Spring Semester Final Review

• To the nearest hundredth, x ≈ 0.70

• To the nearest hundredth, x ≈ 1.61

• E. To the nearest hundredth, x ≈ 1.84

The annual rainfall totals in a certain city follow a normal distribution, with a mean of 32 inches and a standard deviation of 4 inches. Use the graph of the standard normal distribution to determine which of the statements below are true. Choose all that are correct.

• A. The probability that more than 36 inches of rain will fall in a given year is approximately 32%

• B. The probability that between 30 and 36 inches of rain will fall in a given year is approximately 53%

• C. The probability that less than 24 inches of rain will fall in a given year is approximately 2.3%

• D. The probability that less than 34 inches of rain will fall in a given year is approximately 19%

• E. The probability that between 32 and 40 inches of rain will fall in a given year is approximately 95%

It is determined that for a particular species of tree, the diameter of the trunk is best modeled with a normal distribution that has a mean of 26 inches and a standard deviation of 3 inches. Based on this model, what percentage of trees of this type will have a diameter larger than 25 inches? Round your answer to the nearest tenth of a percent.

• 13.1%

• 19.9%

• 36.9%

• 63.1%

The class average on a statistics exam is 80 with a standard deviation of 4 points. Which of these best represents the percentage of students who scored between 68 and 82 on the exam?

• 34%

• 50%

• 62%

• 69%

Sandy is conducting a survey to determine the percent of students in her school that have been to the zoo or the museum located in her town. She finds that 40% of her classmates have been to the zoo, 30% have been to the museum, and 20% have been to the museum and the zoo. What is the probability that a randomly selected student in Sandy's school has been to either the museum or the zoo in her town?

• 30%

• 50%

• 70%

• 90%

• It increases at a greater rate than the graph of f(x) with increasing x

• It increases at a slower rate than the graph of f(x) with increasing x

The superintendents of two school districts are considering a merger in which the two school districts would become one larger school district. They want to conduct surveys in their districts to determine whether district residents support the merger. For which of the following survey methods could the results be used to accurately determine the level of support among district residents for the merger?

• Call all residents who have school-age children and ask whether or not they support the merger

• Ask residents who attend meetings of the Board of Education whether or not they support the merger

• Randomly call approximately 25% of residents and directly ask whether or not they support the merger

• Provide all residents a form asking whether or not they support the merger and have residents mail in their responses

Which of the following is NOT an accurate statement about statistics?

• In statistics, we use the value of a parameter for a population to make inferences about the value for a random sample of that population.

• In statistics, we use the value of a parameter for a random sample of a population to make inferences about the value for the entire population.

• Statistics allows us to study a random sample of a population without the need to examine the entire population.

• Statistics takes data about a random sample of a population and extrapolates it to the entire population.