In a Study of Factors Affecting Whether Soldiers Decide to Reenlist,320

question 128

Multiple Choice

In a study of factors affecting whether soldiers decide to reenlist,320 subjects were measured for an index of satisfaction.The sample mean is 28.8 and the sample standard deviation is 7.3.Use the given sample data to construct the 98 percent confidence interval for the population mean.

• A)[27.85,29.75]
• B)[27.96,29.64]
• C)[11.82,45.78]
• D)[28.75,28.85]
• E)[28.60,29.00]

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Definitions:

Population Mean

The average of a set of data points or values in a population, calculated by summing all the data points and dividing by the number of points.

Sample Mean

The average value calculated from a subset of a population.

Alternative Hypothesis

The hypothesis that proposes there is a statistically significant difference between two variables, contrasted with the null hypothesis.

Population Mean

The average of all the values in a population, serving as a measure of central tendency for the entire population.