A random sample of 1414

college women and a random sample of 1919

college men were separately asked to estimate how much they spent on clothing in the last month. The accompanying table shows the data. Suppose the null hypothesis that the mean amount spent by men and the mean amount spent by women for clothing are the same could not be rejected using two-tailed test at a significance level of 0.05.

a. If a 95% confidence interval for the difference between means is found, would it capture 0?

b. If a 99% confidence interval for the difference between means is found, would it capture 0?

Find a 95% confidence interval for the difference between means, and explain what it shows.

Sex	$clothes
m	60
f	140
m	180
f	185
f	30
f	200
f	150
m	40
m	80
f	140
m	180
m	160
m	10
f	60
f	130
m	170
m	30
f	50
m	180
m	180
m	145
m	50
m	30
m	180
f	70
m	170
m	80
m	100
f	160
f	190
m	40
f	100
f	130