Unit 4 Day 10 Ch. 5 Re-Test Normal Model

4

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

Group A has a mean of 189 mg/dl and standard deviation of 16.2 mg/dl
Group B has a mean of 209 mg/dl and standard deviation of 18.2 lb

First calculate the z-score for a person with a cholesterol level of 199 mg/dl 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 cholesterol levels were recorded so the groups could be compared.

Group A has a mean of 189 mg/dl and standard deviation of 16.2 mg/dl
Group B has a mean of 209 mg/dl and standard deviation of 8.2 lb

Second, calculate the z-score for the person with a cholesterol level of 199 mg/dl 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. Is a person with the cholesterol level of 199 mg/dl closer to the average cholesterol level (more normal) in group A or group B?

2. Explain how you know.

Select both answers below.

4

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

Group A has a mean of 165 cm and standard deviation of 8.4 cm
Group B has a mean of 171 cm and standard deviation of 9.6 cm

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(45,000 miles, 2,500 miles).

If a tire had a z-score of -1.8, 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 -2.5.

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 pounds with a standard deviation of 1.7 pounds.

One statistics teacher owns an overweight Dalmatian and an underweight Boxer.
The Dalmatian weighs 54 pounds, and the Boxer weighs 52 pounds.

Which dog's weight is more unusual?

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

IQ (Intelligence Quotient) test scores on the WAIS-R (Wechsler Adult Intelligence Scale – Revised) follow a Normal model with mean 100 and standard deviation 15.
Give the Normal Model below using the notation N( , )

13

IQ (Intelligence Quotient) test scores on the WAIS-R (Wechsler Adult Intelligence Scale – Revised) follow a Normal model with mean 100 and standard deviation 15. Draw and clearly label this model.

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

IQ (Intelligence Quotient) test scores on the WAIS-R (Wechsler Adult Intelligence Scale – Revised) follow a Normal model with mean 100 and standard deviation 15.
Use the information from the Normal Model you created in #9. (not Normalcdf or InvNorm)

What percent of the IQ scores are from 70 to 130?

4

IQ (Intelligence Quotient) test scores on the WAIS-R (Wechsler Adult Intelligence Scale – Revised) follow a Normal model with mean 100 and standard deviation 15.
Use the information from the Normal Model you created in #9. (not Normalcdf or InvNorm)

What is the range of the middle 68% of the IQ scores?
Use the form: 10-15

4

IQ (Intelligence Quotient) test scores on the WAIS-R (Wechsler Adult Intelligence Scale – Revised) follow a Normal model with mean 100 and standard deviation 15.
Use the information from the Normal Model you created in #9. (not Normalcdf or InvNorm)

What percent of the IQ scores are between 70 and 115?

4

IQ (Intelligence Quotient) test scores on the WAIS-R (Wechsler Adult Intelligence Scale – Revised) follow a Normal model with mean 100 and standard deviation 15.
Use the information from the Normal Model you created in #9. (not Normalcdf or InvNorm)

What percent of the IQ scores are between 100 and 115?

4

IQ (Intelligence Quotient) test scores on the WAIS-R (Wechsler Adult Intelligence Scale – Revised) follow a Normal model with mean 100 and standard deviation 15.

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

What percent of the IQ scores were greater than 118?
Enter your answer below.
Round your percent answer to one place past the decimal.

4

IQ (Intelligence Quotient) test scores on the WAIS-R (Wechsler Adult Intelligence Scale – Revised) follow a Normal model with mean 100 and standard deviation 15.

Calculate the z-score for IQ scores that are 118 and shade the corresponding area for IQ scores greater than 118 in the 'show your work' section.

4

IQ (Intelligence Quotient) test scores on the WAIS-R (Wechsler Adult Intelligence Scale – Revised) follow a Normal model with mean 100 and standard deviation 15.
Use your TI-84 Calculator, 2nd, Vars and either Normalcdf( OR InvNorm(

What was the cutpoint score for IQ scores in the bottom 5%?
Enter your answer below.
Round your answer to two places past the decimal since this is money.

4

IQ (Intelligence Quotient) test scores on the WAIS-R (Wechsler Adult Intelligence Scale – Revised) follow a Normal model with mean 100 and standard deviation 15.

Calculate the z-score for the IQ scores in the bottom 5% and shade the corresponding area using the 'show your work' section.

