Agricultural scientists are testing a new chicken feed to determine whether it increases the number of eggs laid. The scientists

Question

Agricultural scientists are testing a new chicken feed to determine whether it increases the
number of eggs laid. The scientists divided a flock in half, and gave half of the chickens the new feed,
while the other half were given a regular feed. The eggs laid in a one-year period for a random sample
of 30 chickens using the new feed and 30 chickens using the regular feed are recorded. Assume that
the population standard deviation of number of eggs laid is 12 eggs per year for both groups and
that the number of eggs laid per year is normally distributed. Let the chickens that were fed with the
new feed be the first sample, and let the chickens that were fed with the regular feed be the second
sample.
The scientists conduct a two-mean hypothesis test at the 0.05 level of significance, to test if there
is evidence that the new feed increases the number of eggs laid.
(a) Ho M₁ = 2; Ha M₁ M2, which is a right-tailed test.
(b) z. 1.38, p-value is approximately 0.084
(c) Which of the following are appropriate conclusions for this hypothesis test? Select all that apply.
Select all that apply:
There is insufficient evidence at the 0.05 level of significance to conclude that the
new feed increases the number of eggs laid per chicken per year.
There is sufficient evidence at the 0.05 level of significance to conclude that the
new feed increases the number of eggs laid per chicken per year.
Fail to reject Ho.
Reject Ho.

Kunduz · Accepted Answer

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