Question

The time married men with children spend on child care averages 9.8 hours per week (Time, March 12, 2012). You belong to a professional group on family practices that would like to do its own study to determine if the time married men in your area spend on child care per week differs from the reported mean of 9.8 hours per week. The standard deviation for the amount of time married men in your area spend on child care is believed to be a constant 3.9 hours per week. A sample of 200 couples produced a mean of 9.1 hours spents on child care per week.

at the .02 level of significance, the population mean number of hours married men are spending on child care (does/ does not) differ from the mean of 6.4 hours

Answer 1

since u 29.8 hours Standard deviation - 3-6 hours. lotell Sample reiken (n) = 200 mean of sample 1x) = 9.1 hows. level of significance (2) = 0.02 a) Null and Alternative hypothesis.- Ho: M=9.8 Hii U 7 9.8 Test Staliste! z = x - l = 9.1-9.8. 3.6/5200 = -9.75- P- Value = 0.006 - @ since P-value is less than & 20.02 so we Reject the null rypothesis. goe 'so there is sufficient evidence to conclude that the population mean mumber of hours married men are spending on child care differ from the mean a ng. 8 hours.