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In: Math

1. An engineering firm conducts traffic studies on behalf of companies that want to build a...

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   

Solutions

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