#5) A car dealership in a suburb of Minneapolis wants to determine if there is a

Question

#5) A car dealership in a suburb of Minneapolis wants to determine if there is a pattern in how many new cars are sold during the different months of the spring and summer season. The number of car sales (by month) are shown below for 2014 March, 16 cars were sold April, 22 cars May, 18 cars June, 17 cars July, 29 cars August, 24 cars At a .10, is there enough evidence to reject the hypothesis that car sales are equally distributed throughout the spring and summer months? Show all work. Explain what your answer tells you.

Explanation / Answer

H0: The car sales are equally distribed throughout the spring and summer months

H1: The car sales are not equally distribed throughout the spring and summer months

Let the los be alpha 0.10

The expected frequencies is calculated as (Sum of observed frequencies) / 6 = 126 / 6 = 21

Num Categories: 6
Degrees of freedom: 5
Expected Freq: 21

Test Statistic, X^2: 5.9048
Critical X^2: 9.236366
P-Value: 0.3156

Here chisquare value < chisquare critical value and P-value > alpha 0.10 so we accept H0

Thus we conclude that  the car sales are equally distribed throughout the spring and summer months

Observed Expected Month Freq (Oi) Freq Ei (Oi-Ei)^2 /Ei March 16 21 1.19047619 April 22 21 0.047619048 May 18 21 0.428571429 June 17 21 0.761904762 July 29 21 3.047619048 August 24 21 0.428571429 Total: 126 126 5.904761905

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