t stat ] 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 30 bags in which the plate gap was varied. An analysis of variance from the regression showed that b1=0.7778 and Sb1=0.2411. 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, β1. a. Determine the hypotheses for the test. Choose the correct answer below. A. H0​: β1≤0 H1​: β1>0 B. H0​: β1≥0 H1​: β1<0 C. H0​: β0≤0 H1​: β0>0 Your answer is not correct. D. H0​: β0=0 H1​: β0≠0 E. H0​: β1=0 H1​: β1≠0 This is the correct answer. F. H0​: β0≥0 H1​: β0<0 Compute the test statistic. The test statistic is enter your response here. ​(Round to two decimal places as​ needed.)

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Author:Amos Gilat
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t stat ]

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
30
bags in which the plate gap was varied. An analysis of variance from the regression showed that
b1=0.7778
and
Sb1=0.2411.
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,
β1.
 
 
 
a. Determine the hypotheses for the test. Choose the correct answer below.
 
 
A.
H0​:
β1≤0
H1​:
β1>0
 
B.
H0​:
β1≥0
H1​:
β1<0
 
C.
H0​:
β0≤0
H1​:
β0>0
Your answer is not correct.
 
D.
H0​:
β0=0
H1​:
β0≠0
 
E.
H0​:
β1=0
H1​:
β1≠0
This is the correct answer.
 
F.
H0​:
β0≥0
H1​:
β0<0
Compute the test statistic.
 
The test statistic is
enter your response here.
​(Round to two decimal places as​ needed.)
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