12. A soft-drink manufacturer claims that its 12-ounce cans do not contain, on average, more than 30 calories. A random sample of 64 cans of this soft drink, which were checked for calories, contained a mean of 32 calories with a standard deviation of 3 calories. A) Does the sample information support the alternative hypothesis that the manufacturer's claim is false? Use a significance level of 5%. B) Based on your decision, which type of error could the sample data have led you to make?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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12. A soft-drink manufacturer claims that its 12-ounce cans do not contain, on average, more than 30 calories. A
random sample of 64 cans of this soft drink, which were checked for calories, contained a mean of 32 calories
with a standard deviation of 3 calories.
A) Does the sample information support the alternative hypothesis that the manufacturer's claim is false? Use a
significance level of 5%.
B) Based on your decision, which type of error could the sample data have led you to make?
Transcribed Image Text:12. A soft-drink manufacturer claims that its 12-ounce cans do not contain, on average, more than 30 calories. A random sample of 64 cans of this soft drink, which were checked for calories, contained a mean of 32 calories with a standard deviation of 3 calories. A) Does the sample information support the alternative hypothesis that the manufacturer's claim is false? Use a significance level of 5%. B) Based on your decision, which type of error could the sample data have led you to make?
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