Lesson 5.6 Normal Distribution Calculations Practice cloned 2/21/2023

Required

7

The distribution of speed follows an approximately Normal distribution with a mean of 80 mph and a standard deviation of 7.7 mph.
Use the 'show your work' section to put in the Delorean speeds under the axis for the Normal Distribution Model.

Required

1

Give the notation for the Normal model using the Delorean Speed information above.
Use the format: N(mean, std dev)

Required

1

Using the 68-95-99.7 Rule & your flip book:
What percent of the runs will give the Delorean a speed greater than 87.7 mph?

THEN shade in the probability area you are calculating in the 'show your work area'.

Required

1

Using the 68-95-99.7 Rule & your flip book:
What percent of the runs will give the Delorean a speed between 64.6 mph and 87.7 mph?

THEN Shade in the probability area that you are calculating in the 'show your work' area.

Required

2

What percent of the runs will give the Delorean a speed less than 68.45 mph?
First: what is the z-score for 68.45? _______ 
Second: answer,
what is the proportion of runs that will give the Delorean a speed less than 68.45 mph? _______ 

THEN: Shade in the probability area that you are calculating in the 'show your work' area.

Required

2

What percent of the runs will give the Delorean a speed greater than 85 mph?
First: what is the z-score for the speed? _______ 
Second: answer, 
What percent of the runs will give the Delorean a speed greater than 85 mph? _______ 

THEN: Shade in the probability area that you are calculating in the 'show your work' area.

Required

6

What percent of the runs will give the Delorean a speed between 70 and 95 mph?
First: what is the z-score for the speed of 70 mph? _______ 
          what is the z-score for the speed of 95 mph? _______ 
Second: what proportion corresponds to 70 mph? _______ 
               what proportion corresponds to 95 mph? _______ 
Third: answer, what will you do with the two proportions? 
                           Add, subtract, multiply or divide? _______ 
What percent of the runs will give the Delorean a speed between 70 and 95 mph? _______ 

THEN: Shade in the probability area that you are calculating in the 'show your work' area.

Required

1

High levels of cholesterol in the blood increase the risk of heart disease. For teenage boys, the distribution of blood cholesterol is approximately normal with mean μ = 151.6 milligrams of cholesterol per deciliter of blood (mg/dl) and standard deviation σ = 25 mg/dl.
What is the Normal model for this situation?
Use the format: N(mean, std. dev.)

Required

2

What proportion of teen boys have cholesterol levels less than 100 mg/dl?
First: what is the z-score for 100 mg/dl? _______ 
Second: What is the proportion? _______ 

THEN:  Shade in the probability area that you are calculating in the 'show your work' area.

Required

4

Cholesterol levels of 200 or higher are considered high for teenagers. 
What percent of teen boys have high cholesterol?
First: what is the z-score for 200 mg/dl? _______ 

Second: What is the proportion to the left of the z-score? _______ 
               What do you need to do with the value to find the proportion higher?
                              Add, subtract, multiply or divide?  _______ 
Third: what is the proportion GREATER than 200 mg/dl? _______ 

THEN: Shade in the probability area that you are calculating in the 'show your work' area.

Required

6

Cholesterol levels between 170 mg/dl and 200 mg/dl are considered borderline high for teenagers. What percent of teen boys have borderline high cholesterol levels?
First: what is the z-score for 170 mg/dl?  _______ 
          what is the z-score for 200 mg/dl?  _______ 
Second: What is the proportion to the left of 170?  _______ 
               What is the proportion to the left of 200?  _______ 

Third: what will you do with the two proportions? Add, subtract, multiply or divide? _______ 
            what percent of teen boys have borderline high cholesterol levels? _______ 

THEN: Shade in the probability area that you are calculating in the 'show your work' area.

Required

2

6th grade STAAR scores were tabulated for Round Rock ISD, the normal model N(1142, 110) was appropriate for the data.
What is the mean? _______ 
What is the standard deviation? _______ 

Required

1

6th grade STAAR scores were tabulated for Round Rock ISD, the normal model N(1142, 110) was appropriate for the data.
If a student scored 1040 on his STAAR test, what was his z-score?
Round your answer to three places past the decimal.

Required

1

6th grade STAAR scores were tabulated for Round Rock ISD, the normal model N(1142, 110) was appropriate for the data.
A student scored 1040 on his STAAR test, you just calculated his z-score.
What does this mean?

Required

1

What does the z-score mean?
Suppose that a Normal model described student scores in a history class.
Francisco has a standardized score (z-score) of +2.5.

This means that Francisco’s score...

