A business consultant wanted to investigate whether providing daycare facilities on the company premises would reduce the absentee rate of working mothers with children aged 6 years or younger. She took a random sample of 15 mothers who work at companies that provide daycare facilities on the premises, and found that mothers missed an average of 4.2 days from work last year with a standard deviation of 3.78 days. She took random sample of 10 mothers working at companies that do not provide daycare facilities, and found that these mothers missed an average of 7.8 days last year with a standard deviation of 10.65 days. Test at a 10% significance level whether mothers working at a company providing daycare facilities will have less days missed from work than mothers working at companies that do not provide daycare facilities. Question 1 State the appropriate hypotheses for this problem setting above. Question 2 Find the critical value and rejection region at a 10% significance level (rounded off to three decimals). Question 3 Calculate the pooled variance estimator (rounded off to four decimals) Question 4 Calculate the test statistic (rounded off to four decimal
A business consultant wanted to investigate whether providing daycare facilities on the company premises would reduce the absentee rate of working mothers with children aged 6 years or younger. She took a random sample of 15 mothers who work at companies that provide daycare facilities on the premises, and found that mothers missed an average of 4.2 days from work last year with a standard deviation of 3.78 days. She took random sample of 10 mothers working at companies that do not provide daycare facilities, and found that these mothers missed an average of 7.8 days last year with a standard deviation of 10.65 days. Test at a 10% significance level whether mothers working at a company providing daycare facilities will have less days missed from work than mothers working at companies that do not provide daycare facilities.
Question 1
State the appropriate hypotheses for this problem setting above.
Question 2
Find the critical value and rejection region at a 10% significance level (rounded off to three decimals).
Question 3
Calculate the pooled variance estimator (rounded off to four decimals)
Question 4
Calculate the test statistic (rounded off to four decimal
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