consumer advocacy group suspects that a local supermarket's 10-ounce packages cheddar cheese actually weigh less than 10 ounces. The group took a random mple of 50 such packages and found that the mean weight for the sample was 955 ounces. The population follows a normal distribution with the population ndard deviation of .15 ounce. scuss the question: Is there a statistically significant difference in the mean ights of 10-ounce packages in the sample compared to the labeled amount of 10- nces? lude the following points in your discussion: 1. What does "statistical significance" mean in relation to this question 2. Why isn't it enough to say that "since the mean weight in the sample is less than 10 ounces, it is clear that the labelling is incorrect"? 3. Construct a hypothesis test for this question 4. Perform the hypothesis test analysis for a significance level of 1% using the critical-value approach (Test Statistic comparison) 5. What is the n-value for this toct? JWill

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A consumer advocacy group suspects that a local supermarket's 10-ounce packages
of cheddar cheese actually weigh less than 10 ounces. The group took a random
sample of 50 such packages and found that the mean weight for the sample was
9.955 ounces. The population follows a normal distribution with the population
standard deviation of .15 ounce.
Discuss the question: Is there a statistically significant difference in the mean
weights of 10-ounce packages in the sample compared to the labeled amount of 10-
ounces?
Include the following points in your discussion:
1. What does "statistical significance" mean in relation to this question
2. Why isn't it enough to say that "since the mean weight in the sample is less
than 10 ounces, it is clear that the labelling is incorrect"?
3. Construct a hypothesis test for this question
4. Perform the hypothesis test analysis for a significance level of 1% using the
critical-value approach (Test Statistic comparison)
5. What is the p-value for this test? Will you reject the null hypothesis at ?
Transcribed Image Text:A consumer advocacy group suspects that a local supermarket's 10-ounce packages of cheddar cheese actually weigh less than 10 ounces. The group took a random sample of 50 such packages and found that the mean weight for the sample was 9.955 ounces. The population follows a normal distribution with the population standard deviation of .15 ounce. Discuss the question: Is there a statistically significant difference in the mean weights of 10-ounce packages in the sample compared to the labeled amount of 10- ounces? Include the following points in your discussion: 1. What does "statistical significance" mean in relation to this question 2. Why isn't it enough to say that "since the mean weight in the sample is less than 10 ounces, it is clear that the labelling is incorrect"? 3. Construct a hypothesis test for this question 4. Perform the hypothesis test analysis for a significance level of 1% using the critical-value approach (Test Statistic comparison) 5. What is the p-value for this test? Will you reject the null hypothesis at ?
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