Quiz about AA C&C Unit 1 Test REVIEW - Descriptive & Inferential Statistics

Question 1

Use z-scores and the standard normal table to find the proportion for the following scenario.

A set of average city temperatures in May are normally distributed with a mean of $$69.2\degree\ F$$ and a standard deviation of $$30\degree\ F$$ . The average temperature of Singapore is $$78.8\degree\ F$$ . What proportion of average city temperatures are HIGHER than that of Singapore?

Accepted Answer

0.3745

Answer

0.32

Answer

0.6255

Answer

76.493

Answer

0.7052

Question 2

The lifespans of tigers in a particular zoo are normally distributed. The average tiger lives 22.4 years; the standard deviation is 2.7 years.

Which curve depicts the probability of a tiger living between 17 and 25.1 years?

Accepted Answer

Question 3

Is the following research topic is best addressed through an experiment or an observational study?

Topic: Does exposure to x-rays affect vision?

Accepted Answer

The scenario involves an unethical to risk. It's best to perform an observational study

Answer

The scenario involves an unethical to risk. It's best to perform an experiment

Answer

The scenario can be run without causing harm. Perform an experiment

Answer

The scenario can be run without causing harm. Perform an observational study.

Question 4

You have found the ages of all employees at a local movie theater to be

{16, 44, 18, 19, 23}

Which shows the correct work for finding the variance of the employee's ages?

Accepted Answer

$$\frac{\left(16-24\right)^2+\left(44-24\right)^2+\left(18-24\right)^2+\left(19-24\right)^2+\left(23-24\right)^2}{5}$$

Answer

$$\frac{\left(16+24\right)^2-\left(44+24\right)^2-\left(18+24\right)^2-\left(19+24\right)^2-\left(23+24\right)^2}{5}$$

Answer

$$\frac{\left(24-16\right)^2+\left(24-44\right)^2+\left(24-18\right)^2+\left(24-19\right)^2+\left(24-23\right)^2}{5}$$

Answer

$$\frac{\left(16-24\right)^2+\left(44-24\right)^2+\left(18-24\right)^2+\left(19-24\right)^2+\left(23-24\right)^2}{19}$$

Question 5

Choose the box plot and statistics that match the given data set:

{16, 16, 16, 20, 21, 21, 23, 25, 26, 26, 28, 28}

*Check all that apply

Accepted Answer

Min = 16

Q₁ = 18

Q₂ = 22

Q₃= 26

IQR = 8

Max = 28

Accepted Answer

Answer

Min = 16

Q₁ = 18

Q₂ = 23

Q₃= 26

IQR = 7

Max = 28

Question 6

Find the standard deviation of the given data set:

{32, 27, 20, 29}

*Choose all that apply

Accepted Answer

$$\sqrt[]{\frac{\left(32-27\right)^2+\left(27-27\right)^2+\left(20-27\right)^2+\left(29-27\right)^2}{4}}$$

Accepted Answer

$$\sqrt[]{19.5}$$

Accepted Answer

$$\approx4.42$$

Answer

$$\frac{78}{4}$$

Answer

$$\frac{\left(32-27\right)^2+\left(27-27\right)^2+\left(20-27\right)^2+\left(29-27\right)^2}{4}$$

AA C&C Unit 1 Test REVIEW - Descriptive & Inferential Statistics

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