Question

May
62
58
35
95
102
149
80
229
69
227
202
138
201
72
135
274
99
117
146
146
89
167
141
251
145
189
156
229
214
113
204
188
330
250
170
183
174
127
133
232
244
336
138
178
162

Open Tornadoes_HW6 data. Test if the month of May has more than 130 tornadoes on average.

13. What test/procedure did you perform? (5 points)

• a. One-sided t-test
• b. Two-sided t-test
• c. Regression
• d. Confidence Interval

14. What is the P-value/margin of error? (5 points)

• a. 68.90523
• b. 163.9778
• c. 20.70142
• d. None of these

15. What is the Statistical interpretation? (5 points)

• a. The P-value is much greater than 5% thus we cannot claim that the averages are different.
• b. The P-value is much greater than 5% thus we are very certain that the slope is not zero.
• c. The prediction interval for the true average number of tornadoes for the month of May is [143.2764, 184.6792]
• d. The P-value is much greater than 5% thus we cannot claim that May has more than 130 tornadoes on average

16. What is the conclusion? (5 points)

• a. We are confident that May has a high average of number of tornadoes.
• b. We are confident that the month of May has more than 130 tornadoes on average.
• c. We cannot be confident that the month of May has more than 130 tornadoes on average.
• d. None of these.

Answer 1

Answer13)a. One sided t test

Answer14)c. 20.70142

Since The 95% confidence interval is (143.276,184.679)

Margin of error=(143.276+184.679)/2

Answer 15)c.The prediction interval for the true average number of tornadoes for the month of May is [143.2764, 184.6792]

Answer 16 )p value=0.0009 since p value<0.05 so we reject null hypothesis.

Therefore we conclude that.We are confident that the month of May has more than 130 tornadoes on average.

Calculation part-