Introduction to Statistics and Data Analysis
MAT135 Introduction to Statistics and Data Analysis
Final Exam
Directions: Place all answers in the space provided. Circle all of your answers. Show all work used to arrive at your solution for partial credit consideration.
For the following statements, tell whether descriptive or inferential statistics have been used.
1. _______________ The average life expectancy in New Zealand is 78.49 years. (Source: World Factbook 2004)
2. _______________ A diet high in fruits and vegetables will lower blood pressure. (Institute of Medicine)
3. _______________ The total amount of estimated losses from hurricane Hugo was $4.2 billion. (Insurance Service Office)
Classify each as nominal-level, ordinal-level, interval-level or ratio-level-data
4. ______________ Ratings of movies as G, PG, and R.
5. ______________ Number of candy bars sold on a fund drive.
Give the boundaries for each value.
6. _______________ 48 seconds
7. _______________ .56 centimeter
8. _______________ 9.1 quarts
Classify each as random, systematic, stratified or cluster
9. _______________ To conduct a pre-election opinion poll on a proposed amendment to the state constitution, a random sample of 10 telephone prefixes (first three digits of the phone number) was selected and all house holds from the phone prefixes selected were called
10. _______________ To maintain quality control in a brewery, every 20th bottle of beer coming off the production line was opened and tested.
Distribution of salaries of the ACME Corporation
11. What is the approximate number of employees who earn between $33,000 and $43,000 annually?
12. There are approximately 2,700 employees of ACME Corporation. About what percentage of employees earn over $76,999?
13. The largest percentage of employees earn between $44,000-$54,000. Which 2 salary ranges have roughly an equal amount of employees?
According to the National Bureau of Economic Research, the lengths of business cycles from 1919 to 1995, measured from trough to trough (a trough is the low point) in months, were
61 38 46 50 74 73 98 58
65 44 127 62 74 38 110 57
14. Find the Mean
15. Find the Median
16. Find the Mode
17. Find the Midrange
18. Find the Standard Deviation
19/20. It has been claimed that for samples of size n=10 the range should be roughly three times as large as the standard deviation. Check this claim with reference to the following test scores, which 10 students obtained on an examination: 73, 86, 68, 67, 87, 80, 60, 76, 71, and 82.
When two dice are rolled find the probability of getting:
21. A sum greater than 8
22. A sum that is divisible by 3
A recent study of robberies for a certain geographic area showed an average of 1 robbery per 20,000 people. In a city of 80,000 people, find the probability of the following.
23. 0 robberies
24. 1 robbery
25. 2 robberies
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