Statistical Truth or Fiction Marjin-O'Heara, a polling and research company, has created a
recommendation report for your company to help with the
design and marketing of a new product. Your company is
looking for a likability score in the general population of at least
5.2, with a confidence level of 95%. You've been called in to
analyze the data and evaluate Marjin-O'Heara's findings.
Your Report Data
1. What company are you working for? Complete the table to
show the statistical information the company has gathered. (2
points: 1 point for the company, 1 point for the information)
Company
CoSport
Blockbuster
Sample size
Sample mean
Standard deviation of the
distribution of sample means,
vn
0.4 (CoSport)
0.6 (Blockbuster)
Creating a Data Model
2. To help evaluate the original report, draw a normal curve for
the data Marjin-O'Heara collected. Include the values of the
mean and the first three standard deviations in your sketch. (4
points: 1 point for the curve, 3 points for correct critical values)
3. The client was hoping for a likability score of at least 5.2. Use
your sample mean and standard deviation identified in the
answer to question 1 to complete the following table for the
margins of error and confidence intervals at different confidence
levels. Note: No further calculations are needed for the sample
mean. (6 points: 2 points for each completed row)
Confidence
level
Margin of
error
Center of
confidence
interval
(sample
mean)
Lower
boundary of
confidence
interval
Upper
boundary of
confidence
interval
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