The "new grapefruit diet" has been advertised to be a remarkable way to lose weight. Random sample of four males' subjects are put on the diet; and here are the results after one month: Subject Before (B) After (A) Difference=After-Before (d;)-12 1 2 3 4 168 215 192 225 223 156 200 190 -15 -2 -2 a) If the diet "works" we would expect the average difference to be significantly less than 0. Since we are doing after minus before we would want the after weight to be smaller in this situation. Please conduct the hypothesis testing at 5% significance level when the alternative hypothesis is that H1= H- H3 < 0. Hint: FORMULAS: Pooled sample variance for constructing the confidence interval for population mean differences if population variances are not known:

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The "new grapefruit diet" has been advertised to be a remarkable way to lose weight. Random
sample of four males' subjects are put on the diet; and here are the results after one month:
Subject
Before (B)
After (A)
Difference=After-Before (d;)-12
1
2
3
4
168
215
192
225
223
156
200
190
-15
-2
-2
a) If the diet "works" we would expect the average difference to be significantly less than 0.
Since we are doing after minus before we would want the after weight to be smaller in this
situation. Please conduct the hypothesis testing at 5% significance level when the alternative
hypothesis is that H1= H - H3 < 0.
Hint: FORMULAS: Pooled sample variance for constructing the confidence interval for
population mean differences if population variances are not known:
(n-1)s + (n, –1)s
tata2 = 'n, +n, -2,a/ 2
t.
n
n +n, -2
b) Interpret the result.
Transcribed Image Text:The "new grapefruit diet" has been advertised to be a remarkable way to lose weight. Random sample of four males' subjects are put on the diet; and here are the results after one month: Subject Before (B) After (A) Difference=After-Before (d;)-12 1 2 3 4 168 215 192 225 223 156 200 190 -15 -2 -2 a) If the diet "works" we would expect the average difference to be significantly less than 0. Since we are doing after minus before we would want the after weight to be smaller in this situation. Please conduct the hypothesis testing at 5% significance level when the alternative hypothesis is that H1= H - H3 < 0. Hint: FORMULAS: Pooled sample variance for constructing the confidence interval for population mean differences if population variances are not known: (n-1)s + (n, –1)s tata2 = 'n, +n, -2,a/ 2 t. n n +n, -2 b) Interpret the result.
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