### Recent Question/Assignment

*1 Paints possible: 1. Total attempts: 1
If A' represents a random variable coming from a normal distribution with m P(A' 6.7) = 0.37, then P(5 X 6.7) - 0.13.
|O True
O False
#2 Points possible: 1. Total attempts: 1
IfX represents a random variable coming from a normal distribution and P{X then P(X 11) = 0.36 .
0 True
O False
#3 Points possible: 1. Total attempts: 3
Which of the following statements are TRUE about the normal distribution? Check all that apply.
Cr ^The Empirical Rule only applies when a value is exactly 1, 2, or 3 standard deviations away from the mean.
/-* A data value with z-score = -1.5 is located 1-5 standard deviations below the mean.
LJ The mean corresponds to the z-score of 1. ¦
A z-score is the number of standard deviations a specific data value is from the mean of the distribution. j
ip The area to the left of a z-score plus the area to the right of that same z-score will always equal 1.
I
T
Points possible: L Total attempts: 1
If a distribution is normal with mean 12 and standard deviation 2. then die median is also 12.
OTrue
O False
#5 Points possible: 1. Total attempts: 3
In an Algebra class, the scores on a test are normally distributed. The middle 68% of the scores fall between 67 and 83. What are the mean and standard deviation Ibr this data?
Standard Normal Curve|
Mean:____________
Standard Deviation:
#6 Points possible: 1. Total attempts: 3
A set of exam scores is normally distributed with a mean = 82 and standard deviation ~ 9.
Use the Empirical Rule to answer the following questions.
95% of the data values lie between and .
% of the exam scores are less than or equal to 82.
¥ % of the exam scores are less than or equal to 73.
% of the exam scores are less than or equal to 100.
I
% of the exam scores are less than or equal to 91.
#7 Points possible: 1. Total attempts: 3
ft
A set of exam scores is normally distributed with a mean = 80 and standard deviation x 7. Use the Empirical Rule to complete the following sentences.
68% of the scores are between and
¦
95% of the scores are between and
99.7% of the scores are between unj
Points possible: 1. Total attempts: 3
In a normal distribution. a data value located 0.8 standard deviations below the mean has Standard Score: z *=
In a normal distribution. a data value located 2.4 standard deviations above the mean has Standard Score: z «
in a normal distribution, the mean has Standard Score: z = _______
#9 Points possible: 1. Total attempts: 3
Malik and Julio began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Malik took a test in Social Studies and earned a 71, and Julio took a test in English and earned a 66.2. Use the fact that all the students' test grades in the Social Studies class had a mean of 73.2 and a standard deviation of 9.3, and all the students' test grades in English had a mean of 64.2 and a standard deviation of 8.6 to answer the following questions.
a) Calculate the z-score for Malik's test grade.
b) Calculate the z-score for Julio's test grade.