You are a sales manager for a large vending machine company, and you are experimenting with introducing a new ice cream vending machine at a local beach. You want to investigate the sales of the vending machine based on the temperature. Using 21 days of historical data, you create the regression model = 13.2 +2.29 *x, with a SE(b₁) of 1.22, where x is the average daily temperature, and ŷ is the estimated unit demand. y ŷ Using this information, create a confidence interval around the regression slope, with a 95% confidence level, and select the correct interpterion of your analysis with respect to the test below: Ho: B₁ = 0 HA: B₁0

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You are a sales manager for a large vending machine company, and you are
experimenting with introducing a new ice cream vending machine at a local
beach. You want to investigate the sales of the vending machine based on the
temperature. Using 21 days of historical data, you create the regression model
ŷ = 13.2 + 2.29 *x, with a SE(b1) of 1.22, where is the average
daily temperature, and is the estimated unit demand.
Using this information, create a confidence interval around the regression
slope, with a 95% confidence level, and select the correct interpterion of your
analysis with respect to the test below:
Ho: B₁ = 0
HA: 0₁ 0
Transcribed Image Text:You are a sales manager for a large vending machine company, and you are experimenting with introducing a new ice cream vending machine at a local beach. You want to investigate the sales of the vending machine based on the temperature. Using 21 days of historical data, you create the regression model ŷ = 13.2 + 2.29 *x, with a SE(b1) of 1.22, where is the average daily temperature, and is the estimated unit demand. Using this information, create a confidence interval around the regression slope, with a 95% confidence level, and select the correct interpterion of your analysis with respect to the test below: Ho: B₁ = 0 HA: 0₁ 0
We reject the null hypothesis, since all values in the confidence interval
around the regression slope are strictly greater than zero.
We fail to reject the null hypothesis since the upper and lower limits of the
confidence interval around the regression slope are greater than the
standard error of the analysis.
We fail to reject the null hypothesis since the confidence interval contains
zero.
We reject the null hypothesis, since the confidence interval around the
regression slope is strictly less than 0.
We fail to reject the null hypothesis, since the margin of error is less than
the regression slope.
Transcribed Image Text:We reject the null hypothesis, since all values in the confidence interval around the regression slope are strictly greater than zero. We fail to reject the null hypothesis since the upper and lower limits of the confidence interval around the regression slope are greater than the standard error of the analysis. We fail to reject the null hypothesis since the confidence interval contains zero. We reject the null hypothesis, since the confidence interval around the regression slope is strictly less than 0. We fail to reject the null hypothesis, since the margin of error is less than the regression slope.
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