A population has a standard deviation of 16. If a sample of size 64 is selected from this population, what is the probability that the sample mean will be within 2 of the population mean? a. Since the mean is not given, there is no answer to this question.

b. -0.6826

c. 0.3413

d. 0.6826

e. -0.3413

The correct option is  D

Step-by-step explanation:

From the question we are told that

    The standard deviation is  

     The sample size is  n =  64

The standard error of mean is mathematically evaluated as

substituting values

Generally the probability that the sample mean will be within 2 of the population mean is mathematically represented as

Generally  

So

substituting values

=>    

From the normal distribution table

=>  

=>  

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold