Answer questions related to central tendency, variability, normal curve, z score, probability, and binomial distribution.
Fifty employees were surveyed on their overall job satisfaction on a scale of 1 (not at all satisfied) to 10 (extremely satisfied). Using the below data, calculate the following:
Job Satisfaction Score | Frequency |
---|---|
10 | 2 |
9 | 8 |
8 | 13 |
7 | 10 |
6 | 7 |
5 | 4 |
4 | 2 |
3 | 2 |
2 | 1 |
1 | 1 |
Given the following data set:
4, 2, 2, 2, 1, 1, 4, 5, 1, 3, 3, 3, 1, 2, 2, 2, 1, 4, 4, 3, 3, 2, 1, 2, 1.
Find the:
Are these scores normally distributed, positively skewed, or negatively skewed? Do you expect the mean to be higher or lower than the median?
Consider the following set of scores taken from a sample of students:
3, 45, 4, 41, 14, 75, 40, 11, 9, 5, 21, 61, 48, 61, 29, 51, 44, 67, 39, 23, 45, 57, 60, 63, 62.
Find the following:
Be sure to show your work.
Consider the mean combined SAT score for high school seniors is 1500, and the standard deviation is 250. Calculate the percentage of students who scored at the following levels:
For homes sold in the past year, the average number of days on the market (DOM) was 266 days. During this time, DOM was normally distributed, with a standard deviation of 12 days. The Carmichaels sold their house in 245 days. Using the Area Under Normal Curve Table document linked in the Resources under the Required Resources heading, what percentage of homeowners:
Consider the following events. If the outcomes are mutually exclusive, type “yes.” If the outcomes are not mutually exclusive, type “no.”
Consider the following events. If the addition theorem applies, type “AT.” If the multiplication theorem applies, type “MT”:
Jane flips a coin 10 times, and each time it lands on heads. What is the probability that the 11th flip will land on heads as well?
You have drawn nine cards. Using the Probability Binomial Table linked in the Resources under the Required Resources heading, calculate the following probabilities:
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