Consider the Following to Answer the Question(s) Below

question 4

Multiple Choice

Consider the following to answer the question(s) below:
A large software development firm recently relocated its facilities. Top management is interested in fostering good relations with their new local community and has encouraged their professional employees to engage in local service activities. They believe that the firm's professionals volunteer an average of more than 15 hours per month. If this is not the case, they will institute an incentive program to increase community involvement. A random sample of 24 professionals reported the following number of hours:
The sample has a mean of 16.6 hours and a standard deviation of 2.22 hours.
-The correct value of the test statistic is

• A) t = 3.629
• B) t = -3.629
• C) t = 1.223
• D) t = -1.223
• E) t = 0.789

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Definitions:

Normally Distributed

A type of continuous probability distribution for a real-valued random variable, characterized by a symmetric bell-shaped curve.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how much the individual values deviate from the mean.

Standard Deviation

A measure of the amount of variation or dispersion in a set of values, representing an average distance from the mean.

Mean

The average value obtained by adding all the data points in a set together and then dividing by the number of data points.