Hypothesis Testing for a Soft-Drink Manufacturer A soft-drink manufacturer claims that its 12-ounce

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Hypothesis Testing for a
Soft-Drink Manufacturer

A soft-drink manufacturer claims
that its 12-ounce cans do not contain, on average, more than 30 calories A
random sample of 16 cans of this soft drink, which were checked for calories,
contained a mean of 318 calories with a standard deviation of 3 calories
Assume that the number of calories in 12-ounce soda cans is normally distributed

a) State the null and alternative
hypotheses

b) Select the distribution to use
Explain briefly why you selected it

c) Assuming that they wish to test
the claim at alpha = 0025, determine the rejection and non rejection regions
based on your hypotheses in a) State the critical value

d) Calculate the value of the test
statistic

e) Does the sample information
support that the manufacturer’s claim is false? Explain your conclusion in
words

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