For each of the following scenarios, determine whether the sample size is large
ID: 3173445 • Letter: F
Question
For each of the following scenarios, determine whether the sample size is large enough to run a hypothesis test based on the normal distribution. H_o: p = .92, n = 80 H_o: p_1 = p_2 middot p_1 = .91.p_2 = .87.n_1 = 120, n_2 = 80 A local car dealership is interested in determining how successful their salespeople are in turning a profit when selling a car. Specifically, they are interested in the average percentage of the price markup earned on each car sale. The following table contains the percentages for a random sample of car sales by two of the dealer's salespeople. Perform a Wilcoxon Rank Sum test to determine if the median markup percentage earned by Ira is less than the median markup percentage earned by Kelly. Use a 1% significance level.Explanation / Answer
Result:
No.
Label
Data
Rank
1
Ira
23.2
2
2
Ira
26.4
3.5
3
Ira
27.3
5
4
Ira
34.1
7
5
Ira
40.7
9
6
Ira
31.6
6
7
Ira
43.8
12
8
Kelly
52.3
14
9
Kelly
50
13
10
Kelly
53.4
15
11
Kelly
37.9
8
12
Kelly
26.4
3.5
13
Kelly
41.1
10
14
Kelly
19.2
1
15
Kelly
41.2
11
Wilcoxon - Mann/Whitney Test
n
sum of ranks
7
44.5
Ira
8
75.5
Kelly
15
120
total
expected value
56.000
standard deviation
8.641
z
-1.331
P value
.0916
Calculated test value z = -1.331 which is > -2.33 which is critical value at 1% level.
Ho is not rejected.
There is not enough evidence to support median makeup percentage earned by Ira is less than the median markup percentage earned by Kelly.
No.
Label
Data
Rank
1
Ira
23.2
2
2
Ira
26.4
3.5
3
Ira
27.3
5
4
Ira
34.1
7
5
Ira
40.7
9
6
Ira
31.6
6
7
Ira
43.8
12
8
Kelly
52.3
14
9
Kelly
50
13
10
Kelly
53.4
15
11
Kelly
37.9
8
12
Kelly
26.4
3.5
13
Kelly
41.1
10
14
Kelly
19.2
1
15
Kelly
41.2
11
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