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TheIncognateo
11.02.2020 •
Mathematics
Suppose that X1, X2,..., Xn are i.i.d, N(μ, δ²) and μ and δ² are estimated by the method of maximum likelihood, with resulting estimates μ_hat and δ²_hat. Suppose the bootstrap is used to estimate the sampling distribution of μ_hat.
a. Explain why the boostrap estimate of the distribution of μ_hat is N(μ_hat, δ²_hat/n)
b. Explain why the bootstrap estimate of the distribution of μ_hat -μ is N(0, δ²_hat/n)
c. According to the result of the previous part, what is the form of the boostrap confidence interval for μ , and how does it compare to the exact confidence interval based on the t distribution?
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Ответ:
B. 57°F
Step-by-step explanation:
Given:
F = n/4 + 37
Where,
F = temperature in degrees Fahrenheit
n = number of times per minute crickets chirps
Find F when n = 80
F = n/4 + 37
F = 80/4 + 37
= 20 + 37
= 57
F = 57 °F
B. 57 °F