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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

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.)

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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