Use the Given Degree of Confidence and Sample Data to Construct

question 47

Multiple Choice

Use the given degree of confidence and sample data to construct a confidence interval for the population mean $\mu$ . Assume that the population has a normal distribution.
-A sociologist develops a test to measure attitudes towards public transportation, and 27 randomly selected subjects are given the test. Their mean score is 76.2 and their standard deviation is 21.4. Construct the 95%
Confidence interval for the mean score of all such subjects.

• A) \(74.6 < \mu < 77.8\)
• B) \(64.2 < \mu < 88.2\)
• C) \(69.2 < \mu < 83.2\)
• D) \(67.7 < \mu < 84.7\)

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Definitions:

PHStat

An Excel add-in that enhances the statistical functions of the software, enabling more complex analyses tailored to business and statistics courses.

Sample of Employees

A subset of employees selected from a larger population for the purpose of examining or collecting data regarding the whole group.

One-Sample Test

A statistical test used to determine whether the mean of a single sample differs significantly from a known or hypothesized population mean.

Chi-Square Test

A statistical test used to determine if there is a significant association between two categorical variables.