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You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 18, you determine that b₁ = 4.3 and Sp, 1.4. a. What is the value of tSTAT? b. At the α = 0.05 level of significance, what are the critical values? c. Based on your answers to (a) and (b), what statistical decision should you make?

You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 18, you determine that b₁ = 4.3 and Sp, 1.4. a. What is the value of tSTAT? b. At the α = 0.05 level of significance, what are the critical values? c. Based on your answers to (a) and (b), what statistical decision should you make?

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.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 18, you determine that b₁ = 4.3 and Sp₁ = 1.4. a. What is the value of tSTAT? b. At the α = 0.05 level of significance, what are the critical values? c. Based on your answers to (a) and (b), what statistical decision should you make? d. Construct a 95% confidence interval estimate of the population slope, B₁. a. What are the hypotheses to test? A. H₂: B₁ = 0 H₁: B₁ #0 O C. Ho: B₁ 20 H₁: B₁ <0 *STAT = 3.07 (Round to two decimal places as needed.) b. The lower critical value is The upper critical value is (Round to four decimal places as needed.) C OB. Ho: B₁ ≤0 H₁: B₁>0 O D. Ho: B₁ #0 H₁: B₁0
Transcribed Image Text:You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 18, you determine that b₁ = 4.3 and Sp₁ = 1.4. a. What is the value of tSTAT? b. At the α = 0.05 level of significance, what are the critical values? c. Based on your answers to (a) and (b), what statistical decision should you make? d. Construct a 95% confidence interval estimate of the population slope, B₁. a. What are the hypotheses to test? A. H₂: B₁ = 0 H₁: B₁ #0 O C. Ho: B₁ 20 H₁: B₁ <0 *STAT = 3.07 (Round to two decimal places as needed.) b. The lower critical value is The upper critical value is (Round to four decimal places as needed.) C OB. Ho: B₁ ≤0 H₁: B₁>0 O D. Ho: B₁ #0 H₁: B₁0
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