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...


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

Holiday Period

1994

1995

1996

1997

1998

1999

2000

2001

2002

2003

New Year's Day

143

144

176

76

219

138

171

134

210

70

Memorial Day

195

176

185

197

138

183

156

190

188

181

July 4th

178

219

202

179

169

178

219

64

234

184

Labor Day

189

188

166

179

162

171

180

138

202

189

Thanksgiving

212

198

218

210

203

168

187

217

210

202

Christmas

152

129

66

183

134

191

155

210

60

198

(a)

Calculate the standard deviation for the New Year's Day data. (Round the answer to three decimal places.)



(b)

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 Day data.

larger

smaller

(c)

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 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 three decimal places.)

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 than all of the standard deviations for the holidays that can occur on different days of the week. There is variability for the holidays that always occur on the same day of the week.

Jun 02, 2022
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