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Question 1: A random sample of male college baseball players and-(Answered)

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Question 1:

A random sample of male college baseball players and a random sample of male college soccer players were obtained independently and weighted. The distributions of both data sets suggest that the population distributions are roughly Normal. Test whether there is a significant difference between their mean weights, using a significance level of 10%.

(a) State the null and alternative hypothesis. Also specify the type of test.

????????????????????????

??????????????????????????????????????????? Ho:

??????????????????????????????????????????? Ha:

(b) Insert the table ?Independent Samples Test?

(c) State the p-value from table from (b). Compare with the significance level

(d) Make the conclusion. Explain whether we have strong evidence to support/reject the claim.

Question 2:

Brain size for 20 random women and 20 random men was obtained and is reported in the table (in hundreds of thousands of pixels shown in an MRI). Test the hypothesis that men tend to have larger brains than women at the 5% level.

(a) State the null and alternative hypothesis. Also specify the type of test.

????????????????????????

??????????????????????????????????????????? Ho:

??????????????????????????????????????????? Ha:

(b) Insert the table ?Independent Samples Test?

(c) State the p-value from table from (b). Compare with the significance level

(d) Make the conclusion. Explain whether we have strong evidence to support/reject the claim.

Question 3:

The prices of a sample of books at UCSB were obtained. Then the prices of books for the same subjects (at the same level) were obtained for CSUN. Assume that the distribution of differences is Normal enough to proceed, and assume that the sampling was random. Test the hypothesis that the population means are different, using a significance level of 5%.

(a) State the null and alternative hypothesis. Also specify the type of test.

????????????????????????

??????????????????????????????????????????? Ho:

? ??????????????????????????????????????????Ha:

(b) Insert the table ?Paired Samples Test?

(c) State the p-value from table from (b). Compare with the significance level

(d) Make the conclusion. Explain whether we have strong evidence to support/reject the claim.


Baseball Soccer

 

190

 

165

 

200

 

190

 

187

 

185

 

182

 

187

 

192

 

183

 

205

 

189

 

185

 

170

 

177

 

182

 

207

 

172

 

225

 

180

 

230

 

167

 

195

 

190

 

169

 

185

 

186

 

156

 

210

 

168

 

198

 

173

 

180

 

158

 

182

 

150

 

193

 

172

 

200

 

180

 

195

 

184

 

182

 

174

 

193

 

190

 

190

 

156

 

186

 

163

 


 

Female Male

 

8.2

 

9.5

 

9.3

 

9.9

 

8.5

 

8.3

 

8.6

 

8.8

 

8.7

 

8.5

 

8.1

 

7.9

 

8.3

 

8

 

7.9

 

8.7

 

8.6

 

8.3

 

9.5

 

8.9

 


 

10

 

10.4

 

9.7

 

9

 

9.6

 

10.8

 

9.2

 

9.5

 

8.9

 

8.9

 

9.1

 

9.6

 

9.4

 

10.6

 

9.5

 

10

 

8.8

 

9.5

 

9.3

 

9.4

 


 

Subject

 

UCSB

 

CSUN

 

Algebra

 

76.35

 

112.5

 

Anthro

 

86

 

70.5

 

Art

 

25.95

 

83

 

Biology

 

115.28

 

88.75

 

Chem

 

128.35

 

140.25

 

Chicano

 

18.95

 

12

 

Commun

 

37.5

 

62.25

 

Econ

 

87.95

 

126

 

Educ

 

35.95

 

32

 

English

 

65.95

 

47

 

Geog

 

83

 

96.75

 

Geol

 

87.65

 

94.5

 

Health

 

29.95

 

56.5

 

History

 

29.95

 

48

 

Human

 

45

 

82

 

Japanese

 

45

 

95.75

 

Journalism

 

44.95

 

84.75

 

Music

 

29.95

 

30.25

 

Phil

 

60.3

 

66.25

 

Physics

 

106.65

 

137.75

 

PolySci

 

87.95

 

77.75

 

Soc

 

74.75

 

87

 

Theatre

 

24.95

 

33

 

Women

 

35.95

 

48.75

 


 

 

Paper#9210221 | Written in 27-Jul-2016

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