A pet association claims that the mean annual cost of fod for dogs and cats are the same. The resuits for samples for the two types of pets are 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. nown beloW. At Dogs Cats X1 = $252 X2 = $217 S1 $36 S2 = $32 15 n2 = 9 (a) Identify the claim and state Ho and Ha. Which is the correct claim below? VA. "The mean annual costs of food for dogs and cats are equal." O B. "The mean annual cost of food for cats is greater than the cost for dogs." O C. "The mean annual cost of food for dogs is greater than the cost for cats." O D. "The mean annual costs of food for dogs and cats are not equal." What are Ho and H? The null hypothesis, Ho, is 1 = H2. The alternative hypothesis, Ha, is u1 H2. Which hypothesis is the claim? O The alternative hypothesis, Ha The null hypothesis, Ho (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
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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1
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
Cats
X1
= $252
X2
$217
$36
S2 =
$32
%3D
15
n2
= 9
.....
(a) Identify the claim and state H, and Ha.
Which is the correct claim below?
A. "The mean annual costs of food for dogs and cats are equal."
O B. "The mean annual cost of food for cats is greater than the cost for dogs."
O C. "The mean annual cost of food for dogs is greater than the cost for cats."
O D. "The mean annual costs of food for dogs and cats are not equal."
What are Ho and H?
The null hypothesis, Ho, is µ1 = 12. The alternative hypothesis, Hạ, is µ1 * 42.
Which hypothesis is the claim?
The alternative hypothesis, Ha
The null hypothesis, Ho
(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 Cats X1 = $252 X2 $217 $36 S2 = $32 %3D 15 n2 = 9 ..... (a) Identify the claim and state H, and Ha. Which is the correct claim below? A. "The mean annual costs of food for dogs and cats are equal." O B. "The mean annual cost of food for cats is greater than the cost for dogs." O C. "The mean annual cost of food for dogs is greater than the cost for cats." O D. "The mean annual costs of food for dogs and cats are not equal." What are Ho and H? The null hypothesis, Ho, is µ1 = 12. The alternative hypothesis, Hạ, is µ1 * 42. Which hypothesis is the claim? The alternative hypothesis, Ha The null hypothesis, Ho (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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