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Rasek
1 month ago
8

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.
Mathematics
1 answer:
babunello [11.8K]1 month ago
7 0

Response:

Typically, horses both with and without enteroliths consume a similar amount of alfalfa each month

Detailed explanation:

Greetings!

The veterinarian aims to investigate if alfalfa consumption is linked to the development of enteroliths in horses.

The variables being examined include:

X₁: quantity of alfalfa flakes consumed monthly by a horse with enteroliths.

X₂: quantity of alfalfa flakes consumed monthly by a horse without enteroliths.

She computed a Confidence Interval (CI) at a level of 1 - α, which included zero in its range.

Using a significance level α, the hypotheses are as follows:

H₀: μ₁ - μ₂ = 0

H₁: μ₁ - μ₂ ≠ 0

To determine whether to reject the null hypothesis based on the Confidence Interval, follow this guideline:

If the CI encompasses the value proposed in the null hypothesis, you do not reject it.

If it does not include that value, rejection of the null hypothesis is warranted.

Since zero is contained within the interval, and since 1 - α and α complement each other, the null hypothesis should be rejected.

This implies that, at significance level α, one can assert there is no distinction between the mean alfalfa flakes consumed by horses with enteroliths and those without.

I trust this information is beneficial!

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