A consumer advocacy group suspects that a local supermarket’s 10-ounce packages of cheddar cheese actually weigh less than 10 ounces. The distribution of this cheese is known to be normal with a standard deviation equal to 0.15 ounces. A sample of 20 packages were analyzed and the mean weight was 9.955 ounces. Using the sample data and a 1% significance level, are you able to conclude that the mean weight of the cheese is actually less than 10 ounces? State the hypotheses_________________________________________________________________ Will you use z or t? ________ Why? ______________________________________________________ Describe your test in terms of the sampling distribution. A bell curve is a great way to visualize it! p-value approach What will prompt you to reject H0? _____________________________________ Calculate the Test Statistic: What is the p-value? _____________________ critical value approach What is the ‘critical’ z or t value? ___________ What will prompt you to reject H0? _____________________________________ Calculate the Test Statistic: Evaluate the results. Make the appropriate comparison: _____________________________________________________ Do you reject or fail to reject H0? _________________________ Conclusion (in words): ______________________________________________________________ ___________________________________________________________
A consumer advocacy group suspects that a local supermarket’s 10-ounce packages of cheddar
cheese actually weigh less than 10 ounces. The distribution of this cheese is known to be normal
with a standard deviation equal to 0.15 ounces. A sample of 20 packages were analyzed and the mean
weight was 9.955 ounces.
Using the sample data and a 1% significance level, are you able to conclude that the mean weight of
the cheese is actually less than 10 ounces?
State the hypotheses_________________________________________________________________
Will you use z or t? ________ Why? ______________________________________________________
Describe your test in terms of the sampling distribution. A bell curve is a great way to visualize it!
p-value approach
What will prompt you to reject H0?
_____________________________________
Calculate the Test Statistic:
What is the p-value? _____________________
critical value approach
What is the ‘critical’ z or t value? ___________
What will prompt you to reject H0?
_____________________________________
Calculate the Test Statistic:
Evaluate the results.
Make the appropriate comparison: _____________________________________________________
Do you reject or fail to reject H0? _________________________
Conclusion (in words): ______________________________________________________________
___________________________________________________________
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