SPSS Problem 2: It is thought that the glycaemic index (GI) of food is an indica
ID: 3050400 • Letter: S
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SPSS
Problem 2: It is thought that the glycaemic index (GI) of food is an indicator of how it may influence appetite. A sample of children was provided with a breakfast of low GI foods on one day and high GI foods on another day, and the number of calories eaten at lunchtime was recorded The objective is to determine whether the kind of breakfast eaten has an effect on mean calorie intake. The data are saved in the file Q2 HW1.sa'v a) Test, at 2% significance level, if the sample data provide evidence to conclude that the mean calorie intake at lunchtime was higher after the high Gl breakfast. b) Construct a 98% confidence interval for the difference between the averages of lunchtime calories under the high and low Gl breakfast. Explain this interval LGI calorie 47.30 48.10 37.90 32.70 26.20 23.30 50.20 42.60 39.40 37.90 46.90 45.40 36.30 31.00 24.70 22.30 49.80 40.50 37.70 35.50Explanation / Answer
The test here used is the paired t-test and the alternative will be right-tailed.
Let UHbe the mean calorie intake at lunchtime after taking high GI.
And UL be the calorie intake at lunchtime after taking low GI.
Null hypothesis; UH - UL = 0 OR UH = UL
Alternative hypothesis: UH - UL > 0 OR UH > UL
Paired t-test
t = 6.3603, df = 9, p-value = 0.000065
Since p-value is less than 0.02 thus the null hypothesis is rejected and we conclude that mean calorie intake at lunchtime is high after high GI.
Mean of differences (UH - UL) = 1.55
The 98% confidence interval for differences (UH - UL) is ( 0, 0.9655039) ,
0 as the lower confidence limit is due to the fact that our alternative is UH - UL > 0
0.9655039 as the upper limit indicates that the differences (UH - UL) can atmost be 0.9655039 at 2% level of significance.
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