Do not use Chapter 5 Partner Test

Instructions

Get out your half sheet as a helpful reference.
Collaborate with your partner!!
Show your work on notebook paper.

Required

1

Binomial Probability:
Twenty percent of all trucks undergoing a certain inspection will fail the inspection. Assume that 40 trucks are independently undergoing this inspection, one at a time.
The expected number of trucks who fail the inspection is:
Hint: this is the mean

1

Binomial Probability: Use statsmedic.com/applets,  binomial distribution
Twenty percent of all trucks undergoing a certain inspection will fail the inspection. Assume that 40 trucks are independently undergoing this inspection, one at a time. 
What is the probability that exactly 18 trucks will fail inspection?  _______
What is the probability that at least 15 trucks will fail inspection? _______ 
What is the probability that less than 10 trucks will fail inspection? _______ 

Required

1

Binomial Probability:
It is known that 15% of the seniors in a large high school enter military service upon graduation.
If a group of 20 seniors are randomly selected, what is the probability of observing two who will be entering military service?
Which is the correct set up?

Required

1

Which of the following describes the relative positions of the mean and median for a probability distribution of a continuous random variable that is skewed to the left:
Hint- what does the skew do to the mean?

Required

1

Which of the following is the closest percentile to a z-score of 1.67 in the standard normal distribution?

Required

2

The scores on a certain government college exam are normally distributed with mean μ = 80 and standard deviation σ = 4. Duane scores an 86 on this exam.
The scores on an economics college exam are normally distributed with mean μ = 85 and standard deviation σ = 8. Duane scores an 90 on this exam.
Which exam score was better?
Select both correct answers. You are comparing two scores from different distributions, what do we use to compare them?

Required

1

The proportion of pepperoni pizza orders on a randomly selected day at a local pizza shop is approximately normal with mean 0.25 and standard deviation 0.02.
Let X = the proportion of pepperoni pizza orders on a randomly selected day.

Give the notation for the normal model: N(....

Required

12

The proportion of pepperoni pizza orders on a randomly selected day at a local pizza shop is approximately normal with mean 0.25 and standard deviation 0.02. 
Let X = the proportion of pepperoni pizza orders on a randomly selected day.

Carefully sketch a normal curve for this situation in the 'show your work' area. 
Be sure to label the mean and one, two, and three standard deviations on each side of the mean.

What is the z-score for the mean? _______ 

Required

12

The proportion of pepperoni pizza orders on a randomly selected day at a local pizza shop is approximately normal with mean 0.25 and standard deviation 0.02. 
Let X = the proportion of pepperoni pizza orders on a randomly selected day.

Use the 68–95–99.7 rule to approximate:     
(b) P(X > 0.29) =   _______ 
(c) The probability that the data values of pepperoni pizza orders is
between 0.21 and 0.27=  _______ 
(d) The range for the middle 95% of the data values of pepperoni pizza
orders for a randomly selected day=   _______  to _______ 
(e) Data value of pepperoni pizza orders is at the top 0.15% = _______ 
(f) The data value of the pepperoni pizza orders that would be the bottom 16% = _______ 

Required

1

A normal distribution has a mean of 41 and standard deviation of 6.
What percentage of observations will lie between 35 and 47?
Hint: sketch a normal curve with data values to help if needed.

Required

2

Estimate the mean and standard deviation of the normal density curve in the figure.

Mean =   _______ 
Standard deviation = _______ 

Required

1

The heights of a population of men follow a normal distribution, and the middle 99.7% have heights between 60 inches and 84 inches.
What is your estimate of the mean height in this population?
Hint: sketch a normal curve or look at your flipbook.

Required

1

The heights of a population of men follow a normal distribution, and the middle 99.7% have heights between 60 inches and 84 inches.
What is your estimate of the standard deviation of the heights in this population?
Hint: how many standard deviations are in the middle 99.7%?

Required

1

Suppose the current annual salary of all teachers in the United States have a normal distribution with a mean of $51,000 and a standard deviation of $6,000.
Find the range of the middle 68% of the teachers salaries.
Enter your values as a range: Ex. $12,000 - $20,000

Required

2

The speeds of cars are measured using a radar unit, on Highway 35. The speeds are normally distributed with a mean of 67 mph and a standard deviation of 3.2 mph.
What is the probability that a randomly selected car is moving at more than 72 mph?
Enter your answer as a decimal, round to three places past the decimal point.

Required

2

For a certain type of computers, the length of time between charges of the battery is normally distributed with a mean of 50 hours and a standard deviation of 15 hours.
John owns one of these computers and wants to know the probability that the length of time will be between 45 and 70 hours. Enter your answer as a decimal rounded to three places past the decimal point.

