# MATH 131 SUNY Empire State College Statistics Lab Worksheet Hello,I was wondering if someone would be able to help me with my STATS Homework. This assignme

MATH 131 SUNY Empire State College Statistics Lab Worksheet Hello,I was wondering if someone would be able to help me with my STATS Homework. This assignment involves probability and standard normal distribution. If possible, I would like to have have this assignment completed by tonight. Assignment is attached. Thank you! MATH 131
Lab 5
8/16
The goal of this lab is to standardize data, to compute probabilities using the standard normal
distribution, and to find values given probabilities. For this lab you will use variable V2.
(2 points)
1. Return to Lab 3 to find the values for your V2 variable.
Name of your V2 variable: _______________________________
Data Value (x)
Corresponding z-score (z)
Minimum Value (Min)
Median Value (Med)
Maximum Value (Max)
For the rest of the lab, you will make the assumption that your data is approximately
normally distributed. For some students this is a reasonable assumption; for others, it is not.
(Each of #2 to #5 is 1 point)
2. a) Sketch a normal curve with your value for
as
.
b) Locate your Minimum Value and your Maximum Value on the x axis.
c) Shade the area between the two values.
d) Using z- scores and the values from the Normal Distribution Table (Table 4) find the
e) Find P(Min < x < Max). _______________________________________ 1 MATH 131 Lab 5 8/16 3. a) Sketch a normal curve with your value for as . b) Locate your Median and your Maximum Value on the x axis. c) Shade the area between the two values. d) Using z- scores and the values from the Normal Distribution Table (Table 4) find the shaded area. e) Find P(Med < x < Max). _______________________________________ 4. a) Sketch a normal curve with your value for as . b) Locate your Median on the x axis. c) Shade the area between to the left of this value. d) Using z-score and the value from the Normal Distribution Table (Table 4) find the shaded area. e) Find P(x < Med). _______________________________________ 2 MATH 131 Lab 5 8/16 5. a) Sketch a normal curve with your value for as . b) Locate your Maximum Value on the x axis. c) Shade the area to the right the two value. d) Using z- score and the value from the Normal Distribution Table (Table 4) find the shaded area. e) Find P(x > Max). _______________________________________
(2 points)
6. a) Sketch a normal curve using your value for
.
b) Shade the area where the bottom 10% of your values would be.
c) What is the z – score for this area. ___________________
d) Find the corresponding data value (x) using
.
e) Use this information to fill in the blanks. The first blank should be your name for x.
“10% of all _________________________ in my population are below ____________.”
3
MATH 131
Lab 5
8/16
(2 points)
7. a) Sketch a normal curve using your value for
.
b) Shade the area where the top 5% of your values would be.
c) What is the z – score for this area. ___________________
d) Find the corresponding data value (x) using
.
e) Use this information to fill in the blanks. The first blank should be your name for x.
“5% of all _________________________ in my population are above ____________.”
4

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