For the following data set, we conduct a single t-test assuming that m = 25.00,

s_M= 2.98.

23 40 10 25 32 15 18 22 35 10 17

H₀: =25. H₁: (does not)=25

n=11 x22.4545 s9.8931

t= 22.4545-25 / 9.8931 / square root (11)= -0.8534

Critical values = -2.228 and 2.228

A fan club is currently having a fund-raising campaign. Their goal is to get an average of $25.00 from each contributor. The first data set on your calculation sheet consists of the contributions given to them so far. We would like to find out if the contributions they have received are significantly different from their goal of $25.00.

1. What value(s) does the null hypothesispredict the mean to be?

2. In this research situation, how far away from the population mean, on average, would we expect any sample mean to be? (You should report an actual numerical value from the calculation sheet.)

3. Report your decision for the hypothesis test (reject or fail to reject the null) and interpret the results to a non-statistician.