Go to an online normal random variable generator; and generate 20 normally distributed random numbers. state these numbers that you generated. construct a 95% confidence interval for the mean of these numbers. does your confidence interval contain the initially assigned mean?

(-0.507,0.406)

Step-by-step explanation:

The online normal variable generator gave the following data set with n = 20

-0.42,-0.74,-1.54,1.16,1.19,0.32,-0.63,0.95,-1.8,1.49,0.02,0.7,0.56,-1.28,0.16,-0.05,0.28,-0.82,1.25,-1.81

For a normally distributed data,

Mean = 0 and Standard deviation = 1

Formula:

where are data points, is the mean and n is the number of observations.

Mean =

Standard Deviation, =

Confidence interval =

At 95%,

Putting all the values, we get the confidence interval as:

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

1 1/5

step-by-step explanation: