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A Pet association claims that the mean annual cost of food for dogs and cats are...

A Pet association claims that the mean annual cost of food for dogs and cats are the same. The results for samples for the two types of pets are shown below. Is there enough evidence at a = .05 to reject the pet association's claim? Assume the population variances are not equal. Assume the samples are random and independent and the populations are normally distributed.

Dogs    Cats

x1 =210    x2=187

s1= 35    s1=31

n1=17 n1= 9

A) State the claim mathematically. Is the claim the null or alternative hypothesis?

B) State your hypotheses

C) Determine the test of significance (t-test or z-test) and justify your choice.

D) State the standardized test statistic.

E) State the p-value.

F) State the correct decision of the test.

G) Interpret the decision in the context of the claim.

Math   Statistics-And-Probability   
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