A pet association claims that the mean annual cost of food for dogs and cats are the same. variances are not equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. 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 Dogs Cats X1 = $207 X2 = $172 $1 = $35 $2 = $31 n2 = 8 Which is the correct claim below? O A. "The mean annual costs of food for dogs and cats are not 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 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 The alternative hypothesis, H.

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a. The null​ hypothesis, H0​, is U1 = U2 / U1 greater than or equal to U2 / U1 less than or equal to U2 The alternative​ hypothesis, Ha​, is U1 not equal to U2 / U1 greater than U2 / U1 less than U2.

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.
Fail to reject / reject the null hypothesis.
 
​(e) Interpret the decision in the context of the original claim.
At the 10% significance​ level, there is / there is not enough evidence to reject the claim that the mean annual costs of food for dogs and cats are the same.
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
X1
= $207
X2
= $172
S1
= $35
S2 = $31
n1
18
n2
8.
%3D
Which is the correct claim below?
O A. "The mean annual costs of food for dogs and cats are not 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 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?
The null hypothesis, Ho
The alternative hypothesis, H.
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 = 0.10, 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 X1 = $207 X2 = $172 S1 = $35 S2 = $31 n1 18 n2 8. %3D Which is the correct claim below? O A. "The mean annual costs of food for dogs and cats are not 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 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? The null hypothesis, Ho The alternative hypothesis, H.
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
X1
$207
X2
= $172
S1
$35
S2
$31
n1
18
n2
8
=
=
(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
B. - to <t<to
O C. t< - to
O D. t< - to, t>to
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 = 0.10, 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 X1 $207 X2 = $172 S1 $35 S2 $31 n1 18 n2 8 = = (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 B. - to <t<to O C. t< - to O D. t< - to, t>to
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