5 148 174 219 188 198 129 176 185 202 166 218 66 76 197 179 179 210 183 8 219 138 169 162 203 134 6. 138 183 178 171 168 191 171 156 219 180 187 155 1 134 190 64 138 217 210 2 210 188 234 202 210 60 70 181 184 189 202 198

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Suppose a government organization reported the accompanying data on the number of speed-related crash fatalities during holiday periods for the years from 1994 to 2003.
Speed-Related Fatalities
Year
New Years Day
Memorial Day
July 4th
Labor Day
Thanksgiving
Christmas
1994
147
197
178
193
212
152
1995
148
174
219
188
198
129
1996
176
185
202
166
218
66
1997
76
197
179
179
210
183
1998
219
138
169
162
203
134
1999
138
183
178
171
168
191
2000
171
156
219
180
187
155
2001
134
190
64
138
217
210
2002
210
188
234
202
210
60
2003
70
181
184
189
202
198
n USE SALT
(а)
Calculate the standard deviation for the New Year's Day data. (Round the answer to four decimal places.)
(b)
Day data.
Without calculating the standard deviation of the Memorial Day data, determine whether the standard deviation for the Memorial Day data would be larger or smaller than the standard deviation of the New Year's
larger
o smaller
(c)
week every year. Based on the given data, is there more or less variability in the speed-related crash fatality numbers from year to year for same day of the week holiday periods than for holidays that can occur
on different days of the week? Support your answer with appropriate measures of variability. (Round your answers to four decimal places.)
Memorial Day and Labor Day are holidays that always occur on Monday and Thanksgiving always occurs on a Thursday, whereas New Year's Day, July 4th, and Christmas do not always fall on the same day of the
The standard deviations for Memorial Day, Labor Day, and Thanksgiving are
and
respectively. The standard deviations for New Year's Day, July 4th, and Christmas
are
and
, respectively. The standard deviations for the same day of the week holidays are all smaller
than all of the standard deviations for the holidays
that can occur on different days of the week. There is ( less
variability for the holidays that always occur on the same day of the week.
Transcribed Image Text:Suppose a government organization reported the accompanying data on the number of speed-related crash fatalities during holiday periods for the years from 1994 to 2003. Speed-Related Fatalities Year New Years Day Memorial Day July 4th Labor Day Thanksgiving Christmas 1994 147 197 178 193 212 152 1995 148 174 219 188 198 129 1996 176 185 202 166 218 66 1997 76 197 179 179 210 183 1998 219 138 169 162 203 134 1999 138 183 178 171 168 191 2000 171 156 219 180 187 155 2001 134 190 64 138 217 210 2002 210 188 234 202 210 60 2003 70 181 184 189 202 198 n USE SALT (а) Calculate the standard deviation for the New Year's Day data. (Round the answer to four decimal places.) (b) Day data. Without calculating the standard deviation of the Memorial Day data, determine whether the standard deviation for the Memorial Day data would be larger or smaller than the standard deviation of the New Year's larger o smaller (c) week every year. Based on the given data, is there more or less variability in the speed-related crash fatality numbers from year to year for same day of the week holiday periods than for holidays that can occur on different days of the week? Support your answer with appropriate measures of variability. (Round your answers to four decimal places.) Memorial Day and Labor Day are holidays that always occur on Monday and Thanksgiving always occurs on a Thursday, whereas New Year's Day, July 4th, and Christmas do not always fall on the same day of the The standard deviations for Memorial Day, Labor Day, and Thanksgiving are and respectively. The standard deviations for New Year's Day, July 4th, and Christmas are and , respectively. The standard deviations for the same day of the week holidays are all smaller than all of the standard deviations for the holidays that can occur on different days of the week. There is ( less variability for the holidays that always occur on the same day of the week.
Expert Solution
Step 1

a).

For the calculation of standard deviation, we will first need to find the mean

The following table shows the required calculations.

Observation: X X^2
1 147 21609
2 148 21904
3 176 30976
4 76 5776
5 219 47961
6 138 19044
7 171 29241
8 134 17956
9 210 44100
10 70 4900
Sum = 1489 243467

The formula and calculation for mean is shown as follows;

Mean=xin          =147+.....+7010          =148910          =148.9

 

The formula and calculations for the standard deviation is shown as follows;

Standard devitaion=1n-1i=1n(xi-x¯)2                                  =(147-148.9)2+....+(70-148.9)210-1                                  =21754.99                                  = 2417.2111111111                                  =49.165141219274                                  49.1651

 

Therefore, the standard deviation for the New Year's Day data is 49.1651.

 

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