Data from the u. s. department of education indicates that 59% of business graduate students from private universities had student loans. suppose you randomly survey a sample of graduate business students from private universities. consider the sampling distribution (sample size n = 105) for the proportion of these students who have loans.

what is the mean of this distribution? (enter your answer accurate to two decimal places.)

what is the standard deviation of this sampling distribution (i. e., the standard error)?

The mean of this distribution = 61.95

The standard deviation of this sampling distribution  (i.e., the standard error= 0.048

Step-by-step explanation:

Given : Data from the U.S. Department of Education indicates that 59% of business graduate students from private universities had student loans.

i.e. proportion of business graduate students from private universities had student loans : p=0.59

sample size : n=105

Then , the mean of the distribution is given by :-

∴The mean of this distribution = 61.95

Then standard deviation of this sampling distribution is given by :-

∴The standard deviation of this sampling distribution  (i.e., the standard error= 0.048

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

a. she will receive a refund of $278.

step-by-step explanation: