Question
In this question, identify which of two online shop designs (labelled Design C and Design D) leads to a higher total purchase among those who
In this question, identify which of two online shop designs (labelled Design C and Design D) leads to a higher total purchase among those who make a purchase.
A random sample of purchases were randomly allocated to be shown either Design C or Design D. The purchase total for the customers who made a purchase are shown in the columns Design C and Design D
LINE DESIGN C. DESIGN D
1 40.1 30.1
2 29.4. 52.7
3 46.1 32.5
4 34.8 35.6
5 31.1 36.1
6 44.3 48.9
7 59.9 45.4
8 40.4 51.6
9 52.6 45.1
10 30.1 43.9
11 31.5 40.7
12 20.5 32.7
13 52.3 45.5
14 44.5 31.8
15 31.7 37.2
16 52 41.7
17 25.5 37
18 35.9 34.7
19 41 33.6
20 44.1 48.8
21 32.8 37.8
22 27.3 27.3
23 38.2 41.8
24 52.3 38.6
25 36.2 48.6
26 43.4 51.4
27 35.9 47.9
28 57.4 31
29 47.7 41.9
30 45.9 42.4
31 24.4 25.9
32 48 19.8
33 51.8 43
34 21.8 35.2
35 53.7 34.7
36 33.1 36.6
37 54.6 45.6
38 32.7 39.4
39 51.4 41
40 21.4 43.8
41 37 43.7
42 42.4 39.4
43 35.5 42
44 51.7 55.9
45 30 41.1
46 34.2 53.4
47 35.9 22.2
48 27 32.7
49 31 33.4
50 30.6 39.1
51 34.1 37.2
52 38.2 47.9
53 47 42.6
54 21.2 36.2
55 32.9 40.3
56 39.7 43.5
57 51.6 33.3
58 31 37.8
59 61.8 37.8
60 59.4 50.4
61 23.1 35.6
62 49.9 42.2
63 56.5 33.5
64 49.6 29.2
65 45.4 41.4
66 11.4 46.8
67 39.8 42.1
68 34.5 35.2
69 45.7 47.1
70 39.4 16.3
71 21.4 39
72 25.4 47
73 39.7 30.9
74 34 32.1
75 43.2 33.8
76 35.7 20.4
77 45.5 46.9
78 33.9 30.7
79 40.6 41.8
80 32.9 51.9
81 23.8 32.3
82 45.4 56.2
83 65.9 27.3
84 44.6 47.8
85 47.6 32.7
86 59 41
87 11.3 40.8
88 48.5 40.2
89 35.9 41.6
90 18.2 31.2
91 38 44.9
92 39.1 27
93 52.2 53.8
94 25.2 37.3
95 46.6 57.5
96 35.8 41.8
97 38.1 41.7
98 41.5 34.3
99 52.4
100 48.8
a)Why should you use an independent samples test for these data? (1 mark)
b)Define the parameters for this test. (2 marks)
c)What are the null and alternative hypotheses for this test? (2 marks)
Carry out the hypothesis test, using a 5% significance level
d)Copy the results from excel into your answer, and report the p value. (2 marks)
e)What are the assumptions of this test?Have they been met? (2 marks)
f)What decision do you make about the null hypothesis? (1 mark)
g)What do you conclude? (2 marks)
h)What improvements can you suggest to this method of investigating the benefits or otherwise of the two shop designs? (2 marks)
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Finite Mathematics
Authors: Stefan Waner, Steven Costenoble
6th Edition
1285415604, 9781285415604
