what is the minimum sample size required to estimate a population mean with 95% confidence when the desired margin of error is E=1.5? The population standard deviation is known to be 10.75

The minimum sample size is 198

Step-by-step explanation:

We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of .

So it is z with a pvalue of , so

Now, find the margin of error M as such

In which is the standard deviation of the population and n is the size of the sample.

What is the minimum sample size required to estimate a population mean with 95% confidence when the desired margin of error is E=1.5?

This sample size is n.

n is found when M = 1.5.

We have that

Rounding up

The minimum sample size is 198

in 4 days he will run   12/14

step-by-step explanation:

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation: