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WGU Applied Probability and Statistics (FZO1 C955) Sample Questions:

1. A team of scientists wants to understand the relationship between smoking and lung cancer. They collect data from 1,000 individuals, recording their smoking habits and whether they have been diagnosed with lung cancer. The scientists then analyze the data to find any correlations.
Is this study observational or experimental?

A) Observational, because the study involves a large sample size.
B) Experimental, because the researchers are testing the effects of smoking on lung cancer.
C) Observational, because the researchers are collecting data without manipulating any variables.
D) Experimental, because the researchers are analyzing the data to find correlations.

2. Central limit theorem states:

A) Sample mean ~ normal for large n
B) Population must be normal
C) SE = 0
D) Sample variance = population variance

3. The average lifespan of a dalmatian is 11.5 years, with a standard deviation of 1.5 years.
What are the two values between which 95% of the data falls for the average lifespan of a dalmatian, assuming a normal distribution?

A) 9.0 years and 14.0 years
B) 10.0 years and 13.0 years
C) 9.5 years and 13.5 years
D) 8.5 years and 14.5 years

4. In a game, a coin is tossed, and a spinner with 8 equal spaces numbered 1 through 8 is spun.
What is the probability of getting heads on the coin and a number less than 3 on the spinner?

A) 1/8
B) 1/2
C) 3/8
D) 1/4

5. A sample of 100 houses was surveyed in each of two states: Georgia and Kansas. Square footages of the houses are summarized by state in the following side-by-side box plots.

What is the interquartile range for house sizes in Georgia?

A) 3000 sq ft
B) 1500 sq ft
C) 2000 sq ft
D) 4500 sq ft

Solutions: