Consider the Following to Answer the Question(s) Below

question 28

Multiple Choice

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.
-Based on the data, the correct 90% confidence interval for the difference between women and men in the average number of hours of personal time taken per year is

• A) 0.30 to 5.48 hours.
• B) -0.50 to 3.21 hours.
• C) -4.67 to -0.62 hours.
• D) 1.27 to 6.89 hours.
• E) -3.21 to 0.5.

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Definitions:

Mean

The average value of a set of numbers, obtained by dividing the sum of all the numbers by the count of numbers.

Percentile Points

Points or values below which a certain percentage of observations in a dataset fall, used to measure the relative standing of a value within a dataset.

F Distribution

A probability distribution that arises in the analysis of variance and is used in hypothesis testing and confidence interval estimation for two sample variances.

F Distribution

A probability distribution used in analysis of variance (ANOVA), among other tests, describing the ratio of variances from two normally distributed populations.