Question

A veterinarian wants to know the average number of cats her customers own. She has her assistant, Margaret, take a random sample and construct a 95% confidence interval for the average: (1.35, 2.58).

(a) What is the margin of error for the interval?

(b) What should the veterinarian conclude about the test H₀: μ = 2.72 vs. H_a: μ ≠ 2.72 at α = 0.05?

She should  ---- not reject reject not make a conclusion about the null hypothesis because  ---- 2.72 is inside the interval 2.72 is outside the interval 0 is inside the interval 0 is outside the interval the interval does not give enough information. .

(c) Would it be reasonable for the veterinarian to say that her customers have more than 1.3 cats on average?

Yes, the entire interval is above that value.

No, some values below 1.3 are also realistic estimates.    

No, the entire interval is above that value.

Yes, some values below 1.3 are also realistic estimates.

Answer 1

a)

margin of error =( upper bound - lower)/2
= ( 2.58 - 1.35)/2
= 0.615

b)

She should reject about the null hypothesis because 2.72 is outside the interval

c)

Yes, the entire interval is above that value.