What procedure do i use to see a significant difference in Paired T tests?
Haircuts. You need to find a new hair stylist and know that there are two terrific salons in your area, Hair by Charles and Curl Up and Dye. You want a really good haircut, but you do not want to pay too much for the cut. A random sample of costs for 10 different stylist was taken at each salon (each salon employs over 100 stylists)
a. indicate what inference procedure you would use to see if there is a significant difference in the cost for haircuts at each salon. Check the appropriate assumptions and conditions and indicate whether you could or could nor proceed. (Do not do the actual tests)
b. A friend tells you that he has heard that Curl Up & Dye is the more expensive salon. Write hypothesis for your friends claim.
Thank you very much. I figured out all the other problems except this. 
It’ll help alot if someone gave me the solution to this one. 
a. You would use a two sample t-test to test that the means of the two populations are different.
The assumptions of the t-test are that the populations are normally distributed (so the distribution in haircut costs in the two salons are normally distributed). Unless there is some reason you might think this would not be the case, like one group of cheap stylists and one group of expensive stylists in each salon creating a bi-modal distribution, then this is a relatively safe assumption. Even vast departures from normality is not too pathological to the t-test.
You also need to assume the population variances are equal; if not then you should run a two sample t-test with unequal variances.
b. Null Hypothesis: Ho: Mean of Curl and Dye stylist cost is not greater than mean of hair by charles haircut cost.
Alternate hypothesis: Ha : Mean of Curl and Dye stylist cost is greater than mean of hair by charles haircut cost.
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