ariances are not equal. Assume the samples are random and independent, and the populations Dogs = $214 X2 = $179 Cats S1 = $32 $2 = $28 n, = 18 n2 = 8 YA. "The mean annual costs of food for dogs and cats are equal." OB. "The mean annual cost of food for dogs is greater than the cost for cats." O C. "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." hat are H, and H, ? he null hypothesis, Ho, is µ1 = H2. The alternative hypothesis, H, is µy # H2. /hich hypothesis is the claim? O The alternative hypothesis, H,
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![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
$214
X2 = $179
S1
= $32
S2 = $28
n1
18
n2 =
8.
%3D
A. "The mean annual costs of food for dogs and cats are equal."
%3D
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 H, and H,?
The null hypothesis, Ho, is µ1 = µ2. The alternative hypothesis, Ha, is µ, + µ2.
Which hypothesis is the claim?
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.
(Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5a79a351-adb7-4947-aec3-3ff9c7d963fa%2F2b6f856f-5ec6-46a7-8222-1238768c283c%2Fy330oba_processed.png&w=3840&q=75)
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