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

ID: 3217608 • Letter: A

Question

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 a = 0.10, 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 What are H_0 and H_a? The null hypothesis, H_0, is mu_1 = mu_2. The alternative hypothesis H_a, is mu_1 notequalto mu_2. Which hypothesis is the claim? The alternative hypothesis, H_a The null hypothesis, H_0 (b) Find the critical value(s) and identify the rejection region(s). Enter the critical value(s) below. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed)

Explanation / Answer

b) Critical t: ±1.754406 at Degrees of freedom: 14.8254 and alpha = 10%

Test Statistic, t: 2.0453

P-Value: 0.0590

Here P-value < 0.10, we reject H0

Thus, we conclude that two population means are not equal

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