Sloan replicated the same survey in a different Kiloton store and asked another 10 customers to rate the bicycle. This store is in a different city and, therefore, you can assume independence between these two samples. Both sets of ratings are shown in table 3.1. Table 3.1: Ratings of 10 customers from the first and the second store Customer Rating (Store 1) Rating (Store 2) 1 44 61 95 33 66 22 4 91 51 5 34 36 6 29 31 7 75 45 8 94 64 33 64 10 85 46 The mean of the ratings in the second store is 45.3 and standard deviation is 14.773. Conduct a t test for the difference in the mean rating between the two stores at the 5% significance level. Work through the test using the 5 steps. Clearly show all steps of your calculations, with clear justification where necessary, and include any formulas used. Round the number at each step to 3dp. Don't forget to use plain English in addition to the statistical terminology as well as clearly stating which test you are performing. 2. 00

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Sloan replicated the same survey in a different Kiloton store and asked another 10 customers to rate
the bicycle. This store is in a different city and, therefore, you can assume independence between
these two samples. Both sets of ratings are shown in table 3.1.
Table 3.1: Ratings of 10 customers from the first and the second store
Customer
Rating (Store 1)
Rating (Store 2)
44
61
2
95
33
66
22
91
51
5
34
36
6.
29
31
7
75
45
8.
94
64
33
64
10
85
46
The mean of the ratings in the second store is 45.3 and standard deviation is 14.773.
Conduct a t test for the difference in the mean rating between the two stores at the 5% significance
level. Work through the test using the 5 steps. Clearly show all steps of your calculations, with clear
justification where necessary, and include any formulas used. Round the number at each step to 3dp.
Don't forget to use plain English in addition to the statistical terminology as well as clearly stating
which test you are performing.
Transcribed Image Text:Sloan replicated the same survey in a different Kiloton store and asked another 10 customers to rate the bicycle. This store is in a different city and, therefore, you can assume independence between these two samples. Both sets of ratings are shown in table 3.1. Table 3.1: Ratings of 10 customers from the first and the second store Customer Rating (Store 1) Rating (Store 2) 44 61 2 95 33 66 22 91 51 5 34 36 6. 29 31 7 75 45 8. 94 64 33 64 10 85 46 The mean of the ratings in the second store is 45.3 and standard deviation is 14.773. Conduct a t test for the difference in the mean rating between the two stores at the 5% significance level. Work through the test using the 5 steps. Clearly show all steps of your calculations, with clear justification where necessary, and include any formulas used. Round the number at each step to 3dp. Don't forget to use plain English in addition to the statistical terminology as well as clearly stating which test you are performing.
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