Unit 4 Day 10 Ch. 5 Normal Model Test

4

Two groups of people's weights were recorded so the groups could be compared.

Group A has a mean of 128 lb and standard deviation of 11.4 lb
Group B has a mean of 132 lb and standard deviation of 8.2 lb

We will answer: Is a 130 lb person closer to the average weight (more normal) in group A or group B?

First calculate the z-score for the 130 lb person if they are in group A.

Enter the z-score below. Round to three places past the decimal point.

4

Two groups of people's weights were recorded so the groups could be compared.

Group A has a mean of 128 lb and standard deviation of 11.4 lb
Group B has a mean of 132 lb and standard deviation of 8.2 lb

We will answer: Is a 130 lb person closer to the average weight (more normal) in group A or group B?

Second, calculate the z-score for the 130 lb person if they are in group B.

Enter your answer below. Round to three places past the decimal point.

4

Two groups of people's weights were recorded so the groups could be compared.

Group A has a mean of 128 lb and standard deviation of 11.4 lb
Group B has a mean of 132 lb and standard deviation of 8.2 lb

1. Compared to each group, is a 130 lb person closer to the average weight (more normal) in group A or group B?

2. Explain how you know.

Select both answers below.

4

Two groups of people's weights were recorded so the groups could be compared.

Group A has a mean of 128 lb and standard deviation of 11.4 lb
Group B has a mean of 132 lb and standard deviation of 8.2 lb

In which group are the people closer to the mean?

Select one answer below.

4

At Discount Tire they sell a variety of tires. A certain brand advertised their lifespan in miles follows a nearly normal distribution.
Use the model: N(30,000 miles, 2,000 miles).

If a tire had a z-score of 1.83, how many miles did this tire last?

4

Suppose that a Normal model describes fuel economy (miles per gallon) for automobiles and that a certain model has a standardized score (z-score) of +1.5.

What does this mean regarding this automobile model’s gas mileage?

6

Adult female Dalmatians weigh an average of 50 pounds with a standard deviation of 2.3 pounds.

Adult female Boxers weigh an average of 57.5 pounds with a standard deviation of 1.9 pounds.

One statistics teacher owns an underweight Dalmatian and an underweight Boxer.
The Dalmatian weighs 44 pounds, and the Boxer weighs 52 pounds.

Which dog is more underweight?

1. Use the 'show your work' section to show your calculations and explain why. (4 points)

2. Enter your answer in the space provided. (2 points)

4

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.
Give the Normal Model below using the notation N( , )

13

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.
Use the normal model and the normal curve in the 'show your work' section:

1. enter the corresponding data values in the first row of boxes (7 pts)

2. enter the missing percents in the second row of boxes. (3 pts)

3. enter the percents for our _________________ Rule to show the middle area percents. (3 pts)

4

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.
Use the information from the Normal Model you created in #9. (not Normalcdf or InvNorm)

What percent of the veterinary bills are from $60 to $80?

4

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.
Use the information from the Normal Model you created in #9. (not Normalcdf or InvNorm)

What is the range of the middle 95% of the veterinary bills?
Use the form: ($10, $15)

4

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.
Use the information from the Normal Model you created in #9. (not Normalcdf or InvNorm)

What percent of the veterinary bills are between $20 and $140?

4

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.
Use the information from the Normal Model you created in #9. (not Normalcdf or InvNorm)

What percent of the veterinary bills are between $40 and $100?

4

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.

Use your TI-84 Calculator, 2nd, Vars and either Normalcdf( OR InvNorm(

What percent of the veterinary bills were less than $55?
Enter your answer below.
Round your percent answer to one place past the decimal.

4

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.

Calculate the z-score for veterinary bills that cost $55 and shade the corresponding area for veterinary bills less than $55 in the 'show your work' section.

4

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.
Use your TI-84 Calculator, 2nd, Vars and either Normalcdf( OR InvNorm(

What was the cutpoint price of veterinary bills in the top 3%?
Enter your answer below.
Round your answer to two places past the decimal since this is money.

4

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.

Calculate the z-score for the veterinary bills in the top 3% and shade the corresponding area using the 'show your work' section.

4

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.
Use your TI-84 Calculator, 2nd, Vars and either Normalcdf( OR InvNorm(

What percent of the veterinary bills were between $25 and $65?

Enter your answer below.
Round your percent answer to one place past the decimal.

4

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.
Use your TI-84 Calculator, 2nd, Vars and either Normalcdf( OR InvNorm(

What is the 95th percentile of veterinary bills?
Enter your answer below.
Round your answer to 2 places past the decimal since this is money.

4

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.
Use your TI-84 Calculator, 2nd, Vars and either Normalcdf( OR InvNorm(

Is it unusual to have a veterinary bill for $125?
Explain your reasoning with the statistical information that we have been using in class.

4

A machine that fills cans with soda fills according to a Normal model with mean 12.1 ounces and standard deviation 0.05 ounces.
Use your TI-84 Calculator, 2nd, Vars and either Normalcdf( OR InvNorm(

If the cans claim to have 12 ounces of soda each, what percent of cans are under-filled using the normal model?
Round your percent answer to one place past the decimal.

4

A machine that fills cans with soda fills according to a Normal model with mean 12.1 ounces and standard deviation 0.05 ounces.

What does it mean in this context to change the standard deviation so it is lower?
(a smaller number, such as s=.01)
Hint: What would the result be in terms of the performance of the machine and the fill of the cans?

Unit 4 Day 10 Ch. 5 Normal Model Test

Two groups of people's weights were recorded so the groups could be compared.Group A has a mean of 128 lb and standard deviation of 11.4 lbGroup B has a mean of 132 lb and standard deviation of 8.2 lbIn which group are the people closer to the mean?Select one answer below.

