Reference no: EM132844080

1. A recent poll showed that 42% of Americans do not believe in Darwin's Theory of Evolution. If 15 Americans are randomly selected, what is the probability that

a. exactly 5 Americans do not believe in evolution?
b. at least 9 Americans do not believe in evolution?

2. What sampling method (simple random, cluster, stratified, convenience, systematic) is being used in each of the following scenarios:

a. Dependents at two bases are studied in depth to determine satisfaction with command support during transitions throughout the military.

b. All students are given a number and then a random number generator is used to select five hundred of them to take a survey.

c. Every 30th coffee maker is taken off of the assembly line and checked for quality.

d. Students are divided by age and then different groups are randomly selected from each group.

3. Say which level of measure (interval, ordinal, ratio, nominal) is being used and state the center measures that could be used for each of the following:

a. Marital status (single, married, divorced, widowed) of applicants - nominal

b. Distance between two cities - ratio

c. Water temperature measured Fahrenheit - interval

d. Evaluation of performance by poor, fair, good, excellent - ordinal

4. A sample of days at a used car dealership reported the following number of cars sold each day:

5
4
7
3
1
4
3
2
3
9

Calculate the following:

a. Mode (Include the correct units in your answer.)

b. Median (Include the correct units in your answer.)

c. Mean (Include the correct units in your answer.)

d. Range (Include the correct units in your answer.)

e. Standard deviation. (Include the correct units in your answer.)

5. Answer the following:

a. How many results are there for the top 3 horses in a race of 10 horses if the winning horses are categorized by first, second, and third?

b. How many ways are there to select a committee of four people from a group of thirty workers?

c. How many license plates are there that have two letters followed by five digits?

6. A recent poll showed that 42% of Americans do not believe in Darwin's Theory of Evolution. If 15 Americans are randomly selected,

a. What is the probability that exactly 6 Americans do not believe in evolution?

b. What is the probability that at least 9 Americans do not believe in evolution?

7. Say whether the data is qualitative, quantitative discrete, quantitative continuous

a. Weight of a tomatoes sold at the commissary

b. Eye color of students in a statistics class

c. Number of hot dogs sold daily at Nathans in New York City

8. A study of families that have televisions determined the number of televisions per households and their probability. The probability that a family had 1,2,3,4 televisions was 0.32, 0.49, 0.14, and 0.05 respectively.

a. Construct a probability distribution.

b. Draw a graph for the probability distribution.

c. Find the mean (also called the expected value)

d. Find the standard deviation

The amount of juice that a machine puts into a container at a bottling plant is normally distributed with a mean of 11.9 ounces and a standard deviation of 0.3 ounces.

9a. What is the probability of selecting a single container that has between 11.9 and 12.6 ounces of juice?

9b. How much juice is in the fullest 3% of the containers?

9c. If a sample of 20 containers is chosen, what is the probability that the mean amount of juice in the containers is more than 12.0 ounces?