Question
The data set below is a random sample of the weights (in oz.) of 15 donuts....
- The data set below is a random sample of the weights (in oz.) of 15 donuts. From this, can we conclude with 95% confidence that the mean weight of a donut is greater than 2 ounces? Justify your answer.
2.3 2.6 2.0 2.4 1.8
3.1 2.2 2.5 1.7 2.1
1.4 2.0 1.5 2.6 2.3
Homework Answers
Answer #1
Null and alternative hypotheses
Ho : 
= 2
H1 :
> 2
Test statistic t
t = (xbar -
)/(s/√n)
t = ( 2.17 -2)/(0.45/√15)
t = 1.46
tCritical for a = 0.05 and d.f = n -1 = 14
tCritical = t1-a ,n-1 = t0.95, 14
tCritical = 1.76
Decision rule : if t > 1.76 we reject the null hypothesis otherwise we fail to reject the null hypothesis
Our t = 1.46 < 1.76
Decision : fail to reject the null hypothesis Ho
Conclusion : There is no sufficient evidence to support the claim that that the mean weight of a donut is greater than 2 ounces
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