Question

In: Statistics and Probability

How many tissues should a package of tissues contain? Researchers have determined that a person uses...

How many tissues should a package of tissues contain? Researchers have determined that a person uses an average of 61 tissues during a cold. Suppose a random sample of 10,000 people yielded the following data on the number of tissues used during a cold:

X-bar (mean): 47

s= 20

α= 0.01

Conduct a hypothesis test based on the data and be sure to write out all of the steps (hypothesis, test statistic, statistical decision and practical decision)

Expert Solution

Given that the sample size is and sample mean , sample standard deviation .
The hypotheses are

Since the sample size is very large, we use z-distribution.

The test statistics is

The P-value of the test is

Since the p-value is , statistical decision is we reject the null hypothesis.

Conclusion: We are 99% confident that the average number of tissues during a cold is different from 61.

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For a left side test (one sided), the hypotheses are

The P-value of the test is

Since the p-value is , statistical decision is we reject the null hypothesis.

Conclusion: We are 99% confident that the average number of tissues during a cold is less than 61.

You can use either of these tests.

orchestra answered 1 year ago

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