Question

The manufacturer of a particular cold medicine claims that its’ product provides relief from symptoms in...

The manufacturer of a particular cold medicine claims that its’ product provides relief from symptoms in 30.00 minutes, on average.

To test this claim ( i.e., the “null hypothesis” is that the population mean = 30.00), a sample of 144 cold sufferers were offered the medicine ( so, “n” = 144).

The ( sample) mean time to relief was 31.14 minutes, with a standard deviation = 9.00 minutes.

a.) Can the manufacturer’s claim be rejected, based on this sample (use an “alpha” = .05, employing a two-tailed test)? Show your work.

b.) Solve for the p-value of the test.

c.) In general, would a large p-value or a small p-value tend to support the manufacturer’s claim? Explain.

Math   Statistics-And-Probability   
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