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a. At the 0.05 level of significance, is there evidence of a linear relationship between the plate gap of the bag-sealing machine and the tear rating of a bag of coffee? b. Construct a 95% confidence interval estimate of the population slope, B₁.

a. At the 0.05 level of significance, is there evidence of a linear relationship between the plate gap of the bag-sealing machine and the tear rating of a bag of coffee? b. Construct a 95% confidence interval estimate of the population slope, B₁.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A researcher developed a regression model to predict the tear rating of a bag of coffee based on the plate gap in bag-sealing equipment. Data were collected on 28 bags in which the plate gap was varied. An analysis of variance from the regression showed that b₁ = 0.7445 and S₁ = 0.2065. a. At the 0.05 level of significance, is there evidence of a linear relationship between the plate gap of the bag-sealing machine and the tear rating of a bag of coffee? b. Construct a 95% confidence interval estimate of the population slope, ß₁. a. Determine the hypotheses for the test. Choose the correct answer below. A. Ho: Po 20 H: Bo<0 D. Ho: B₁1 20 H₁: B₁ <0 Compute the test statistic. The test statistic is. (Round to two decimal places as needed.) Reach a decision. of coffee. Ho. There is B. Ho: Po ≤0 H: Bo>0 b. The 95% confidence interval is ≤B₁ ≤ (Round to four decimal places as needed.) O E. Ho: P₁ = 0 H₁: B₁ #0 O C. Ho: Po=0 H: Bo #0 OF. Ho: B₁ ≤0 H₁: B₁ >0 evidence at the 0.05 level of significance to conclude that there is a linear relationship between the plate gap of the bag-sealing machine and the tear rating of a bag
Transcribed Image Text:A researcher developed a regression model to predict the tear rating of a bag of coffee based on the plate gap in bag-sealing equipment. Data were collected on 28 bags in which the plate gap was varied. An analysis of variance from the regression showed that b₁ = 0.7445 and S₁ = 0.2065. a. At the 0.05 level of significance, is there evidence of a linear relationship between the plate gap of the bag-sealing machine and the tear rating of a bag of coffee? b. Construct a 95% confidence interval estimate of the population slope, ß₁. a. Determine the hypotheses for the test. Choose the correct answer below. A. Ho: Po 20 H: Bo<0 D. Ho: B₁1 20 H₁: B₁ <0 Compute the test statistic. The test statistic is. (Round to two decimal places as needed.) Reach a decision. of coffee. Ho. There is B. Ho: Po ≤0 H: Bo>0 b. The 95% confidence interval is ≤B₁ ≤ (Round to four decimal places as needed.) O E. Ho: P₁ = 0 H₁: B₁ #0 O C. Ho: Po=0 H: Bo #0 OF. Ho: B₁ ≤0 H₁: B₁ >0 evidence at the 0.05 level of significance to conclude that there is a linear relationship between the plate gap of the bag-sealing machine and the tear rating of a bag
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