Aprofessor would like to estimate the average number of hours his students spend studying for his class. he wants to estimate μwith 99% confidence and with a margin of error of at most 2 hours. from past experience he knows the standard deviation of number of hours spent studying to be 8 hours. how many students need to be surveyed to meet these requirements? a. 106b. 105c. 107d. 108

n=106.1≅106

Option A which is 106 is correct

Step-by-step explanation:

In order to find the number of students need to be surveyed to meet the requirements we will use the following formula:

where:

n is the number of students need o be surveyed

Z is the distribution

S is the standard Deviation

E is the error Margin

Now:

S=8 ,E=2, CI= 99% or 0.99

For Z we need to find Alpha/2

Alpha=1-0.99

Alpha=0.01

Alpha/2=0.005 or 0.5%

From the cumulative Standard Distribution Table:

Z at alpha/2 =2.576

n= (2.576^2* 8^2)/2^2

n=106.1≅106

Option A which is 106 is correct

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.