The researchers are concerned that the dollars spent per shopper examined in the study is too different from what has been found in other studies. They expected to see an average spending of 84.5 dollars. Based on our data, is there evidence that the true mean spending for the population is significantly different than the expected average of 84.5 at a 5% significance level? Once again, assume the population standard deviation is 16. a) Perform a hypothesis test BY HAND, completing all the following steps. i. State your hypotheses. iiCalculate the test statistic BY HAND. Round to 2 decimal places and show your work. iii. Give the probability statement for the test statistic and the p-value. Round to 4 decimal places and show your work. b) Draw your conclusions from the test. c) Based on part b), decide whether the researchers' concerns are warranted. In other words, is there a reason to believe that the dollars spent per visit to the mall is different than previously expected?65.51
82.75
69.47
95.71
76.53
67.27
77.3
77.21
66.44
41.97
74.25
93.66
42.68
81.66
73.51
64.1
77.04
102.3
109.06
63.58
98.99
86.7
53.3
90.16
54.09
84.18
88.94
77.88
75.67
74.3
68.3
45.77
44.67
130.84
79.74
81.56
80.12
73.07
85.07
81.45
51.41
67.5
79.27
103.48
37.52
99.72
55.1
88.31
74.23
96.82
61.06
65.92
71.83
62.98
61.04
105.58
75.93
101.92
103.68
90.25
105.94
109.36
76.78
116.37
106.04
60.1
85.64
80.28
71.54
65.76
96.39
91.49
101.92
99.79
86.52
50.82
90.6
84.61
102.25
111.32
52.15
100.33
71.9
89.94
109.53
51.09
101.86
100.82
81.36
74.32
50.45
103.48
49.03
100.68
83.56
109
95.9
76.36
118.13
87.75
120.54
111.93
38.6
76.5
72.12
87.44
85.91
57.4
94.8
50.01
82.3
78.14
75.61
75.32
71.32
103.65
89.97
90.79
86.29
61.31
n=120