SOLUTION: The nutrition label on a bag of potato chips says that a one ounce (28 gram) serving of potato chips has 130 calories and contains ten grams of fat, with three grams of saturated f
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Question 1134264: The nutrition label on a bag of potato chips says that a one ounce (28 gram) serving of potato chips has 130 calories and contains ten grams of fat, with three grams of saturated fat. A random sample of 35 bags yielded a sample mean of 134 calories with a standard deviation of 17 calories. Is there evidence that the nutrition label does not provide an accurate measure of calories in the bags of potato chips? We have already verified that the independence, sample size, and skew conditions are satisfied. (use α=.05)
1) Multiple choice. Write the hypotheses for the test:
(a) Ho: μ = 130
Ha: μ > 137
(b) Ho: μ = 130
Ha: μ = 134
(c) Ho: μ = 130
Ha: μ ≠ 130
(d) Ho: σ = 17
Ha: σ < 17
2) Compute the test statistic:
z = ___________
(round to two decimal places)
3) Compute the p-value for the test:
p = ______________
(round to four decimal places)
4) Multiple choice. What is the conclusion of the test?
(a) Since p<α we reject the null hypothesis and accept the alternative
(b) Since p ≥ α we reject the null hypothesis and accept the alternative
(c) Since p ≥ α we accept the null hypothesis
(d) Since p<α we fail to reject the null hypothesis
(e) Since p ≥ α we do not have enough evidence to reject the null hypothesis
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
c: Ho: cal=130
Ha: cal NE 130
alpha=0.05 P{reject Ho|Ho true}
test stat is z
critical value |z|>1.96
calculation z=(134-130)/17/sqrt(35)=4 sqrt(35)/17=1.39
fail to reject p=0.1639
insufficient evidence to reject Ho
e
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