The number of violent cri mes committed in a day possesses a distribution with a mean of 2.8 crimes per day and a standard deviation of 4 crimes per cay. A random sample of 100 days was observed, and the sample mean number or crimes for the sample was calculated. Describe the sampling distribution of the sample means.

a.) shape unknown with mean of 2.8 and a standard deviation of 0.4

b.) approximately normal with mean of 2.8 and standard deviation of 4

c.) shape unknown with mean of 2.8 and standard deviation of 4

d.) approximately normal with mean of 2.8 and standard deviation of 0.4

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents

i am so sorry , i have no idea but i want points so i won't be a beginner anymore