Asoft-drink manufacturer claims that its 12-ounce cans do not contain, on average, more than 30 calories. A random sample of 62 cans of this soft drink, which were checked for calories, contained a mean of 32 calories with a standard deviation of 3 calories. Doe the sample information support the alternative hypothesis that the manufacturer's claim is false? Use a significance level of 5%. Fin the range for the p-value for this test. What will your conclusion be using this p-value and a = 0.05? Use the t distribution table to find a range for the p-value. The sample information supports the alternative hypothesis.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 7PPS
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A soft-drink manufacturer claims that its 12-ounce cans do not contain, on average, more than 30 calories. Arandom sample of 62
cans of this soft drink, which were checked for calories, contained a mean of 32 calories with a standard deviation of 3 calories. Does
the sample information support the alternative hypothesis that the manufacturer's claim is false? Use a significance level of 5%. Find
the range for the p-value for this test. What will your conclusion be using this p-value and a = 0.05?
Use the t distribution table to find a range for the p-value.
The sample information supports
the alternative hypothesis.
< p-value <
i
The manufacturer's claim is
false
Transcribed Image Text:A soft-drink manufacturer claims that its 12-ounce cans do not contain, on average, more than 30 calories. Arandom sample of 62 cans of this soft drink, which were checked for calories, contained a mean of 32 calories with a standard deviation of 3 calories. Does the sample information support the alternative hypothesis that the manufacturer's claim is false? Use a significance level of 5%. Find the range for the p-value for this test. What will your conclusion be using this p-value and a = 0.05? Use the t distribution table to find a range for the p-value. The sample information supports the alternative hypothesis. < p-value < i The manufacturer's claim is false
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