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Question 1 P( -1 < Z < 1) = options: 0 0.95 0.68 0.997 Question 2 The average salary of a new graduate(X) is $50,000

Question 1

P( -1 < Z < 1) =

options:

  • 0
  • 0.95
  • 0.68
  • 0.997

Question 2

The average salary of a new graduate(X) is $50,000 with a standard deviation of $6,000. If we assume a normal distribution then which of the following is correct?

options:

  • X ~ N( 0,1)
  • X ~ N ( 50000, 6000)
  • X ~ N (6000, 50000)

Question 3

If everyone's salary decreased by 10%. Which of these would change?

options:

  • standard deviation
  • both mean and standard deviation would NOT change, they would stay the same.
  • both mean and standard deviation
  • mean

Question 4

it is known that Z~N(0,1)

Find P( 0< Z < 2 ) =

options:

  • 2.5%
  • 95%
  • 27%
  • 47.5%
  • 68%
  • 13.5%

Question 5

the symbol represents:

options:

  • population mean
  • population standard deviation
  • sample standard deviation
  • sample mean

Question 6

Round to 4 d.p.

P( Z > 2.47) = [____]

Question 7

Find the Z score for the 75th percentile. Z =

Round Z scores to 2 d.p,

Question 8

Grades are normally distributed with a mean of 75 and a standard deviation of 8. Calculate the Z score of a student who got an 81. Z =

Question 9

Grades are normally distributed with a mean of 75 and a standard deviation of 8.

What is the probability a student passes (60 or higher). P(X>60) = [____] round to 4 d.p.

Question 10

Grades are normally distributed with a mean of 75 and a standard deviation of 8. The top 10% of students scored [____] or higher. round final answer to 1 d.p.

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