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Carry out the correct statistical analysis and draw conclusions, to determine if

ID: 3224050 • Letter: C

Question

Carry out the correct statistical analysis and draw conclusions, to determine if there are differences between males and females, in terms of their weight and length?

Are infants always smaller and lighter then the adults?

Sex_Male_Female_Infant

Length_mm

Whole_grams

M

91

102.8

M

70

45.1

F

106

135.4

M

88

103.2

I

66

41

I

85

70.3

F

106

155.5

F

109

153.6

M

95

101.9

F

110

178.9

F

105

121.3

M

86

81.2

M

98

108.3

F

107

136.9

F

94

95.1

M

100

132.9

I

71

58.1

F

88

90.2

M

73

51.1

M

90

76.2

M

71

49.1

I

76

45.1

F

113

187.9

F

110

152.7

F

123

232.3

F

112

185.7

F

116

199.1

M

118

186.2

M

121

187.3

M

115

172.7

M

116

199.5

F

136

327.8

M

133

267.6

F

136

359.6

F

141

341.9

M

93

95.9

F

108

243.4

F

90

104.5

F

115

176.6

M

71

65.5

F

90

85

F

110

170.3

I

48

14

I

41

8.4

I

42

8.4

I

78

40.6

M

94

115.9

F

92

92.1

I

65

32.2

F

105

167.1

I

104

119

M

80

60.6

M

97

108.3

F

94

95.5

M

81

77

F

100

132.3

M

89

88.5

M

94

117.9

I

49

17.2

F

101

116.6

M

90

82.3

M

101

125

F

106

139.3

M

85

75.7

M

104

116

M

95

96

F

113

183

F

119

257

F

95

106.1

I

62

30.2

M

111

153.3

F

80

70.6

F

119

249.4

M

114

237

F

121

219.6

F

120

201.5

M

119

188.8

F

120

184.4

F

111

157.6

F

123

220.5

F

115

188.2

M

124

323

F

104

197.7

M

119

263.5

M

116

202.6

F

114

259

M

125

239

M

112

172.9

F

92

103.4

F

115

195.5

M

113

162.3

M

111

151

M

119

223

F

125

252.4

M

139

298.8

M

133

321.2

M

107

145

M

94

104.6

M

94

104.5

F

95

115.7

I

72

46.3

M

110

168.6

M

106

176.6

M

106

144.8

M

121

234.7

F

104

145.4

F

109

160.4

F

100

133.5

F

102

126.7

F

87

72.7

M

99

108.3

M

93

86.2

I

87

66.5

M

85

78.6

F

109

138.7

F

106

118.3

F

98

122.5

M

88

80.4

F

112

176.5

M

81

52.1

F

94

84.1

I

77

50.7

F

103

153.2

M

74

42.8

I

72

35.1

I

54

14.6

I

75

47.6

I

77

50.1

M

140

345.1

M

142

391.8

M

119

252.4

F

88

80.7

F

65

38.3

I

70

42.2

I

53

19.5

F

85

81.2

F

61

31.2

M

69

40.1

F

81

71.1

M

75

50.6

F

113

165.2

F

110

148.2

M

130

268.9

M

112

159.4

M

95

103.5

F

98

109.8

M

92

103

I

56

25.4

I

35

6.3

I

34

6

M

118

210.6

F

121

223.7

F

127

274.3

F

121

211.3

F

113

197.7

M

103

144.4

F

115

198.8

M

129

302.8

F

116

181.5

F

115

224.8

M

121

211.2

F

121

244.4

M

122

248.9

F

145

428.2

F

130

350.4

M

145

510

F

145

424.8

F

136

368.4

M

141

396.2

F

136

323.7

M

139

391.3

F

106

155

M

105

213

F

104

155.2

I

47

9.6

I

72

35.7

I

63

25

I

63

28.7

I

45

9.3

M

116

194

M

114

187.9

M

128

273.6

F

112

204.7

F

124

203.3

F

129

313.5

M

124

243.6

F

126

210.5

F

126

276.6

F

126

239.8

F

117

186.5

M

123

231.9

M

122

204.5

M

116

185.4

I

71

44

F

102

162.9

M

100

154.4

F

101

128.8

M

128

260.7

M

112

184.4

M

Sex_Male_Female_Infant

Length_mm

Whole_grams

M

91

102.8

M

70

45.1

F

106

135.4

M

88

103.2

I

66

41

I

85

70.3

F

106

155.5

F

109

153.6

M

95

101.9

F

110

