A study has been made to compare the average amount of sugar contents for two brands of energy drinks. Ten energy drinks of brands P and eight energy drink of brand Q were sampled and the amount of sugar content was recorded for this study. The following are the SPSS output for the analysis of sugar contents. Group Statistics Brand of Energy Drink Mean Std. Deviaton Sid. Error Mean Sugar Content Energy Drink P 10 10.80 4.185 1.323 Energy Drivk O 11.00 1.009 378 Independent Samples Test Sugar Content Equal variances Equal varances not assumed assumed Levene's Test for Equality of F Variances 2.176 160 Hest for Equality of Means 131 145 16 10.439 Sg. (2-taled) 887 Mean Diference 200 200 Sid. Error Diference 1.526 1.376 95% Confidence Interval of Lower 3.249 the Dference Upper 3.035 2.849 a) Determine whether the variances of the amount of sugar for the two brands are equal. Use a-0.05. b) Assume the sugar content is normally distributed. If it is claimed that energy drink P has less amount of sugar than energy drink Q, conduct a hypothesis testing to test this claim. Use a = 0.05.

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QUESTION 5
A study has been made to compare the average amount of sugar contents for two brands of
energy drinks. Ten energy drinks of brands P and eight energy drink of brand Q were
sampled and the amount of sugar content was recorded for this study. The following are the
SPSS output for the analysis of sugar contents.
Group Statistics
Brand of Energy Drink
N
Mean
Sid. Deviaton Std. Error Mean
Sugar Content Energy Drink P
10
10.80
4.185
1.323
Energy Drink O
11.00
1.069
378
Independent Samples Test
Sugar Content
Equal variances Equal varances
assumed
not assumed
Levene's Test for Equality of F
Variances
Hest for Equality of Means t
2.176
Sg.
160
131
145
di
16
10.439
Sg. (2-taled)
807
887
Mean Difference
200
200
Sid. Error Diference
1.526
1.376
95% Confidence Interval of Lower
3.435
-3.249
the Difference
Upper
3.035
2.849
a) Determine whether the variances of the amount of sugar for the two brands are equal.
Use a-0.05.
b) Assume the sugar content is normally distributed. If it is claimed that energy drink P has
less amount of sugar than energy drink Q, conduct a hypothesis testing to test this
claim. Use a
a0.05.
Transcribed Image Text:QUESTION 5 A study has been made to compare the average amount of sugar contents for two brands of energy drinks. Ten energy drinks of brands P and eight energy drink of brand Q were sampled and the amount of sugar content was recorded for this study. The following are the SPSS output for the analysis of sugar contents. Group Statistics Brand of Energy Drink N Mean Sid. Deviaton Std. Error Mean Sugar Content Energy Drink P 10 10.80 4.185 1.323 Energy Drink O 11.00 1.069 378 Independent Samples Test Sugar Content Equal variances Equal varances assumed not assumed Levene's Test for Equality of F Variances Hest for Equality of Means t 2.176 Sg. 160 131 145 di 16 10.439 Sg. (2-taled) 807 887 Mean Difference 200 200 Sid. Error Diference 1.526 1.376 95% Confidence Interval of Lower 3.435 -3.249 the Difference Upper 3.035 2.849 a) Determine whether the variances of the amount of sugar for the two brands are equal. Use a-0.05. b) Assume the sugar content is normally distributed. If it is claimed that energy drink P has less amount of sugar than energy drink Q, conduct a hypothesis testing to test this claim. Use a a0.05.
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