Apolymer is manufactured in a batch chemical process. viscosity measurements show that it is approximately normally distributed with a standard deviation of 20. a random sample of 42 batches has a mean viscosity of 759. construct a 99% confidence interval around the true population mean viscosity.

(751.05, 766.95)

Step-by-step explanation:

We know that the confidence interval for population mean is given by :-

,

where =population standard deviation.

= sample mean

n= sample size

z* = Two-tailed critical z-value.

Given :  

n= 42

We know that from z-table , the two-tailed critical value for 99% confidence interval : z* =2.576

Now, the 99% confidence interval around the true population mean viscosity :-

∴ A 99% confidence interval around the true population mean viscosity : (751.05, 766.95)

median is the value separating the higher half of a data sample, a population or probablity distribution from the lower half.

step-by-step explanation:

say you have 3,8,7,3,1,9,8 order them from lowest to highest

if orderd it would be 1,3,3,7,8,8,9 now you take away from the lowest and the highest until you end up in the middle.

so you would remove the 1 and 9 leaving you with 5 digits remaining

when you've reached the middle that would be your answer so in this case the answer is 7

if there were two numbers left say 7 and 5 you'd and them together so 12 then divide by 2 witch would equal 6 so the answer would be 6

good luck on that project hoped i you at all

a - base

b - exponent

so,