Can someone help/check with these questions. I did majority of the work. but some i need help with.

Question

Are the mean number of times a month a person eats out the same for whites, blacks, Hispanics and Asians? Suppose that Table 13.26 shows the results of a study (listed below) Assume that all distributions are normal, the four population standard deviations are approximately the same, and the data
were collected independently and randomly. Use a level of significance of 0.05. (graph from excel is also listed below).

a. Ho

b. Ha

c. In words, CLEARLY state what your random variable X bar or P′ represents.(xbar stands for mean number of times a month a person eats out)

d. State the distribution to use for the test. ( f distribution)

e. What is the test statistic? (f statistic 0.885)

f. What is the p-value? In one or two complete sentences, explain what the p-value means for this problem. ( I know the p value is 0.471 but i don't know what it means for this problem)

g. Use the previous information to sketch a picture of this situation. CLEARLY, label and scale the horizontal axis and shade the region(s) corresponding to the p-value. (is there a sight i can do this on?)

h. Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion, using complete sentences

Alpha: (0.05)

Decision: (do not reject h0)

Reason for decision: p value 0.471 > 0.05)

Conclusion: (?)

i. Construct a 95% confidence interval for the true mean or proportion. Include a sketch of the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval.
WHITE
6
8
2
4
6

BLACK
4
1
5
2

HISPANIC
7
3
5
4
6

ASIAN
8
3
5
1
7



SUMMARY

f = 0.885297483
p value = 0.471058044
f crit = 3.287382105
ss between groups = 13.03157895
ss within groups = 73.6