Question
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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