At Discount Tire they sell a variety of tires. A certain brand advertised their lifespan in miles follows a nearly normal distribution.Use the model: N(30,000 miles, 2,000 miles).If a tire had a z-score of 1.83, how many miles did this tire last?

Suppose that a Normal model describes fuel economy (miles per gallon) for automobiles and that a certain model has a standardized score (z-score) of +1.5. What does this mean regarding this automobile model’s gas mileage?

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.Give the Normal Model below using the notation N( , )

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.Use the information from the Normal Model you created in #9. (not Normalcdf or InvNorm)What percent of the veterinary bills are from $60 to $80?

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.Use the information from the Normal Model you created in #9. (not Normalcdf or InvNorm)What percent of the veterinary bills are between $20 and $140?

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.Use the information from the Normal Model you created in #9. (not Normalcdf or InvNorm)What percent of the veterinary bills are between $40 and $100?

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.Calculate the z-score for veterinary bills that cost $55 and shade the corresponding area for veterinary bills less than $55 in the 'show your work' section.

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.Calculate the z-score for the veterinary bills in the top 3% and shade the corresponding area using the 'show your work' section.

Two groups of people's weights were recorded so the groups could be compared.Group A has a mean of 128 lb and standard deviation of 11.4 lbGroup B has a mean of 132 lb and standard deviation of 8.2 lbIn which group are the people closer to the mean?Select one answer below.

At Discount Tire they sell a variety of tires. A certain brand advertised their lifespan in miles follows a nearly normal distribution.Use the model: N(30,000 miles, 2,000 miles).If a tire had a z-score of 1.83, how many miles did this tire last?

Suppose that a Normal model describes fuel economy (miles per gallon) for automobiles and that a certain model has a standardized score (z-score) of +1.5. What does this mean regarding this automobile model’s gas mileage?

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.Give the Normal Model below using the notation N( , )

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.Use the information from the Normal Model you created in #9. (not Normalcdf or InvNorm)What percent of the veterinary bills are from $60 to $80?

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.Use the information from the Normal Model you created in #9. (not Normalcdf or InvNorm)What percent of the veterinary bills are between $20 and $140?

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.Use the information from the Normal Model you created in #9. (not Normalcdf or InvNorm)What percent of the veterinary bills are between $40 and $100?

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.Calculate the z-score for veterinary bills that cost $55 and shade the corresponding area for veterinary bills less than $55 in the 'show your work' section.

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.Calculate the z-score for the veterinary bills in the top 3% and shade the corresponding area using the 'show your work' section.

Two groups of people's weights were recorded so the groups could be compared.

Group A has a mean of 128 lb and standard deviation of 11.4 lb
Group B has a mean of 132 lb and standard deviation of 8.2 lb

In which group are the people closer to the mean?

Select one answer below.

At Discount Tire they sell a variety of tires. A certain brand advertised their lifespan in miles follows a nearly normal distribution.
Use the model: N(30,000 miles, 2,000 miles).

If a tire had a z-score of 1.83, how many miles did this tire last?

Suppose that a Normal model describes fuel economy (miles per gallon) for automobiles and that a certain model has a standardized score (z-score) of +1.5.

What does this mean regarding this automobile model’s gas mileage?

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.
Give the Normal Model below using the notation N( , )

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.
Use the information from the Normal Model you created in #9. (not Normalcdf or InvNorm)

What percent of the veterinary bills are from $60 to $80?

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.
Use the information from the Normal Model you created in #9. (not Normalcdf or InvNorm)

What percent of the veterinary bills are between $20 and $140?

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.
Use the information from the Normal Model you created in #9. (not Normalcdf or InvNorm)

What percent of the veterinary bills are between $40 and $100?

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.

Calculate the z-score for veterinary bills that cost $55 and shade the corresponding area for veterinary bills less than $55 in the 'show your work' section.

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.

Calculate the z-score for the veterinary bills in the top 3% and shade the corresponding area using the 'show your work' section.

Two groups of people's weights were recorded so the groups could be compared.

Group A has a mean of 128 lb and standard deviation of 11.4 lb
Group B has a mean of 132 lb and standard deviation of 8.2 lb

In which group are the people closer to the mean?

Select one answer below.

At Discount Tire they sell a variety of tires. A certain brand advertised their lifespan in miles follows a nearly normal distribution.
Use the model: N(30,000 miles, 2,000 miles).

If a tire had a z-score of 1.83, how many miles did this tire last?

Suppose that a Normal model describes fuel economy (miles per gallon) for automobiles and that a certain model has a standardized score (z-score) of +1.5.

What does this mean regarding this automobile model’s gas mileage?

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.
Give the Normal Model below using the notation N( , )

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.
Use the information from the Normal Model you created in #9. (not Normalcdf or InvNorm)

What percent of the veterinary bills are from $60 to $80?

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.
Use the information from the Normal Model you created in #9. (not Normalcdf or InvNorm)

What percent of the veterinary bills are between $20 and $140?

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.
Use the information from the Normal Model you created in #9. (not Normalcdf or InvNorm)

What percent of the veterinary bills are between $40 and $100?

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.

Calculate the z-score for veterinary bills that cost $55 and shade the corresponding area for veterinary bills less than $55 in the 'show your work' section.

Costs for standard veterinary services at a local animal hospital follow a Normal model with a mean of $80 and a standard deviation of $20.

Calculate the z-score for the veterinary bills in the top 3% and shade the corresponding area using the 'show your work' section.