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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.

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