Question

Suppose we would like to estimate the mean amount of money (μ) spent on clothing by female McGill students in the last month. A random sample of 14 university women spending is: {200,200,100,100,200,200, 250,150,80,80,20,50,100,350}. Assume that the amount spent on cloths is normally distributed. Compute 95% and 99% confidence interval for μ.

4- Following exercise 3 we asked a random sample of 19 university men to estimate how much they spent on clothing in the last month. The data is {175,150,100,100,200,200,200,100,0,200,80,100,120,80, 25,50,100,30,60}. Test the hypothesis that the population mean-amounts spent on clothes are different for men and women. Use a significant level of 0.05 and 0.01. Assume that the distributions of amount spending are approximately Normal.

Answer 1

at a significance level of 0.05 the test the hypothesis that the population mean amount spent on cloths are different for men and women (-3442.26,3362.998) and at 0.01 (-4959.9658,4880.7038) by assuming of amount spending are approximately normal.