Brookdale Community College Confidence Intervals for Quantitative Data Lab Report I have attached Lab 6 which is the assignment and Lab 3 as well for addit

Brookdale Community College Confidence Intervals for Quantitative Data Lab Report I have attached Lab 6 which is the assignment and Lab 3 as well for additional information needed. Please let me know if you have any other questions. MATH 131
Lab 6
8/16
The goal of this lab is to form confidence intervals for quantitative data (V3) and to determine
an appropriate sample size for a selected error tolerance.
(6 points)
Part 1: Confidence Intervals for Quantitative Data, V3
Name of V3: ________________________________________
A. Using the sample mean and standard deviation from Lab 3, form a 95% confidence
interval for the mean of your population.
B. Use the method discussed in class to write the interval in statement form. It is not
sufficient to write an algebraic inequality. You must write a statement of the form: “I am
95% confident that the actual mean age of U.S. Senators is between 54.2 and 60.1.”
C. Repeat A and B for a 99% confidence interval.
D. State clearly the difference between these two confidence intervals. (Explain which is
wider and why.)
1
MATH 131
Lab 6
(4 points)
8/16
Part 2: Sample Size Determination
A. Based upon your experience with your data, select a “desirable” value for E, the
margin of error. Choose E to be smaller than the E that you computed in
Part 1 A, above.
B. Calculate the minimum sample size required to produce results accurate to a 95%
degree of confidence and margin of error, E. Show your calculations; use your
sample standard deviation as an approximation for the population standard deviation.
C. Write your answer in statement form like “With a sample size of at least 89, I will be
95% confident that my sample mean will be within 1 year of the true mean age of the U.S.
Senators.”
2
MATH 131
Lab 3
8/16
The goal of this lab is to find descriptive statistics for your quantitative data.
Part 1: V2, Quantitative Data
(3 points)
Use the list of all 40 numbers from Lab 1, column V2 for this part of the lab.
Age
A. Identify the name of the quantitative variable V2 that you are using __________________.
B. Use StatCrunch or Minitab to find
Mean
Median
Mode
Standard Deviation
Minimum Value
Maximum Value
Q1
Q3
2423.325
4754
5
2225
C. Using the appropriate numbers from B above, make a box-and-whisker plot for your data.
What does this plot tell you about your data?
is skewed and there are ThsioSmePl0toteehfinfeg.thatmydata
o.W
120
Iz
214
oooo
216
Ig to
312 314 316
138
40 He 4446
(2 Points)
D. Looking at your list in B, list your Minimum, Maximum and Mean data values. List below and
then find the z-score for each.
Data Value, x
Minimum
Maximum
Mean
21
2
z-score (
)
21 24
66
a.us
2
42,5
z
244,2
O
0
E. How do z -scores indicate a data value is above the mean? _______________________.
above
below the mean? _________________________.
belowO
What z -score always corresponds to the mean? ___________________________.
O
1
MATH 131
Lab 3
8/16
(2 Points)
F. Use Chebychev’s Theorem to write a statement about the interval from 2 standard deviations
below the mean to 2 standard deviations above the mean. List the specific interval you used for
your data. Interpret the result in the context of your data.
mean
14 1 2
2
SD 4.54
24
2
4.54
24
Part 2: V3, Quantitative Data
(3 Points)
A. What is the name of your V3 variable? ________________________________
GPA
B. Fill in the values in the chart below using the frequency distribution in Lab 2, Part 3. You may not
need all of the rows below.
C. Use the appropriate values in the table to find the mean for your grouped data.
Show your computations.
2
Data Groups,
using V3
25.2
14 5
Remember
Frequency
Class
Midpoint
28.8
31.5
2
5
38.5
B 85
I
9
g
10
1
D. Use StatCrunch or Minitab to find the mean and standard deviation of the raw data.
(from Lab 1).
E.
mean 3.36
37
SD
Compare the answers in C and D. What accounts for any difference?
The mean in both CtD are close to
Oneanother
StatCrunch directions
Minitab directions
1. Stat
2. Summary stats
3. Columns
1. Stat
2. Basic Stat
3. Display descriptive statistics
2
212.615.2
512.91 14.5
913.428.8
913.51
31.5
1013.85138.5

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