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 a = 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 Cats X1 = $223 X2 = $188 S1 = $44 $2 = $40 n, = 17 n2 = 14 O A. "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 equal." OC. "The mean annual costs of food for dogs and cats are not equal." O D. "The mean annual cost of food for cats is greater than the cost for dogs." What are Ho and H,? The null hypothesis, Ho, is H1 = H2: The alternative hypothesis, Ha, is µ, # 42- Which hypothesis is the claim? V The null hypothesis, Ho O The alternative hypothesis, H, (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.)

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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 a = 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
Cats
$223 X2
$188
%3D
S1
= $44
S2 = $40
n1
17
n2
14
%3D
A. "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 equal."
O C. "The mean annual costs of food for dogs and cats are not equal."
D. "The mean annual cost of food for cats is greater than the cost for dogs."
What are H, and H,?
The null hypothesis, Ho, is µ1 = H2: The alternative hypothesis, H2, is µ1 # µ2.
Which hypothesis is the claim?
The null hypothesis, Ho
The alternative hypothesis, Ha
(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.)
Transcribed Image Text: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 a = 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 Cats $223 X2 $188 %3D S1 = $44 S2 = $40 n1 17 n2 14 %3D A. "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 equal." O C. "The mean annual costs of food for dogs and cats are not equal." D. "The mean annual cost of food for cats is greater than the cost for dogs." What are H, and H,? The null hypothesis, Ho, is µ1 = H2: The alternative hypothesis, H2, is µ1 # µ2. Which hypothesis is the claim? The null hypothesis, Ho The alternative hypothesis, Ha (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.)
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