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Consider the Following to Answer the Question(s) Below

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Consider the following to answer the question(s) below:
Data were collected on annual personal time (in hours) taken by a random sample of 16 women and 7 men employed by a medium sized company. The women took an average of 24.75 hours of personal time per year with a standard deviation of 2.84 hours. The men took an average of 21.86 hours with a standard deviation of 3.29 hours. The Human Resources Department believes that women tend to take more personal time than men because they tend to be the primary child care givers in the family. Consider the following to answer the question(s) below: Data were collected on annual personal time (in hours) taken by a random sample of 16 women and 7 men employed by a medium sized company. The women took an average of 24.75 hours of personal time per year with a standard deviation of 2.84 hours. The men took an average of 21.86 hours with a standard deviation of 3.29 hours. The Human Resources Department believes that women tend to take more personal time than men because they tend to be the primary child care givers in the family.   -Are the assumptions and conditions for carrying out the t-test for two means satisfied? Explain.
-Are the assumptions and conditions for carrying out the t-test for two means satisfied? Explain.


Definitions:

Room Temperature

The ambient temperature of a room, typically considered to be between 20°C and 22°C (68°F and 72°F).

Muscle Mass

The total weight or volume of muscle in an individual's body, often associated with strength, athletic performance, and health.

Strength Improvement

Strength Improvement involves exercises or activities designed to increase muscle mass, power, and endurance.

Endurance

The ability to sustain physical or mental activity for extended periods of time.

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