Question

Executives at The Walt Disney Company are interested in estimating the mean spending per capita for people who visit Disney World in Orlando, Florida. They plan to use the Z-distribution but they know it requires that the population be normally distributed. Six hundred customers were randomly surveyed, and the amount spent during their stay at Disney World was recorded.  Before using the sample data to estimate the population mean, the managers wish to test at the .05 significance level to determine whether the population is normally distributed.

a. State the null and alternate hypotheses

b. Organize the data into 10 classes and form a frequency table (chapter 2). Calculate the expected frequencies.

c. Compute the value of the test statistic

d. Compute the p value

e. What is your decision regarding the null hypothesis? Interpret the result.

Amount Spent at Disney World
$128
$138
$106
$78
$149
$107
$152
$102
$128
$153
$153
$145
$122
$163
$123
$106
$111
$136
$136
$90
$91
$121
$114
$129
$171
$78
$149
$103
$111
$126
$154
$54
$78
$115
$75
$98
$117
$118
$102
$147
$139
$91
$113
$68
$158
$61
$100
$69
$161
$160
$87
$192
$136
$130
$88
$131
$182
$120
$52
$73
$92
$102
$114
$183
$186
$137
$126
$115
$108
$144
$142
$110
$100
$156
$95
$97
$85
$146
$120
$167
$82
$181
$72
$50
$126
$137
$182
$101
$107
$115
$158
$153
$124
$136
$92
$113
$104
$124
$87
$120
$108
$156
$122
$93
$168
$113
$105
$101
$113
$126
$144
$162
$130
$92
$143
$111
$121
$166
$134
$103
$170
$126
$143
$118
$123
$86
$119
$110
$169
$125
$95
$51
$62
$112
$156
$130
$127
$50
$104
$147
$185
$131
$114
$85
$106
$112
$86
$94
$168
$111
$81
$147
$132
$101
$119
$117
$146
$152
$139
$88
$129
$148
$145
$96
$116
$80
$169
$119
$190
$115
$84
$101
$133
$104
$141
$57
$89
$67
$97
$82
$127
$109
$140
$95
$135
$109
$90
$88
$164
$96
$86
$99
$119
$173
$100
$107
$126
$127
$143
$143
$114
$116
$78
$151
$96
$170
$165
$97
$94
$156
$133
$129
$114
$82
$97
$87
$104
$101
$145
$124
$163
$128
$141
$124
$169
$80
$110
$104
$162
$141
$113
$142
$87
$93
$177
$121
$157
$159
$58
$150
$140
$112
$115
$86
$133
$148
$178
$120
$167
$171
$158
$129
$107
$113
$136
$96
$91
$172
$107
$144
$120
$105
$138
$75
$60
$105
$160
$82
$126
$127
$56
$79
$99
$124
$175
$130
$105
$152
$98
$126
$88
$144
$101
$67
$92
$84
$166
$128
$148
$137
$138
$100
$101
$83
$121
$117
$135
$81
$118
$80
$37
$122
$145
$119
$102
$154
$170
$79
$61
$121
$110
$151
$137
$151
$99
$88
$106
$84
$97
$116
$153
$94
$123
$60
$129
$188
$118
$94
$78
$99
$134
$149
$99
$92
$97
$183
$126
$102
$128
$77
$62
$96
$120
$77
$124
$128
$117
$97
$112
$171
$111
$138
$126
$130
$95
$71
$136
$141
$99
$128
$82
$82
$160
$115
$108
$66
$58
$122
$80
$111
$128
$72
$102
$103
$136
$104
$139
$93
$71
$102
$129
$84
$82
$133
$121
$156
$118
$93
$102
$113
$104
$116
$166
$115
$156
$150
$154
$126
$135
$132
$145
$101
$174
$96
$115
$96
$173
$167
$117
$84
$112
$84
$164
$94
$159
$152
$101
$97
$130
$80
$146
$161
$83
$134
$150
$131
$148
$132
$54
$120
$159
$66
$213
$120
$61
$126
$142
$113
$76
$121
$87
$120
$120
$99
$143
$143
$100
$75
$129
$126
$100
$81
$107
$89
$175
$125
$104
$128
$107
$110
$127
$109
$47
$121
$177
$101
$128
$192
$91
$112
$154
$71
$100
$77
$130
$75
$116
$118
$125
$110
$123
$108
$109
$109
$132
$93
$78
$133
$179
$138
$114
$99
$100
$144
$103
$117
$100
$97
$72
$152
$95
$135
$73
$128
$122
$168
$119
$131
$149
$51
$90
$98
$87
$118
$114
$160
$92
$74
$129
$147
$120
$184
$120
$100
$89
$115
$84
$107
$127
$124
$157
$128
$87
$150
$92
$141
$147
$146
$93
$196
$110
$171
$92
$102
$130
$113
$101
$109
$170
$144
$131
$82
$175
$140
$110
$96
$84
$77
$122
$49
$147
$75
$94
$110
$149
$111
$143
$95
$82
$34
$98
$132
$105
$77
$138
$115
$117
$93
$86
$106
$130
$121
$86
$161
$103
$89
$102
$137
$132
$107
$132
$114
$156
$167
$114
$72
$150
$69
$100
$53

Answer 1

Class-Interval	Frequency	Expected Frequency
34-51	8	0.01
52-69	22	0.04
70-87	71	0.12
88-105	122	0.20
106-123	130	0.22
124-141	111	0.19
142-159	76	0.13
160-177	44	0.07
178-195	14	0.02
196-213	2	0.00