# MAT 107 BCCC Class Parameters vs Personal Sample Data Statistics Questions

Sample Data

The resultsfrom the data collection from all last year’s stat classes from Part 1 of the Project is below.  Yourstatistics from Part 1 need to be used as sample data for all the Steps of Part 2.  The parameters below will be used in Steps 2, 3 & 4, along with yours.

Population Mean µ =19.6 (minutes)     Pop. Standard Deviation ? = 10.5 (minutes)(Assume n > 30.)

List Your 30 Data Values from Part 1 of the project.

MAT107 Intro to Statistics Project
INDEX _________
Distracted Study Time
Name_______________________________________
Project Part 2 due on Sat. March 5
Class Parameters vs. Personal Sample Data
The results from the data collection from all last year’s stat classes from Part 1 of the Project is below. Your statistics
from Part 1 need to be used as sample data for all the Steps of Part 2. The parameters below will be used in Steps 2, 3 &
4, along with yours.
Population Mean µ =19.6 (minutes)
Pop. Standard Deviation σ = 10.5 (minutes) (Assume n > 30.)
Your Sample Mean 𝑥̅ = __________ Your Sample Standard Deviation s = _____________
List Your 30 Data Values from Part 1 of the project.
Label a normal curve for your data with mean and 3 standard deviations (from Step 5 of Part 1 of the project), the same
for each question, labeling your axis, as you did at the end of Part 1. Be sure to include a title and units of measure.
Then answer the following questions, drawing pictures (shading appropriately), showing all equations for support.
A. What would be your corresponding x – value to a z-score of – 0.56? What percentage of your focused study times
were at, or less than, that score?
B. What would be your corresponding x – value to a z-score of 2.75? What percentage of your focused study times
were at, or more than, that score?
C. What would be your corresponding x – values to z-scores of – 1 and 2? What percentage of your focused study times
were between those scores?
STEP 2: Sampling Distributions
Using the class (population) parameters, label the axes, calculate the mean of the sampling distribution and the standard
error and label the axes with ±3 standard errors. Be sure to include a title and units of measure. Then answer the
following questions using the drawing (with shading & equations).
A. Given the class parameters, what is the probability the average of your times falling where it did, or below?
B. Given the class parameter, between which two points/times did 68% of the classes’ averages fall?
STEP 3: Confidence Interval
A. Construct a 95% confidence interval for the population’s mean study time.

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