Hypothesis testing

TheSetMiner

Car magazine says that the average cost of a used car is 2000.

Then given a sample of 5 used cars priced at 2200, 2010, 2800, 2560, 1950, I am asked to conduct a hypothesis test at 10% significance level to see whether the cars statement can be rejected.

My attempt:

mean of sample: 2304
standard dev. of sample: sqrt(sum of square differences) = 730.84
deg of freedom: 5-1 = 4?

so now I know I must use the t square values and I believe for 10% significance these are +- 2.132

so 2304+- (2.132)(730.84) is my interval and since 2000 is still within this interval, it cannot be rejected?


If anyone could verify my solution that would be great. thanks

TheSetMiner

bump, anyone know?