Question

A veterinarian does research on the causes of enteroliths, stones that develop in the colon of horses. She suspects that feeding alfalfa might be a cause. To investigate that suspicion, she selects five horses that are known to have enteroliths and compares the number of flakes of alfalfa they have eaten over a month with the number of flakes eaten by five horses free of enteroliths. She calculates a two‑sample confidence interval for the difference in means and finds that it includes zero. Therefore, she can conclude that: all horses get exactly the same amount of alfalfa each month whether or not they have enteroliths. on average, horses with and without enteroliths are fed the same amount of alfalfa per month. all horses get exactly the same amount of alfalfa each day whether or not they have enteroliths. the 10 horses in the sample were fed exactly the same amounts of alfalfa.

Answer 1

Answer:

On average, horses with and without enteroliths are fed the same amount of alfalfa per month

Step-by-step explanation:

Hello!

The veterinarian wants to research if eating alfalfa causes horses to have enteroliths.

The study variables are:

X₁: number of alfalfa flakes eaten over a month by a horse with enteroliths.

X₂: number of alfalfa flakes eaten over a month by a horse free of enteroliths.

She calculated a CI interval, with level 1 - α and the interval contained the cero.

With a significance level α, the hypotheses are:

H₀: μ₁ - μ₂ = 0

H₁: μ₁ - μ₂ ≠ 0

To decide whether you should reject or not the null hypothesis using a Confidence Interval is the following:

If the CI contains the number stated in the null hypothesis, the decision is to not reject the null hypothesis.

If the CI doesn't contain the number stated in the null hypothesis, then the decision is to reject the null hypothesis.

Since the interval contains the cero, if 1 - α and α are complementary, the decision is to reject the null hypothesis.

This means that at a level of significance of α, you can conclude that there is no difference between the population means of the numbers of alfalfa flakes eaten by horses with or without enteroliths.

I hope it helps!