Question 1032697
Assumptions have to be a normally distributed population where the population variance is estimated by the sample's variance.  One could try using the central limit theorem to say that as the sample size increases, the sample tends towards normality, but 25 is not a large sample in the absence of any other information.
Ho=mean is 7.30
Ha=mean is not 7.30
alpha=0.05 P {reject Ho|Ho true}
test stat is a t df=24
critical value |t|>2.064
calculation t=(7.31-7.30)/s/ sqrt(n)
that is 0.01*5/0.04=1.25
Fail to reject Ho
95% CI is 2.064*0.04/5 on either side=0.0165
(7.294,7.327)  Since the CI contains the hypothesized value of the parameter, fail to reject Ho