Hi, can someone help me with a few questions please? (If possible, can I see step-by-step explanations?)

1) Find the value z of a standard Normal variable that satisfies each of the following conditions. In each case, sketch a standard Normal curve with your value of z marked on the axis. (Round your answers to two decimal places.)

• The point z with 71% of the observations falling below it.
• The point z with 10% of the observations falling above it.
• The point z with 15% of the observations falling below it.

2) The total scores on the Medical College Admission Test (MCAT) follow a Normal distribution with mean 24.2 and standard deviation 7.3.

• What are the median and the first and third quartiles of the MCAT scores? (Round your quartiles to one decimal place.)

median= ?

Q1=?

Q2=?

• Give the interval that contains the central 80% of the MCAT scores. (Round your answers to one decimal place.)

lower bound:

upper bound:

3) What is the mean of the distribution?

What is the approximate standard deviation of this distribution (to the whole number)?

These two questions are based on the picture that I attached below.

Q8 2 Points The figure below shows a Normal curve. -5 -4 -3 -2 -1 0 1 2 3 Q8.1 1 Point What is the mean of this distribution