Which is the correct claim below? OA. "The mean annual costs of food for dogs and cats are not equal." B. "The mean annual costs of food for dogs and cats are equal." OC. The mean annual cost of food for cats is greater than the cost for dogs. OD. "The mean annual cost of food for dogs is greater than the cost for cats What are Ho and H,? The null hypothesis, Ho, is "2 The altenative hypothesis, H, is 2 Which hypothesis is the claim? * The null hypothesis, Ho 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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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= 0.01, 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
X, = $261
Cats
X2 - $226
5, = $39
52 = $35
n, = 15
n2 = 9
Which is the correct claim below?
O A. "The mean annual costs of food for dogs and cats are not equal.
B. "The mean annual costs of food for dogs and cats are equal."
OC. The mean annual cost of food for cats is greater than the cost for dogs.
O D. "The mean annual cost of food for dogs is greater than the cost for cats."
What are Ho and H,?
The null hypothesis, Ho, is "H2. The alternative hypothesis, H is H2.
Which hypothesis is the claim?
* The null hypothesis, Ho
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.)
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= 0.01, 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 X, = $261 Cats X2 - $226 5, = $39 52 = $35 n, = 15 n2 = 9 Which is the correct claim below? O A. "The mean annual costs of food for dogs and cats are not equal. B. "The mean annual costs of food for dogs and cats are equal." OC. The mean annual cost of food for cats is greater than the cost for dogs. O D. "The mean annual cost of food for dogs is greater than the cost for cats." What are Ho and H,? The null hypothesis, Ho, is "H2. The alternative hypothesis, H is H2. Which hypothesis is the claim? * The null hypothesis, Ho 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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