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 = $231 X2 = $196 S1 = $35 S2 $31 15 n2 9. %3D %3D (a) Identify the claim and state Ho and Ha. Which is the correct claim below? A. "The mean annual cost of food for cats is greater than the cost for dogs." O B. "The mean annual costs of food for dogs and cats are equal." O C. "The mean annual cost of food for dogs is greater than 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 The alternative hypothesis, Ha, is Which hypothesis is the claim? 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.) Select the correct rejection region(s) below. O A. - to to O C. t< -to O D. t>to (c) Find the standardized test statistic. (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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
7 solve all parts please
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
= $231
X2 = $196
S1
= $35
S2 =
$31
n1
15
n2 =
9.
%3D
(a) Identify the claim and state Ho and Ha.
Which is the correct claim below?
A. "The mean annual cost of food for cats is greater than the cost for dogs."
O B. "The mean annual costs of food for dogs and cats are equal."
O C. "The mean annual cost of food for dogs is greater than
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
The alternative hypothesis, Ha, is
Which hypothesis is the claim?
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.)
Select the correct rejection region(s) below.
O A. - to <t<to
O B. t< -to, t> to
OC. t< -to
O D. t>to
(c) Find the standardized test statistic.
(Type an integer or decimal rounded to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
V the null hypothesis.
(e) Interpret the decision in the context of the original claim.
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 = $231 X2 = $196 S1 = $35 S2 = $31 n1 15 n2 = 9. %3D (a) Identify the claim and state Ho and Ha. Which is the correct claim below? A. "The mean annual cost of food for cats is greater than the cost for dogs." O B. "The mean annual costs of food for dogs and cats are equal." O C. "The mean annual cost of food for dogs is greater than 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 The alternative hypothesis, Ha, is Which hypothesis is the claim? 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.) Select the correct rejection region(s) below. O A. - to <t<to O B. t< -to, t> to OC. t< -to O D. t>to (c) Find the standardized test statistic. (Type an integer or decimal rounded to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. V the null hypothesis. (e) Interpret the decision in the context of the original claim.
What are Ho and Ha
The null hypothesis, Ho, is
The alternative hypothesis, Ha, is
Which hypothesis is the claim?
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.)
Select the correct rejection region(s) below.
O A. -to <t<to
O B. t< -to, t>to
O C. t< -to
O D. t>to
(c) Find the standardized test statistic.
%3=
(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 1% significance level,
enough evidence to reject the claim that the mean annual costs of food for dogs and cats are the same.
Transcribed Image Text:What are Ho and Ha The null hypothesis, Ho, is The alternative hypothesis, Ha, is Which hypothesis is the claim? 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.) Select the correct rejection region(s) below. O A. -to <t<to O B. t< -to, t>to O C. t< -to O D. t>to (c) Find the standardized test statistic. %3= (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 1% significance level, enough evidence to reject the claim that the mean annual costs of food for dogs and cats are the same.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Knowledge Booster
Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman