Question

Write the word or phrase that best completes each statement or answers the   question.

Test the given claim by using the critical value method of testing   hypotheses

A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a mean different from the 600 mg stated by the manufacturer. Using a significance level of 0.05, test this claim. The mean acetaminophen content for a random sample of 34 tablets was 603.2 mg with a standard deviation of 6.4 mg.

Answer 1

Below are the null and alternative Hypothesis,
Null Hypothesis, H0: μ = 600
Alternative Hypothesis, Ha: μ ≠ 600

Rejection Region
This is two tailed test, for α = 0.05 and df = 33
Critical value of t are -2.035 and 2.035.
Hence reject H0 if t < -2.035 or t > 2.035

Test statistic,
t = (xbar - mu)/(s/sqrt(n))
t = (603.2 - 600)/(6.4/sqrt(34))
t = 2.915

reject the null hypothesis.

There is sufficient evidence to conclude that the amounts of acetaminophen in a certain brand of cold tablets have a mean different from the 600