4

IQ (Intelligence Quotient) test scores on the WAIS-R (Wechsler Adult Intelligence Scale – Revised) follow a Normal model with mean 100 and standard deviation 15.
Use your TI-84 Calculator, 2nd, Vars and either Normalcdf( OR InvNorm(

What percent of the IQ scores were between 76 and 122?

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

4

IQ (Intelligence Quotient) test scores on the WAIS-R (Wechsler Adult Intelligence Scale – Revised) follow a Normal model with mean 100 and standard deviation 15.
Use your TI-84 Calculator, 2nd, Vars and either Normalcdf( OR InvNorm(

What is the 90th percentile for IQ scores?
Enter your answer below.
Round your answer to 1 place past the decimal.

4

IQ (Intelligence Quotient) test scores on the WAIS-R (Wechsler Adult Intelligence Scale – Revised) follow a Normal model with mean 100 and standard deviation 15.
Use your TI-84 Calculator, 2nd, Vars and either Normalcdf( OR InvNorm(

Is it unusual to have an IQ score of 86?
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 over-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 larger?
(a larger number, such as s=.09)
Hint: What would the result be in terms of the performance of the machine and the consistency regarding fill of the cans?

Unit 4 Day 10 Ch. 5 Re-Test Normal Model

Two groups of people's heights were recorded so the groups could be compared.Group A has a mean of 165 cm and standard deviation of 8.4 cmGroup B has a mean of 171 cm and standard deviation of 9.6 cmIn 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(45,000 miles, 2,500 miles).If a tire had a z-score of -1.8, 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 -2.5. What does this mean regarding this automobile model’s gas mileage?

IQ (Intelligence Quotient) test scores on the WAIS-R (Wechsler Adult Intelligence Scale – Revised) follow a Normal model with mean 100 and standard deviation 15. Give the Normal Model below using the notation N( , )

IQ (Intelligence Quotient) test scores on the WAIS-R (Wechsler Adult Intelligence Scale – Revised) follow a Normal model with mean 100 and standard deviation 15.Calculate the z-score for the IQ scores in the bottom 5% and shade the corresponding area using the 'show your work' section.

Two groups of people's heights were recorded so the groups could be compared.Group A has a mean of 165 cm and standard deviation of 8.4 cmGroup B has a mean of 171 cm and standard deviation of 9.6 cmIn 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(45,000 miles, 2,500 miles).If a tire had a z-score of -1.8, 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 -2.5. What does this mean regarding this automobile model’s gas mileage?

IQ (Intelligence Quotient) test scores on the WAIS-R (Wechsler Adult Intelligence Scale – Revised) follow a Normal model with mean 100 and standard deviation 15. Give the Normal Model below using the notation N( , )

IQ (Intelligence Quotient) test scores on the WAIS-R (Wechsler Adult Intelligence Scale – Revised) follow a Normal model with mean 100 and standard deviation 15.Calculate the z-score for the IQ scores in the bottom 5% and shade the corresponding area using the 'show your work' section.

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

Group A has a mean of 165 cm and standard deviation of 8.4 cm
Group B has a mean of 171 cm and standard deviation of 9.6 cm

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(45,000 miles, 2,500 miles).

If a tire had a z-score of -1.8, 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 -2.5.

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

IQ (Intelligence Quotient) test scores on the WAIS-R (Wechsler Adult Intelligence Scale – Revised) follow a Normal model with mean 100 and standard deviation 15.
Give the Normal Model below using the notation N( , )

IQ (Intelligence Quotient) test scores on the WAIS-R (Wechsler Adult Intelligence Scale – Revised) follow a Normal model with mean 100 and standard deviation 15.

Calculate the z-score for the IQ scores in the bottom 5% and shade the corresponding area using the 'show your work' section.

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

Group A has a mean of 165 cm and standard deviation of 8.4 cm
Group B has a mean of 171 cm and standard deviation of 9.6 cm

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(45,000 miles, 2,500 miles).

If a tire had a z-score of -1.8, 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 -2.5.

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

IQ (Intelligence Quotient) test scores on the WAIS-R (Wechsler Adult Intelligence Scale – Revised) follow a Normal model with mean 100 and standard deviation 15.
Give the Normal Model below using the notation N( , )

IQ (Intelligence Quotient) test scores on the WAIS-R (Wechsler Adult Intelligence Scale – Revised) follow a Normal model with mean 100 and standard deviation 15.

Calculate the z-score for the IQ scores in the bottom 5% and shade the corresponding area using the 'show your work' section.