Exam (elaborations)
Elementary Statistics (STATs 2023) Actual 2024 Midterm Exam With 100% Correct Answers
- Course
- Elementary Statistics
- Institution
- St. Petersburg College
Elementary Statistics (STATs 2023)
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1.What are the two main branches of statistics? sample statistics and population statistics.
descriptive statistics and inferential statistics.
qualitative statistics and quantitative statistics.
sample statistics and parameter statistics.
2. During a 52week
period, a company paid overtime wages for weeks and hired temporary help for weeks. During
weeks, the company paid overtime and hired temporary help. Complete parts (a) and (b) below.
(a) Are the events "selecting a week that contained overtime wages" and "selecting a week that contained
temporary help
wages" mutually exclusive?
No
Yes
(b) If an auditor randomly examined the payroll records for only one week, what is the probability that the
payroll for that week contained overtime wages or temporary help wages?
P(overtime wages or temporary help wages) = 0.404
(Round to the nearest thousandth as needed.)
3. Decide if the events are mutually exclusive.
Event A: Randomly selecting someone who owns a car
Event B: Randomly selecting a married male
Are the two events mutually exclusive?
Yes, because someone who owns a car can be a married male.
Yes, because someone who owns a car cannot be a married male.
No, because someone who owns a car can be a married male.
No, because someone who owns a car cannot be a married male.
4. The ages of 10 brides at their first marriage are given below.
25.8 28.8 30.5 23.2 43.6 37.8 37.1 28.5 29.7 24.3
The range of the given data set is 20.4. If the current maximum, 43.6 , is replaced with 60.9, the range
then becomes 37.7. Compare these values and determine how outliers affect the range of a data set.
How does changing the maximum value affect the range?
The change in the range is low and unsignificant.
The range becomes more accurate when the maximum value is an outlier.
The range of a data set depends on the number of data, not the specific values. Therefore,
the range does not vary by changing the maximum value.
The range is greatly affected by this change.
5. The ages of the winners of a cycling tournament are approximately bellshaped. The mean age is 28.2
years, with a standard deviation of 3.3 years. The winner in one recent year was 23 years old.
(a) Transform the age to a z-score.
(b) Interpret the results.
(c) Determine whether the age is unusual.
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