A large insurance company wanted to estimate u, the mean claim size (in 5) on an auto insurance policy. A random sample of 225 claims was chosen and it was found that the average claim size was $2875. From past experience the population standard deviation is assumed to be $1350.
Which of the following is the point estimate for u?

A. $225
B. $2875
C. $1350
D. None of the above.

Respuesta :

Answer: B. $2875

Step-by-step explanation:

We know that best point estimate of population mean[tex](\mu)[/tex] is the sample mean[tex](\overline{x})[/tex] .

Given : A large insurance company wanted to estimate [tex]\mu[/tex], the mean claim size (in 5) on an auto insurance policy.

A random sample of 225 claims was chosen and it was found that the average claim size was $2875.

i.e. Sample mean [tex]\overline{x}=\$2875[/tex]

That means , the point estimate for [tex]\mu=\$2875[/tex]

Hence , the correct answer is option B . $2875.