Question

A random sample of 45 working mothers with six-year-old or younger children was selected from companies that provide day-care facilities on premises and it was found that they missed an average of 6.4 days from work last year with a standard deviation of 1.2 days. Another sample of 50 such mothers were randomly selected from companies that do not provide day-care facilities on premises and it showed that these mothers missed an average of 9.3 days last year with a standard deviation of 1.85 days. Use a 0.05 significance level to test that the mean number of days missed per year by mothers working for companies that provide day-care facilities on premises is different than the mean number of days missed per year by mothers working for companies that do not provide day-care facilities on premises.

What is the t-stat?

What is the p-value?

What is your decision for the hypothesis test above? Retain or reject Ho?

Please write a statement that summarizes your findings from the hypothesis test above.

Answer 1

Conclusion : hence we can say that the mean number of days missed per year by mothers working for companies that provide day-care facilities on premises is different than the mean number of days missed per year by mothers working for companies that do not provide day-care facilities on premises.

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