Astudy is performed in a large southern town to determine whether the average weekly grocery bill per four-person family in the town is significantly different from the national average. the national average grocery bill is $100 (standard deviation unknown). a random sample of 25 families is taken in the town, and the mean is found to be 103.23 with a standard deviation of 8.82.
for each item below, show your work and/or explain your reasoning to receive full credit.
a). state the null and alternative hypotheses for this situation.
b). assuming a 0.05 level of significance, compute the appropriate test statistic.
c). find the critical t value. can you reject the null hypothesis? explain/justify your response using numbers and words