178.9

F

105

121.3

M

86

81.2

M

98

108.3

F

107

136.9

F

94

95.1

M

100

132.9

I

71

58.1

F

88

90.2

M

73

51.1

M

90

76.2

M

71

49.1

I

76

45.1

F

113

187.9

F

110

152.7

F

123

232.3

F

112

185.7

F

116

199.1

M

118

186.2

M

121

187.3

M

115

172.7

M

116

199.5

F

136

327.8

M

133

267.6

F

136

359.6

F

141

341.9

M

93

95.9

F

108

243.4

F

90

104.5

F

115

176.6

M

71

65.5

F

90

85

F

110

170.3

I

48

14

I

41

8.4

I

42

8.4

I

78

40.6

M

94

115.9

F

92

92.1

I

65

32.2

F

105

167.1

I

104

119

M

80

60.6

M

97

108.3

F

94

95.5

M

81

77

F

100

132.3

M

89

88.5

M

94

117.9

I

49

17.2

F

101

116.6

M

90

82.3

M

101

125

F

106

139.3

M

85

75.7

M

104

116

M

95

96

F

113

183

F

119

257

F

95

106.1

I

62

30.2

M

111

153.3

F

80

70.6

F

119

249.4

M

114

237

F

121

219.6

F

120

201.5

M

119

188.8

F

120

184.4

F

111

157.6

F

123

220.5

F

115

188.2

M

124

323

F

104

197.7

M

119

263.5

M

116

202.6

F

114

259

M

125

239

M

112

172.9

F

92

103.4

F

115

195.5

M

113

162.3

M

111

151

M

119

223

F

125

252.4

M

139

298.8

M

133

321.2

M

107

145

M

94

104.6

M

94

104.5

F

95

115.7

I

72

46.3

M

110

168.6

M

106

176.6

M

106

144.8

M

121

234.7

F

104

145.4

F

109

160.4

F

100

133.5

F

102

126.7

F

87

72.7

M

99

108.3

M

93

86.2

I

87

66.5

M

85

78.6

F

109

138.7

F

106

118.3

F

98

122.5

M

88

80.4

F

112

176.5

M

81

52.1

F

94

84.1

I

77

50.7

F

103

153.2

M

74

42.8

I

72

35.1

I

54

14.6

I

75

47.6

I

77

50.1

M

140

345.1

M

142

391.8

M

119

252.4

F

88

80.7

F

65

38.3

I

70

42.2

I

53

19.5

F

85

81.2

F

61

31.2

M

69

40.1

F

81

71.1

M

75

50.6

F

113

165.2

F

110

148.2

M

130

268.9

M

112

159.4

M

95

103.5

F

98

109.8

M

92

103

I

56

25.4

I

35

6.3

I

34

6

M

118

210.6

F

121

223.7

F

127

274.3

F

121

211.3

F

113

197.7

M

103

144.4

F

115

198.8

M

129

302.8

F

116

181.5

F

115

224.8

M

121

211.2

F

121

244.4

M

122

248.9

F

145

428.2

F

130

350.4

M

145

510

F

145

424.8

F

136

368.4

M

141

396.2

F

136

323.7

M

139

391.3

F

106

155

M

105

213

F

104

155.2

I

47

9.6

I

72

35.7

I

63

25

I

63

28.7

I

45

9.3

M

116

194

M

114

187.9

M

128

273.6

F

112

204.7

F

124

203.3

F

129

313.5

M

124

243.6

F

126

210.5

F

126

276.6

F

126

239.8

F

117

186.5

M

123

231.9

M

122

204.5

M

116

185.4

I

71

44

F

102

162.9

M

100

154.4

F

101

128.8

M

128

260.7

M

112

184.4

M

111 170.4

Explanation / Answer

Excel formula:

1) Comparing length of boys & girls: 2 sample 2sided t-test with equal variance p-value= 0.244891727 >.05 Cant reject H0 so no significant difference 2) Comparing weights of boys & girls: 2 sample 2-sided t-test with equal variance p-value= 0.441835398 >.05 Cant reject H0 so no significant difference 3) checking if average height of boys & girls > that of infants?: 2sample, 1 sided t-test with equal variance p-value= 2.79111E-28 >.05 reject H0 so, yes infants are significantly shorter than boys & girls 3) checking if average weight of boys & girls > that of infants?: 2sample, 1 sided t-test with equal variance p-value= 8.23554E-16 >.05 reject H0 so, yes infants are significantly lighter than boys & girls