Respuesta :
Answer:
We reject H₀, we don´t have enough evidence for claim mean is reasonable 21 eggs
Step-by-step explanation:
We assume normal distribution, and as n (sample) is 20 minor than 30 we should use t-student tables, then:
1:- Hypothesis test:
Null Hypothesis H₀ μ₀ = 21
Alternative Hypothesis Hₐ μ₀ < 21
We choose one tail test to the left because thye information we have is of 20 eggs by month therefore we have not indication of major production
2.- n = 20 Then degree of fredom is df = n - 1 df = 20 -1 df = 19
And we will choose 95% of confidence interval so α = 0,05
with these values we go to t-student table to get t(c)
t(c) = 1,729 and t(c) = - 1,729 by symmetry
3.- We need to calculate t(s) as:
t(s) = μ - μ₀ ) / 2/√n ⇒ t(s) = (20 - 21 )* √20 /2
t(s) = -1*4,47/ 2
t(s) = - 2,23
4.- Comparison of t(c) and t(s)
t(s) < t(c) - 2,23 < - 1,729
5.-We found that t(s) is in the rejection region we, reject H₀
We don´t have enough evidence to claim the mean could reasonable be in 21 eggs