Required

2

Professional tennis player Novak Djokovic hits the ball extremely hard. His first-serve speeds follow a normal distribution with mean 112 miles per hour (mph) and standard deviation 6 mph. If you randomly choose one of Djokovic’s first serves at random, let X = its speed, measured in miles per hour.

A first serve with a speed less than 100 miles per hour is considered “slow.”
What percent of Djokovic’s first serves are slow?
Enter your answer as a decimal rounded to three places.

Required

2

Professional tennis player Novak Djokovic hits the ball extremely hard. His first-serve speeds follow a normal distribution with mean 112 miles per hour (mph) and standard deviation 6 mph.

Find the speed for the slowest 15% of Novak Djokovic’s first-serve speeds.
Round your answer to two places past the decimal.

Required

2

Professional tennis player Novak Djokovic hits the ball extremely hard. His first-serve speeds follow a normal distribution with mean 112 miles per hour (mph) and standard deviation 6 mph. Choose one of Djokovic’s first serves at random.
Let X = its speed, measured in miles per hour.

Find the speed for the fastest 5% of Novak Djokovic’s first-serve speeds.
Round your answer to two places past the decimal.

Required

4

A certain variety of pine tree has a mean trunk diameter of 150 cm and a standard deviation of 30 cm.
What proportion of the trees has a diameter smaller than 120 cm? _______ 

Using the proportion from above: if there were 500 pine trees, how many of the trees would have a diameter smaller than 120 cm? _______ 

Required

1

The foot length of women follows a normal distribution with a mean of 23 cm, and 81.5% have a foot length between 20 cm and 29 cm.
What is your estimate of the standard deviation of the heights in this population?
Hint: first figure out how many standard deviations are between 81.5% of the data?

Do not use Chapter 5 Partner Test

Binomial Probability:Twenty percent of all trucks undergoing a certain inspection will fail the inspection. Assume that 40 trucks are independently undergoing this inspection, one at a time. The expected number of trucks who fail the inspection is:Hint: this is the mean

Binomial Probability:It is known that 15% of the seniors in a large high school enter military service upon graduation. If a group of 20 seniors are randomly selected, what is the probability of observing two who will be entering military service?Which is the correct set up?

Which of the following describes the relative positions of the mean and median for a probability distribution of a continuous random variable that is skewed to the left:Hint- what does the skew do to the mean?

Which of the following is the closest percentile to a z-score of 1.67 in the standard normal distribution?

The proportion of pepperoni pizza orders on a randomly selected day at a local pizza shop is approximately normal with mean 0.25 and standard deviation 0.02.Let X = the proportion of pepperoni pizza orders on a randomly selected day.Give the notation for the normal model: N(....

A normal distribution has a mean of 41 and standard deviation of 6. What percentage of observations will lie between 35 and 47?Hint: sketch a normal curve with data values to help if needed.

The heights of a population of men follow a normal distribution, and the middle 99.7% have heights between 60 inches and 84 inches. What is your estimate of the mean height in this population?Hint: sketch a normal curve or look at your flipbook.

The heights of a population of men follow a normal distribution, and the middle 99.7% have heights between 60 inches and 84 inches. What is your estimate of the standard deviation of the heights in this population?Hint: how many standard deviations are in the middle 99.7%?

Suppose the current annual salary of all teachers in the United States have a normal distribution with a mean of $51,000 and a standard deviation of $6,000. Find the range of the middle 68% of the teachers salaries.Enter your values as a range: Ex. $12,000 - $20,000

The foot length of women follows a normal distribution with a mean of 23 cm, and 81.5% have a foot length between 20 cm and 29 cm. What is your estimate of the standard deviation of the heights in this population?Hint: first figure out how many standard deviations are between 81.5% of the data?

Binomial Probability:Twenty percent of all trucks undergoing a certain inspection will fail the inspection. Assume that 40 trucks are independently undergoing this inspection, one at a time. The expected number of trucks who fail the inspection is:Hint: this is the mean

Binomial Probability:It is known that 15% of the seniors in a large high school enter military service upon graduation. If a group of 20 seniors are randomly selected, what is the probability of observing two who will be entering military service?Which is the correct set up?

Which of the following describes the relative positions of the mean and median for a probability distribution of a continuous random variable that is skewed to the left:Hint- what does the skew do to the mean?

Which of the following is the closest percentile to a z-score of 1.67 in the standard normal distribution?

The proportion of pepperoni pizza orders on a randomly selected day at a local pizza shop is approximately normal with mean 0.25 and standard deviation 0.02.Let X = the proportion of pepperoni pizza orders on a randomly selected day.Give the notation for the normal model: N(....

A normal distribution has a mean of 41 and standard deviation of 6. What percentage of observations will lie between 35 and 47?Hint: sketch a normal curve with data values to help if needed.

