ciation 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 the pet association's claim? Assume the population variances are not equal. Assume the samples are random and independent, and the populations are normally Complete parts (a) through (e) below. Cats X₂ = $178 S2 = $34 П2 = 9 Dogs = $213 = $38 = 15 The mean annual cost of food for cats is greater than the cost for dogs." The mean annual cost of food for dogs is greater than the cost for cats." e Ho and H₂? l hypothesis, Ho, is ₁12 The alternative hypothesis, Ha, is 1₂. hypothesis is the claim? he alternative hypothesis, Ha The null hypothesis, Ho and the critical value(s) and identify the rejection region(s). the critical value(s) below. RECED

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

A) find the critical value(s)

b) find the standard test statistic 

 

*round all answers to 3 decimal places *

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.
Cats
x1
Dogs
S1
0₁
=
=
X
w an example
$
$213
$38
15
S4
C. "The mean annual cost of food for cats is greater than the cost for dogs.
F4
D. "The mean annual cost of food for dogs is greater than the cost for cats.
What are Ho and Ha?
The null hypothesis, Ho, is ₁2. The alternative hypothesis, Ha, is P₁ P₂.
Which hypothesis is the claim?
J
X₂
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.
R
S2
F
1₂
(Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)
=
V
с
= $34
$178
= 9
Get more help -
5
F5
%
C
JL
D
B
F6
6
C
Y
H
F7
L
7
N
W
F8
U
J
W
*00
8
8
M
F9
09
9
K
F10
V
☀-
F11
0
Clear all
P
V
F12
;
Check answer
PrtSc
C
+ 11
Insert
1
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. Cats x1 Dogs S1 0₁ = = X w an example $ $213 $38 15 S4 C. "The mean annual cost of food for cats is greater than the cost for dogs. F4 D. "The mean annual cost of food for dogs is greater than the cost for cats. What are Ho and Ha? The null hypothesis, Ho, is ₁2. The alternative hypothesis, Ha, is P₁ P₂. Which hypothesis is the claim? J X₂ 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. R S2 F 1₂ (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) = V с = $34 $178 = 9 Get more help - 5 F5 % C JL D B F6 6 C Y H F7 L 7 N W F8 U J W *00 8 8 M F9 09 9 K F10 V ☀- F11 0 Clear all P V F12 ; Check answer PrtSc C + 11 Insert 1
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