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 = 0.10, 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. Dogs Cats X, = $234 X2 = $199 s, = $33 S2 = $29 n, = 18 n2 = 8 (a) Identify the claim and state Ho and Ha. Which is the correct claim below? O A. "The mean annual costs of food for dogs and cats are equal." O B. "The mean annual cost of food for dogs is greater than the cost for cats." 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 V The alternative hypothesis, Ha, is Which hypothesis is the claim? O 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.
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 = 0.10, 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. Dogs Cats X, = $234 X2 = $199 s, = $33 S2 = $29 n, = 18 n2 = 8 (a) Identify the claim and state Ho and Ha. Which is the correct claim below? O A. "The mean annual costs of food for dogs and cats are equal." O B. "The mean annual cost of food for dogs is greater than the cost for cats." 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 V The alternative hypothesis, Ha, is Which hypothesis is the claim? O 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.
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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Question
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 = 0.10, 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.
Dogs
$234 X2
Cats
X1
$199
S1 = $33
S2 = $29
n1
18
n2 =
(a) Identify the claim and state Ho and Ha.
Which is the correct claim below?
O A. "The mean annual costs of food for dogs and cats are equal."
B. "The mean annual cost of food for dogs is greater than the cost for cats."
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 Ho and H,?
The null hypothesis, Ho,
is
The alternative hypothesis, Ha, is
Which hypothesis is the claim?
O 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:Select the correct rejection region(s) below.
O A. t< -to, t>to
B. t>to
C. t< -to
O D. - to <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.
At the 10% significance level,
enough evidence to reject the claim that the mean annual costs of food for dogs and cats are the same.
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