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

The average weekly grocery bill per four-person family in the town is significantly different from the national average.          

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = $100

Sample mean, = $103.23

Sample size, n = 25

Alpha, α = 0.05

Sample standard deviation, s = $8.82

First, we design the null and the alternate hypothesis

We use Two-tailed t test to perform this hypothesis.

Formula:

Putting all the values, we have

Now,

Since,                

We accept the null hypothesis.

We accept the null hypothesis and determine that the average weekly grocery bill per four-person family in the town is significantly same to the national average.

it is 570

step-by-step explanation:

abby has a greater debt becasue she owea 5 more then alan does