## The probability is 51% that the sample mean will be between what two values, symmetrically distributed around the population mean? The lo

Question

The probability is 51% that the sample mean will be between what two values, symmetrically distributed around the population mean? The lower bound is nothing inches. (Round to two decimal places as needed.) The upper bound is nothing inches. (Round to two decimal places as needed.)

in progress
0

Math
3 weeks
2021-12-29T04:02:39+00:00
2021-12-29T04:02:39+00:00 1 Answer
0 views
0
## Answers ( )

Answer:The lower bound is, and the upper bound is .

Step-by-step explanation:Let the random variable

Xfollows a normal distribution with meanμand standard deviationσ.The the random variable

Z,defined as is standardized random variable also known as a standard normal random variable. The random variable .The standard normal random variable has a symmetric distribution.

It is provided that .

Determine the upper and lower bound as follows:

Use a standard normal table to determine the value of

z.The value of

zsuch that P (Z ≤ z) = 0.755 is 0.69.The lower bound is, and the upper bound is .