The heights of a population of men follow a normal distribution, and the middle 99.7% have heights between 60 inches and 84 inches. What is your estimate of the mean height in this population?Hint: sketch a normal curve or look at your flipbook.

The heights of a population of men follow a normal distribution, and the middle 99.7% have heights between 60 inches and 84 inches. What is your estimate of the standard deviation of the heights in this population?Hint: how many standard deviations are in the middle 99.7%?

Suppose the current annual salary of all teachers in the United States have a normal distribution with a mean of $51,000 and a standard deviation of $6,000. Find the range of the middle 68% of the teachers salaries.Enter your values as a range: Ex. $12,000 - $20,000

The foot length of women follows a normal distribution with a mean of 23 cm, and 81.5% have a foot length between 20 cm and 29 cm. What is your estimate of the standard deviation of the heights in this population?Hint: first figure out how many standard deviations are between 81.5% of the data?

Binomial Probability:
Twenty percent of all trucks undergoing a certain inspection will fail the inspection. Assume that 40 trucks are independently undergoing this inspection, one at a time.
The expected number of trucks who fail the inspection is:
Hint: this is the mean

Binomial Probability:
It is known that 15% of the seniors in a large high school enter military service upon graduation.
If a group of 20 seniors are randomly selected, what is the probability of observing two who will be entering military service?
Which is the correct set up?

Which of the following describes the relative positions of the mean and median for a probability distribution of a continuous random variable that is skewed to the left:
Hint- what does the skew do to the mean?

The proportion of pepperoni pizza orders on a randomly selected day at a local pizza shop is approximately normal with mean 0.25 and standard deviation 0.02.
Let X = the proportion of pepperoni pizza orders on a randomly selected day.

Give the notation for the normal model: N(....

A normal distribution has a mean of 41 and standard deviation of 6.
What percentage of observations will lie between 35 and 47?
Hint: sketch a normal curve with data values to help if needed.

The heights of a population of men follow a normal distribution, and the middle 99.7% have heights between 60 inches and 84 inches.
What is your estimate of the mean height in this population?
Hint: sketch a normal curve or look at your flipbook.

The heights of a population of men follow a normal distribution, and the middle 99.7% have heights between 60 inches and 84 inches.
What is your estimate of the standard deviation of the heights in this population?
Hint: how many standard deviations are in the middle 99.7%?

Suppose the current annual salary of all teachers in the United States have a normal distribution with a mean of $51,000 and a standard deviation of $6,000.
Find the range of the middle 68% of the teachers salaries.
Enter your values as a range: Ex. $12,000 - $20,000

The foot length of women follows a normal distribution with a mean of 23 cm, and 81.5% have a foot length between 20 cm and 29 cm.
What is your estimate of the standard deviation of the heights in this population?
Hint: first figure out how many standard deviations are between 81.5% of the data?

Binomial Probability:
Twenty percent of all trucks undergoing a certain inspection will fail the inspection. Assume that 40 trucks are independently undergoing this inspection, one at a time.
The expected number of trucks who fail the inspection is:
Hint: this is the mean

Binomial Probability:
It is known that 15% of the seniors in a large high school enter military service upon graduation.
If a group of 20 seniors are randomly selected, what is the probability of observing two who will be entering military service?
Which is the correct set up?

Which of the following describes the relative positions of the mean and median for a probability distribution of a continuous random variable that is skewed to the left:
Hint- what does the skew do to the mean?

The proportion of pepperoni pizza orders on a randomly selected day at a local pizza shop is approximately normal with mean 0.25 and standard deviation 0.02.
Let X = the proportion of pepperoni pizza orders on a randomly selected day.

Give the notation for the normal model: N(....

A normal distribution has a mean of 41 and standard deviation of 6.
What percentage of observations will lie between 35 and 47?
Hint: sketch a normal curve with data values to help if needed.

The heights of a population of men follow a normal distribution, and the middle 99.7% have heights between 60 inches and 84 inches.
What is your estimate of the mean height in this population?
Hint: sketch a normal curve or look at your flipbook.

The heights of a population of men follow a normal distribution, and the middle 99.7% have heights between 60 inches and 84 inches.
What is your estimate of the standard deviation of the heights in this population?
Hint: how many standard deviations are in the middle 99.7%?

Suppose the current annual salary of all teachers in the United States have a normal distribution with a mean of $51,000 and a standard deviation of $6,000.
Find the range of the middle 68% of the teachers salaries.
Enter your values as a range: Ex. $12,000 - $20,000

The foot length of women follows a normal distribution with a mean of 23 cm, and 81.5% have a foot length between 20 cm and 29 cm.
What is your estimate of the standard deviation of the heights in this population?
Hint: first figure out how many standard deviations are between 81.5% of the data?