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 α = 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 = $244 X₂ = $209 S₁ = $37 S2 = $33 n₁ = 15 n₂ = 9 (a) Identify the claim and state Ho and Ha Which is the correct claim below? OA. "The mean annual costs of food for dogs and cats are equal." O B. "The mean annual costs of food for dogs and cats are not 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."

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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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
x = 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 = $244 x2
= $209
S1
= $37
S2 = $33
n₁ = 15
n₂ = 9
(a) Identify the claim and state Hō and Ha.
Which is the correct claim below?
A. "The mean annual costs of food for dogs and cats are equal."
B. "The mean annual costs of food for dogs and cats are not equal."
C. "The mean annual cost of food for cats is greater than the cost for dogs."
D. "The mean annual cost of food for dogs is greater than the cost for cats."
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 x = 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 = $244 x2 = $209 S1 = $37 S2 = $33 n₁ = 15 n₂ = 9 (a) Identify the claim and state Hō and Ha. Which is the correct claim below? A. "The mean annual costs of food for dogs and cats are equal." B. "The mean annual costs of food for dogs and cats are not equal." C. "The mean annual cost of food for cats is greater than the cost for dogs." D. "The mean annual cost of food for dogs is greater than the cost for cats."
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