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. Click here to view the t-Distribution Area in Right Tail. (a) If x=37.3 and s= 11.6, compute the test statistic. to = 1.140 (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the x = 0.05 level of significance, determine the critical value(s). Although technology or a t-distribution table can be used to find the critical value, in this problem use the t-distribution table given. Critical Value: (Round to three decimal places. Use a comma to separate answers as needed.)

To test Ho: μ = 40 versus H₁: μ<40, a random sample of size n = 24 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. Click here to view the t-Distribution Area in Right Tail. (a) If x=37.3 and s= 11.6, compute the test statistic. to = 1.140 (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the x = 0.05 level of significance, determine the critical value(s). Although technology or a t-distribution table can be used to find the critical value, in this problem use the t-distribution table given. Critical Value: (Round to three decimal places. Use a comma to separate answers as needed.)

Calculus For The Life Sciences
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
Section13.3: Special Probability Density Functions
Problem 9E
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To test Ho: μ = 40 versus H₁: μ<40, a random sample of size n = 24 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. Click here to view the t-Distribution Area in Right Tail. ..... (a) If x=37.3 and s = 11.6, compute the test statistic. to = -1.140 (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a=0.05 level of significance, determine the critical value(s). Although technology or a t-distribution table can be used to find the critical value, in this problem use the t-distribution table given. Critical Value: (Round to three decimal places. Use a comma to separate answers as needed.)
Transcribed Image Text:To test Ho: μ = 40 versus H₁: μ<40, a random sample of size n = 24 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. Click here to view the t-Distribution Area in Right Tail. ..... (a) If x=37.3 and s = 11.6, compute the test statistic. to = -1.140 (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a=0.05 level of significance, determine the critical value(s). Although technology or a t-distribution table can be used to find the critical value, in this problem use the t-distribution table given. Critical Value: (Round to three decimal places. Use a comma to separate answers as needed.)
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