In a random sample of 32 criminals convicted of a certain crime, it was determined that the mean length of sentencing was 52 months, with a standard deviation of 9 months. construct and interpret a 90% confidence interval for the mean length of sentencing for this crime.
select the correct choice below and fill in the answer boxes to complete your choice. (use ascending order. round to one decimal place as needed.)a. there is a 90% probability that the mean length of sentencing for the crime is between and .b. 90% of the sentences for the crime are between months. c. we can be 90% confident that the mean length of sentencing for the crime is between months.

There is a 90% probability that the mean length of sentencing for the crime is between 49.4 and 54.6 months.

Step-by-step explanation:

Confidence Interval can be calculated using M±ME where

And margin of error (ME) from the mean can be calculated using the formula

ME= where

Then ME= ≈2.6

90% confidence interval for the mean length of sentencing for the crime is

52 ± 2.6 months.

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8

d

step-by-step explanation:

the two points from this line are   (0,4)   & (2,-2)

we can call

now, lets find the slope (m):

now finding b (the y intercept). this is the point at the y-axis where the line cuts the axis. looking at the graph, it is y = 4. so the point is 4. hence b = 4

the slope-intercept form is given by  

putting the points, we have:

d is the correct answer.