How Many Tissues Should a Package of Tissues Contain? Researchers $\bar { x } = 34 , s = 20$

question 40

Multiple Choice

How many tissues should a package of tissues contain? Researchers have determined that a person uses an average of 40 tissues during a cold. Suppose a random sample of 2500 people yielded the following data on the number of tissues used during a cold: $\bar { x } = 34 , s = 20$ . Suppose the corresponding test statistic falls in the rejection region at $\alpha = .05$ . What is the correct conclusion?

• A) At \(\alpha = .10\), reject \(H _ { \mathrm { a } }\).
• B) At \(\alpha = .10\), reject \(H _ { 0 }\).
• C) At \(\alpha = .05\), reject \(H _ { 0 }\).
• D) At \(\alpha = .05\), accept \(H _ { \mathrm { a } }\).

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Definitions:

Nonparametric Method

Statistical methods that do not assume a particular distribution for the data, often used when data doesn't fit normal distribution assumptions.

Matched Pairs

A study design in which each subject in one group is matched with a similar subject in another group, often used to control for varying variables.

Interval Data

Represents data that has meaningful intervals but no true zero, allowing for both order and the exact difference between values to be understood.

Parametric T-test

A statistical test used to compare the means of two groups, assuming that the data are drawn from populations with normally distributed variables.