14. a brand-new school district needs to generate id numbers for its student body. the district anticipates a total
enrollment of 75,000 students within the next ten years. will a five-digit id number using the symbols 0, 1,…, 9
be enough? explain your reasoning.

Yes, it will be enough.

Step-by-step explanation:

In this problem, we must check if the number of all possible variations of the five-digit ID code will be greater than the expected 75,000 students.

If all the numeric symbols from 0 to 9 will be used in the ID, there are ten possible values for each of the five digits. Therefore, the total number of possibilities (N) can be determined as follows:

Since the total number of possible five-digit IDs is bigger than the expected number of students, this system will be enough.

(a)

(b) The best  point estimate of is the sample mean

The margin of error =  4.552

Step-by-step explanation:

Given : The confidence interval for the population mean =  (13.046 , 22.15)

Sample mean :

Standard deviation :

Sample size :

a. Let represents the population mean.

Then we can write the confidence interval for the population mean as :-

b. The best  point estimate of is the sample mean

Also, the lower limit of confidence interval can be written as

i.e.

Hence, the margin of error =  4.552