Bayus (1991) studied the average numbers of auto dealers visited by early and la

Question

Bayus (1991) studied the average numbers of auto dealers visited by early and late replacement buyers. Letting u be the average number of dealers visited by all late replacement buyers, set up the null and alternative hypotheses needed f we wish to attem t o provide evidence hat differsfrom 4 dealers A ran m sampeor co ate replace ent buyers y elds an ain ea as andard deviation of the number of dealers visited of = 4.57 and S = 52. Using a critical value and assuming approximate normality to test the hypotheses you set up by setting a equal to 0.10, 0.05, 0.01, and 0 001 . Are we able to conclude that ts different than 4? (Round your answers to 3 decimal places ) Ho : (Clicktoselect, 4 versus Ha : (Clickto select) 4. ta/2 -te.es ta/2 te.ees a/2te.ees There is(Click to select) evidence that is (Click to select). 4 References Leaming population mean wher ojectve 0s-04 se cnucal values and p-values to Perom a ttest about a Worksheet

Explanation / Answer

Solution:

Given that x = 4.57, s = 0.52, n = 100  
Test Hypothesis:
H0: = 4 versus Ha: 4.
Test statistic:
t = (x - )/(s/n) = (4.57- 4)/(0.52/100)
= 10.962
t/2 = t0.05 = 1.66
t0.025 = 1.984
t0.005 = 2.626
t0.0005 = 3.392
Decision:
Since t > t, we reject null hypothesis
Conclusion:
There is extremelyy strong evidence that is greater than 4

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