IMathAS-libretexts

4.23 Nutrition labels: 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)

a) Write the hypotheses for the test:

Ho: μ = 130
Ha: μ ≠ 130
Ho: μ = 130
Ha: μ > 137
Ho: μ = 130
Ha: μ = 134
Ho: σ = 17
Ha: σ < 17

b) Compute the test statistic:
z = (round to two decimal places)

c) Compute the p-value for the test:
p = (round to four decimal places)

d) What is the conclusion of the test?

Since p<α we reject the null hypothesis and accept the alternative
Since p ≥ α we do not have enough evidence to reject the null hypothesis
Since p ≥ α we reject the null hypothesis and accept the alternative
Since p ≥ α we accept the null hypothesis
Since p<α we fail to reject the null hypothesis

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