In: Math
6. List below are the numbers of words spoken in a day by each member of six different couples.
Use a 0.05 significance level to test the claim that among couples, males speak more words in a
day than females. Assume that the population differences is normally distributed.
Male
5638
21,319
17,572
26,429
46,978
25,835
Female
5198
11,661
19,624
13,397
31,553
18,667
7. A sociologist wanted to estimate the difference in the amount of daily leisure time (in hours) of adults who do not have children under the age of 18 years and adults who have children under the age of 18 years. A random sample of 40 adults with no children under the age of 18 years results in a mean daily leisure time of 5.62 hours, with a standard deviation of 2.43 hours. A random sample of 40 adults with children under the age of 18 years results in a mean daily leisure time of 4.10 hours, with a standard deviation of 1.82 hours. Construct a 95% confidence interval for the mean difference in leisure time between adults with no children and adults with children.