I post too much don't I? haha anyway, any help with this problem is appreciated.
"From a normal population, a sample with N=4 is taken with sample mean M= 81 and sample standard deviation s = 10.42. For a null hypothesis = 92, calculate a t-score for the sample mean. What is the p-value for a two-tailed test? Based on the p-value, is the population mean significantly different from 92?"
Calculating a tscore for sample mean is: sample mean - null hypothesis/ standard error of the mean so 81-92/(10.42/(sqrt)5)= -2.36
P(-2.36<t<0)=0.4585. Thus, P(t<-2.36)=0.5-0.4585= 0.0415. Since this is a two-tailed test (it asked how the mean is different not less than or greater than) I double this amount? So is my p-value 0.2075? The last part of the question I always get stuck on (Based on the p-value, is the mean significantly different from 92) but I want to go with yes. ha. There's another question, but I'm stuck
"Based on the p-value you found above, can you conclude that the population mean is significantly different from 92 at 0.01 level? How about at 0.1 level?"