__INSTRUCTIONS: Complete and return ONLY the last one page answer sheet.__

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- Statistic a. Mean, median and mode
- Population b. Likely to occur
- Sample c. Graph of frequency distribution
- Parameter d. Extracting Information
- Quantitative e. P(correct)
- Qualitative f. Involves conditional probability
- Confidence Level g. Likelihood
- Significance Level h. P(A and B) = P(A) x P(B)
- Descriptive Statistics i. Cannot Occur Simultaneously
- Inferential Statistics j. All possible outcomes
- Central Tendency k. Two Independent Outcomes
- Variability l. Statistics Inferring Parameters
- Probability m. Chart Of Class Intervals
- Probability Range n. (nCr)(p^r)[q^(n-r)]
- Random Variable o. 0 £ P(E) £ 1
- Frequency Distribution p. Could occur
- Probable q. P(error)
- Sample Space r. Represents outcomes as numerical values
- Equally Likely Events s. P(A)=P(B)
- Independent Events t. Range, variance and standard deviation
- Binomial Distribution u. Numerical
- Dependent events v. Categorical
- Histogram w. Sample measure
- Mutually Exclusive Events x. Entire Group
- Binomial Experiment y. Population Measure
- Possible z. Subset of population

**II.Answer (T) for True and (F) for False**.

- A measure computed from a sample to describe a characteristic of the population is a statistic.

- Estimating characteristics of the population is the main goal of descriptive statistics.

- A stem-and-leaf display reveals less information relative to individual values than does a histogram.

- The difference between a histogram and a bar chart is that a histogram represents interval data; whereas, a

bar graph represents nominal data.

- The technique of stretching the vertical axis and shrinking the horizontal axis has the effect of making the

slope of a graph visually (but not numerically) steeper.

- Two classifications of statistical descriptions are measures of central tendency and measures of variability.

- A data sample with mean 127, median 122 and mode 134 will be negatively skewed.

- If P(A)=0.84, P(B)=0.76 and P(A or B)=0.90, then P(A and B)=0.6384.

- The coefficient of variation allows us to compare two sets of data based on different measurement units.

- Chebysheff’s theorem only applies to mound shaped data distributions.

- In a sample of 25 with standard deviation 4 the sum of squared deviations from the sample mean is 96.

- The sum of the mean deviations in a data set always equals zero.

- In designing a questionnaire, demographic and open-ended questions must be avoided.

- The wording of a questionnaire may cause nonsampling error.

- Sampling error decreases with an increase in sample size.

- Probability refers to a number between zero and one that expresses the likelihood of an event.

- If P(A)=0.35, P(B)=0.45 and P(A and B)=0.2502, then P(A given B)=0.556.

- The probability of a “certain event” is 1 while the probability of an “impossible event” is 0.

- Two or more events are said to be mutually exclusive whenever they cannot occur simultaneously.

- When events A and B are mutually exclusive and exhaustive, then P(A and B) = 0.

- If R and S are independent events with P(R) = 0.30 and P(S) = 0.50, then P(R or S) = 0.65.

- Two events A and B are independent if P(A and B) = P(A) x P(B).

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- If P(E) = 0.7 then the P(E Complement) = 0.03.

- A relative frequency approach is used to interpret probability statements such as those of meteorologists.

- Suzy and Fran toss a coin over cab fare. The probability that Suzy will pay five days in a row is 0.03125.

- The variance of a data set could be smaller than its standard deviation.

- Given a binomial random variable X with n=10 and p=0.75, the probability that x =5 is 0.058.

- Given a binomial random variable X with n=5 and p=0.4, then P(x is at least 2) is 0.317.

- The mean of a binomial distribution with n=50 and p=0.8 is 8.

- The standard deviation of a binomial distribution with n=100 and p=0.6 is 24.

**III. Use the following sample data to answer 1-16 below**.

X = {181, 206, 168, 163, 162, 184, 253, 162, 166, 165, 168, 150, 195, 200, 225, 166, 174, 166, 186, 178, 250, 241, 212, 171, 190, 260, 172, 183, 169, 174}.

- mean 2. median 3. mode 4. range 5. variance 6. standard deviation 7. midrange 8. Q1
- Q3 10. IQR 11. CV 12. Σ(x-xbar) 13.Σx 14. Σ(x^2) 15.(Σx)^2 16. Σ(x-xbar)^2

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__Bus 3104.E1 Fall 2021 Midterm Exam Answer Sheet__

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**Matching II. True/False III. Fill In The Blank**

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