In: Math
1. An engineering firm conducts traffic studies on behalf of companies that want to build a new store in Miami, Florida. The average cost of these traffic studies is $15,500, and the standard deviation for these costs is $4,250. These costs have a bell-shaped distribution. What is the approximate percentage of these traffic studies that will cost between $2,750 and $19,750?
Enter your answer as a decimal rounded to two places.
2. Calculate the sample variance for the following set of data from a coffee shop. The values represent the amount of money (in dollars) the cash register is short or over after eight randomly selected shifts: -0.72, 0.42, 1.14, -0.81, -0.13, -0.10, -0.17, and 1.19.
Sample variance = dollars2
3. The median for a left-skewed distribution is 68.5. Which of the statements below are correct?
You must make a selection for each option. Click once to place a check mark for correct answers and click twice to empty the box for the wrong answers.
The mode is more than 68.5. | |
The mean is less than 68.5. | |
The mean is more than 68.5. | |
The mean is also 68.5. |
4.
The mean income of a group of sample observations is $500; the standard deviation is $40. According to Chebyshev’s theorem, at least what percent of the incomes will lie between $400 and $600? (Omit the "%" sign in your response.) |
Percent of the incomes | % |
5.
Consider these five values of a population: 7, 3, 6, 3, and 6. |
(a) |
Determine the mean of the population. (Round your answer to 1 decimal place.) |
Arithmetic mean |
(b) |
Determine the variance of the population. (Round your answer to 2 decimal places.) |
Variance |