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A Manager at a Local Bank Analyzed the Relationship Between

Question 13

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A manager at a local bank analyzed the relationship between monthly salary (y, in $) and length of service (x, measured in months) for 30 employees. She estimates the following model: Salary = β0 + β1Service + ε. The following table summarizes a portion of the regression results. A manager at a local bank analyzed the relationship between monthly salary (y, in $)  and length of service (x, measured in months)  for 30 employees. She estimates the following model: Salary = β<sub>0</sub> + β<sub>1</sub>Service + ε. The following table summarizes a portion of the regression results.   Using the 95% confidence interval, what is the conclusion to the following hypothesis test: H<sub>0</sub>: b<sub>1</sub> = 0; H<sub>A</sub>: b<sub>1</sub> ≠ 0? A)  At the 5% significance level, reject H<sub>0</sub> and conclude that service is significant. B)  At the 5% significance level, do not reject H<sub>0</sub> and conclude that service is significant. C)  At the 5% significance level, reject H<sub>0</sub> and cannot conclude that service is significant. D)  At the 5% significance level, do not reject H<sub>0</sub> and cannot conclude that service is significant. Using the 95% confidence interval, what is the conclusion to the following hypothesis test: H0: b1 = 0; HA: b1 ≠ 0?


A) At the 5% significance level, reject H0 and conclude that service is significant.
B) At the 5% significance level, do not reject H0 and conclude that service is significant.
C) At the 5% significance level, reject H0 and cannot conclude that service is significant.
D) At the 5% significance level, do not reject H0 and cannot conclude that service is significant.

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