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A data set of 5 observations for \"Concession Sales per person at a theater\" an

ID: 3060529 • Letter: A

Question

A data set of 5 observations for "Concession Sales per person at a theater" and "Minutes before the movie begins" results in the estimated regression mode "Sales= 4.4 + 0.267 minutes". The standard error of the regression slope is 0.0452. Complete parts a through d below.

a) Compute the value of the t-statistic to test if there is a significant relationship between Sales and Minutes.

b) What are the degrees of freedom associated with the t-statistic?

c) What is the P-value associated with the t-statistic?

d) At a=0.05, can you reject the standard null hypothesis for the slope?

Explanation / Answer

a) t - statistic = 0.267 / 0.0452 = 5.907

b) Degrees of freedom = n - 2 = 5 - 2 = 3

c) P - value = 2*P(t > 5.907) = 0.0096

d) Since p - value is less than 0.05, we reject the null hypothesis.

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