Question

Directions: Complete each of the following problems. Be sure to show your work in order to receive full or partial credit. Calculators are allowed along with 1 page (1 side) of notes any any necessary statistical tables.

1. (True / False) Estimating parameters and testing hypotheses are two important aspects of descriptive statistics.

2. (True / False) A statistic is calculated from a population and a parameter is calculated from a sample.  

3. (True / False) Descriptive statistics include visual display of data, measures of central tendency, and dispersion.

What type of data (attribute, discrete numerical, continuous numerical) is each of the following variables:

4. ______________________ The manufacturer of your laptop computer

5. ______________________ The number of tickets in a movie theater

Which level of data (nominal, ordinal, interval, ratio) is each of the following variables?

6. ______________________ Your social security number

7. ______________________ Temperature in degrees Celsius

8. 1,000 names are selected from a phone book containing 50,000 people by choosing every 50^th name. Which sampling method is this?

A) Simple random sample.

B) Systematic sample.

C) Stratified sample.

D) Cluster sample.

9.From its 32 regions, the F.A.A. selects 6 regions, and then randomly audits 25 departing commercial flights in each region for compliance with legal fuel and weight requirements. This is an example of

A) simple random sampling.

B) stratified random sampling.

C) cluster sampling.

D) judgment sampling.

10. Suppose we want to estimate vaccination rates among employees in state government, and we know that our target population is 55 percent male and 45 percent female. Our budget only allows a sample size of 200. We randomly sample 110 males and 90 females. This is an example of

A) simple random sampling.

B) stratified random sampling.

C) cluster sampling.

D) judgment sampling.

11. In 2018, the mean per capita expenditures on public libraries for all 50 states was 18 with a standard deviation of 5. The data follow a bell-shaped curve.

      a.    According to the empirical rule, what percentage of the expenditures should fall between 13 and 23? ________________

2. Within what interval should approximately 99.7% of the expenditures fall? _________________

12. Find the standard normal area under the curve for each of the following

P(–1.22 < Z < 2.15)    __________________

P(Z > 2.00) __________________

Answer 1