Homework: Section 8.2 Homework Save Score: 0.78 of 1 pt 1 of 5 (5 complete) HW S

Question

Homework: Section 8.2 Homework Save Score: 0.78 of 1 pt 1 of 5 (5 complete) HW Score: 57.78%, 2. 8.2.13-T Question Help 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 001, 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) throuah (e) below = (a) Identify the claim and state Ho and Ha

Explanation / Answer

The statistical software output for this problem is:

Two sample T summary hypothesis test:
1 : Mean of Population 1
2 : Mean of Population 2
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 0
(without pooled variances)

Hypothesis test results:

Hence,

Claim: The mean annual cost for cats and dogs are same.

Ho: 1 - 2 = 0

b) Critical values = -2.865, 2.865

Rejection region: t < -2.865 or t > 2.865

c) Standardized test statistic = 2.716

Note: I have rounded the values to 3 decimal places. Please round it off as per the question demands,

Difference Sample Diff. Std. Err. DF T-Stat P-value 1 - 2 35 12.885823 18.781606 2.7161633 0.0138

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