M5T1 Final Review

Required

2

The table displays the ages of current employees at the Ace software development company.

If you construct a relative frequency histogram for the data, what will be the height of the bar representing the employees who are 30 – 40 years old?

Required

2

Approximately what percent of the data in a normal distribution is between the mean and 1 standard deviation below the mean?

Required

2

The EPA fuel economy estimates for automobile models tested recently predicted a Normal model with a mean of 24.8 mpg and a standard deviation of 6.2 mpg. What percent of cars get less than 20 mpg? Round your answer to the nearest whole percent.

Required

2

On a social studies test, the average score was 75 and the standard deviation was 5. About 16% of the students scored below what test score?

Required

2

If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.5 minutes and a standard deviation of 1 minute, using the Empirical Rule, find the probability that a randomly selected college student will take between 4.5 and 6.5 minutes to find a parking spot in the library parking lot.

Required

2

The weights of a group of 10-year-old boys are normally distributed with a mean of 70 pounds and a standard deviation of 12 pounds. What is the z-score for a 10-year-old boy who weighs 79 pounds?

Required

2

The scores on a standardized test given to juniors are normally distributed with a mean of 21 and a standard deviation of 2.2. Which test score is closest to the 80th percentile? Round to the nearest whole value.

Required

2

Aaron has discovered an error in his credit card bill. The wait times to talk to a supervisor at the credit card company are normally distributed with a mean of 12 minutes and a standard deviation of 1.7 minutes. What is the probability that Aaron will have to wait more than 15 minutes to talk to a supervisor?

Required

2

A herd of adult giraffes has a mean height of 15.7 feet with a standard deviation of 0.6 foot. The heights are normally distributed. What data value has a z-score of -0.82?

Required

2

The scores on a standardized mathematics test are normally distributed with a mean of 500 and a standard deviation of 120. Which situation has a probability of 0.16 of occurring for a randomly selected test score?

A test score less than _______  or a test score more than _______ .

Required

2

Given the Normal curves, a, b, c, and d, determine whether the statement is true or false.

Required

2

The lifetime of a certain type of battery is normally distributed. The battery’s mean lifetime is 56 hours with a standard deviation of 1.4 hours.

PART A: Use the mean and standard deviation to label the intervals on the horizontal axis of the normal curve. Include 3 standard deviations above and below the mean.

_______ _______ _______ _______ _______ _______ _______

Required

1

PART B:
Determine the percentage of batteries with a lifetime between 51.8 and 60.2 hours

Required

1

PART C:

Determine the percentage of batteries with a lifetime less than 51.8 hours.

Required

4

All students who complete the Algebra 2 course at Ridgeway High School take a common final exam. The exam scores are normally distributed with a mean of 69 and a standard deviation of 4. Steve and Kiley are Algebra 2 students who took the final exam. Steve’s score was 78 and Kiley’s score was 62.

a.) Calculate the z-score for each student.
Steve: z=_______ 
Kiley: z= _______ 

b.) What percent of the students had a final exam score lower than Kiley’s score? (Write your answer as a percent.) 
_______ 

c.) What percent of students who took the exam received scores that fell between Steve’s and Kiley’s scores?
_______ 

	True	False
The mean of a is greater than the mean of c.
The standard deviations of all four curves are equal.
The means of all four curves are equal.
The standard deviation of graph d is the smallest

	True	False
The mean of a is greater than the mean of c.
The standard deviations of all four curves are equal.
The means of all four curves are equal.
The standard deviation of graph d is the smallest

M5T1 Final Review

The table displays the ages of current employees at the Ace software development company.If you construct a relative frequency histogram for the data, what will be the height of the bar representing the employees who are 30 – 40 years old?

Approximately what percent of the data in a normal distribution is between the mean and 1 standard deviation below the mean?

The EPA fuel economy estimates for automobile models tested recently predicted a Normal model with a mean of 24.8 mpg and a standard deviation of 6.2 mpg. What percent of cars get less than 20 mpg? Round your answer to the nearest whole percent.

On a social studies test, the average score was 75 and the standard deviation was 5. About 16% of the students scored below what test score?

The weights of a group of 10-year-old boys are normally distributed with a mean of 70 pounds and a standard deviation of 12 pounds. What is the z-score for a 10-year-old boy who weighs 79 pounds?

The scores on a standardized test given to juniors are normally distributed with a mean of 21 and a standard deviation of 2.2. Which test score is closest to the 80th percentile? Round to the nearest whole value.

A herd of adult giraffes has a mean height of 15.7 feet with a standard deviation of 0.6 foot. The heights are normally distributed. What data value has a z-score of -0.82?

Given the Normal curves, a, b, c, and d, determine whether the statement is true or false.

PART B: Determine the percentage of batteries with a lifetime between 51.8 and 60.2 hours

PART C: Determine the percentage of batteries with a lifetime less than 51.8 hours.

The table displays the ages of current employees at the Ace software development company.If you construct a relative frequency histogram for the data, what will be the height of the bar representing the employees who are 30 – 40 years old?

Approximately what percent of the data in a normal distribution is between the mean and 1 standard deviation below the mean?

The EPA fuel economy estimates for automobile models tested recently predicted a Normal model with a mean of 24.8 mpg and a standard deviation of 6.2 mpg. What percent of cars get less than 20 mpg? Round your answer to the nearest whole percent.

On a social studies test, the average score was 75 and the standard deviation was 5. About 16% of the students scored below what test score?

The weights of a group of 10-year-old boys are normally distributed with a mean of 70 pounds and a standard deviation of 12 pounds. What is the z-score for a 10-year-old boy who weighs 79 pounds?

The scores on a standardized test given to juniors are normally distributed with a mean of 21 and a standard deviation of 2.2. Which test score is closest to the 80th percentile? Round to the nearest whole value.

A herd of adult giraffes has a mean height of 15.7 feet with a standard deviation of 0.6 foot. The heights are normally distributed. What data value has a z-score of -0.82?

Given the Normal curves, a, b, c, and d, determine whether the statement is true or false.

PART B: Determine the percentage of batteries with a lifetime between 51.8 and 60.2 hours

PART C: Determine the percentage of batteries with a lifetime less than 51.8 hours.

The table displays the ages of current employees at the Ace software development company.

If you construct a relative frequency histogram for the data, what will be the height of the bar representing the employees who are 30 – 40 years old?

PART B:
Determine the percentage of batteries with a lifetime between 51.8 and 60.2 hours

PART C:

Determine the percentage of batteries with a lifetime less than 51.8 hours.

The table displays the ages of current employees at the Ace software development company.

If you construct a relative frequency histogram for the data, what will be the height of the bar representing the employees who are 30 – 40 years old?

PART B:
Determine the percentage of batteries with a lifetime between 51.8 and 60.2 hours

PART C:

Determine the percentage of batteries with a lifetime less than 51.8 hours.