# Calculate the point estimate for women’s words uttered per day

Mehl published a study in the journal Science reporting the results of an extensive study of men and women comparing the number of words uttered per day by each sex. Volunteer participants wore inconspicuous recording devices that recorded their daily word usage. On average, women (N = 198) uttered 16,201 words per day (SD = 1779.45), and men uttered 15,993 words per day (SD = 2224.61). Treating the men’s data as national, the population parameters, how would I compute the following:

(a)     Calculate the point estimate for women’s words uttered per day.

(b)     Calculate the 95% confidence interval around the point estimate.

(c)     Make a decision regarding the null hypothesis on the basis of this confidence interval.

(d)     To see the effect of sample size on a test statistic, recalculate your 95% confidence interval assuming you studied 598 women. Reassess the status of your null hypothesis with this new sample size.

2) How is the calculation of confidence intervals superior to null hypothesis testing? Compare and contrast the information provided by both statistical techniques