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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 At 0 05 can you 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 Complete parts a through e below Dogs X1 219 S 42 n 17 Cats X2 184 a Identify the claim and state Ho and Ha Which is the correct claim below OA The mean annual cost of food for dogs is greater than the cost for cats B The mean annual costs of food for dogs and cats are not equal OC The mean annual cost of food for cats greater than the cost for dogs D The mean annual costs of food for dogs and cats are equal What are Ho and Ha The null hypothesis Ho is The alternative hypothesis Ha is M Which hypothesis is the claim The null hypothesis Ho The alternative hypothesis Ha S2 38 n 14 b Find the critical value s and identify the rejection region s Enter the critical value s below O A t to B t to t to C to t to Type an integer or decimal rounded to three decimal places as needed Use a comma to separate answers as needed Select the correct rejection region s below O D t to c Find the standardized test statistic t Type an integer or decimal rounded to three decimal places as needed d Decide whether to reject or fail to reject the null hypothesis the null hypothesis e Interpret the decision in the context of the original claim

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