Get the information you need with the help of IDNLearn.com's expert community. Join our community to receive prompt and reliable responses to your questions from experienced professionals.

An agricultural researcher plants 25 plots with a new variety of corn. The average yield for these plots is 150 bushels per acre. Assume that the yield per acre for the new variety of corn follows a Normal distribution with unknown mean μ and that a 95% confidence interval for μ is found to be 150 ± 3.29. Which of the following options gives the correct notation for and value of the point estimate?
A) n=25
B) μ= 150
C) x=150
D) =150
E) P=150


Sagot :

Answer: C is the correct option.

Step-by-step explanation:

Confidence interval for population mean:

[tex]\overline{x}\pm E[/tex]

, where [tex]\overline{x}[/tex] = Sample mean

E = Margin of error

Given confidence interval : 150 ± 3.29

Here , [tex]\overline{x}=150, E=3.29[/tex]

Since the sample mean is the best estimate for the population mean.

Thus, the correct notation is [tex]\overline{x}=150[/tex]

i.e. C is the correct option.