Question 1

Which of the following best describes the population in the context of the survey about releasing prisoners with Alzheimer's?

Accepted Answer

All Americans

Question 2

What type of data is represented by the height of horses at a state fair?

Accepted Answer

Quantitative Continuous

Question 3

A researcher selects every 8th house in a neighborhood for a survey. What sampling method is this?

Accepted Answer

Systematic

Question 4

Refer to the histogram of exam scores. What is the mode of the distribution?

Accepted Answer

61-70

Question 5

Based on the histogram of exam scores, what is the shape of the distribution?

Accepted Answer

Symmetric

Question 6

Given the regression equation $$y = -0.2401x + 534.1896$$, what does the slope represent in the context of Olympic swimming times?

Accepted Answer

The average decrease in time per year

Question 7

If the probability that a peanut M&M is blue is 0.23, what is the probability that a randomly selected peanut M&M is not blue or orange?

Accepted Answer

$$1 - (0.23 + 0.23) = 0.54$$

Question 8

Suppose the grades from a homework assignment are uniformly distributed between 55 and 95. What is the probability that a grade is between 70 and 85?

Accepted Answer

$$\frac{85-70}{95-55} = 0.375$$

Question 9

The percentage of fat calories consumed daily is normally distributed with mean 36 and standard deviation 10. What is the probability that a person consumes between 26 and 56 fat calories? (Use the Empirical Rule)

Accepted Answer

Approximately 0.954

Question 10

A sample of 36 bags of candy has a mean weight of 5 oz and a standard deviation of 0.12 oz. What is the standard deviation of the sample mean?

Accepted Answer

$$\frac{0.12}{\sqrt{36}} = 0.02$$

Question 11

In a hypothesis test, if the p-value is less than the significance level $$\alpha$$, what should you conclude?

Accepted Answer

Reject the null hypothesis

Question 12

A bag contains 6 red and 4 green marbles. What is the probability of drawing a green marble?

Accepted Answer

$$\frac{4}{10}$$

Question 13

Which of the following is the correct null hypothesis for testing if the average amount spent on gasoline in Onondaga County is more than $32?

Accepted Answer

$$H_0$$: \mu = 32$$

Question 14

A store has 116 hats: 39 black, 43 blue, and 34 red. What is the probability of randomly selecting a red hat?

Accepted Answer

$$\frac{34}{116}$$

Question 15

If the correlation coefficient for Olympic swimming times is approximately -0.98, what does this indicate?

Accepted Answer

A strong negative linear relationship

Question 16

Given a normal distribution with mean $$\mu = 36$$ and $$\sigma = 10$$, what is the standard deviation of the sample mean for a sample of size 25?

Accepted Answer

$$\frac{10}{\sqrt{25}} = 2$$

Question 17

If a 92% confidence interval for a population proportion is calculated as (0.527, 0.673), what does this mean?

Accepted Answer

We are 92% confident that the true proportion is between 0.527 and 0.673

Question 18

Which sampling method is used when all students in five randomly selected majors are surveyed?

Accepted Answer

Cluster sampling

Question 19

If the probability of a peanut M&M being red is 0.12 and blue is 0.23, what is the probability of selecting a red or blue M&M?

Accepted Answer

$$0.12 + 0.23 = 0.35$$

MAT 118 Final Exam Review – Statistics Study Guidance

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