Required

2

The heights of Dutch men have a mean of 184 cm and standard deviation of 8 cm. 
Give the notation for the Normal model for the Dutch men: _______ 

The heights of French men have a mean of 174 cm and a standard deviation is 7.1 cm.
Give the notation for the Normal model for the French men: _______ 

Required

1

The heights of Dutch men have a mean of 184 cm and standard deviation of 8 cm.
The heights of French men have a mean of 174 cm and a standard deviation is 7.1 cm.

A French man is 194 cm tall and a Dutch man is 204 cm tall.

What is the z-score for the French man? (round to two places past the decimal point)

Required

1

The heights of Dutch men have a mean of 184 cm and standard deviation of 8 cm.
The heights of French men have a mean of 174 cm and a standard deviation is 7.1 cm.

A French man is 194 cm tall and a Dutch man is 204 cm tall.

What is the z-score for the Dutch man? (round to three places past the decimal point)

Required

2

The heights of Dutch men have a mean of 184 cm and standard deviation of 8 cm.
The heights of French men have a mean of 174 cm and a standard deviation is 7.1 cm.

Who is taller compared to males in their country, a French man who is 194 cm tall
or a Dutch man who is 204 cm tall?

How do you know? Explain clearly using what we have discussed in class about z-scores.

Required

2

The heights of Dutch men have a mean of 184 cm and standard deviation of 8 cm. 

A Dutch man was 178.2 cm tall, what is his z-score? _______ remember to round z score to 2 places
What proportion of Dutch men is he taller than? _______ 

Required

2

The heights of Dutch men have a mean of 184 cm and standard deviation of 8 cm. 

A Dutch man was 178.2 cm tall, what is his z-score? _______ remember to round z score to 2 places
What proportion of Dutch men is he taller than? _______ 

Required

5

The heights of Dutch men have a mean of 184 cm and standard deviation of 8 cm. 

What is the probability of randomly choosing a Dutch man between 173.5 and 193.5 cm? 
What is the z-score for 173.5 cm? _______ remember to round z score to 2 places
What is the z-score for 193.5 cm? _______ remember to round z-score to 2 places

What is the probability of choosing a Dutch man less than 173.5 cm? _______ 
What is the probability of choosing a Dutch man less than 193.5 cm? _______ 

What is the probability of randomly choosing a Dutch man between 173.5 and 193.5 cm?  _______ 

Required

3

The heights of Dutch men have a mean of 184 cm and standard deviation of 8 cm.
What is the probability of randomly choosing a Dutch man over 203.8 cm tall? 

First: What is the z-score for 203.8 cm?  _______  remember to round z score to 2 places
Second: What is the probability of choosing a Dutch man 203.8 cm tall or less?  _______ 
NOW: What is the probability of choosing a Dutch man over 203.8 cm tall?  _______ 

(This is the same as 203.8 cm tall or more.)

Required

3

You just found the probability of randomly choosing a Dutch man over 203.8 cm tall.
Using the z-score and the probability, would you say this is an unusual height for a Dutch man?
Explain why or why not. Select both answers.

Lesson 5.6 Normal Distribution Calculations Practice cloned 2/21/2023

The distribution of speed follows an approximately Normal distribution with a mean of 80 mph and a standard deviation of 7.7 mph. Use the 'show your work' section to put in the Delorean speeds under the axis for the Normal Distribution Model.

Give the notation for the Normal model using the Delorean Speed information above.Use the format: N(mean, std dev)

Using the 68-95-99.7 Rule & your flip book:What percent of the runs will give the Delorean a speed greater than 87.7 mph?THEN shade in the probability area you are calculating in the 'show your work area'.

Using the 68-95-99.7 Rule & your flip book:What percent of the runs will give the Delorean a speed between 64.6 mph and 87.7 mph?THEN Shade in the probability area that you are calculating in the 'show your work' area.

6th grade STAAR scores were tabulated for Round Rock ISD, the normal model N(1142, 110) was appropriate for the data.If a student scored 1040 on his STAAR test, what was his z-score?Round your answer to three places past the decimal.

6th grade STAAR scores were tabulated for Round Rock ISD, the normal model N(1142, 110) was appropriate for the data.A student scored 1040 on his STAAR test, you just calculated his z-score. What does this mean?

What does the z-score mean?Suppose that a Normal model described student scores in a history class. Francisco has a standardized score (z-score) of +2.5. This means that Francisco’s score...

You just found the probability of randomly choosing a Dutch man over 203.8 cm tall.Using the z-score and the probability, would you say this is an unusual height for a Dutch man?Explain why or why not. Select both answers.

The distribution of speed follows an approximately Normal distribution with a mean of 80 mph and a standard deviation of 7.7 mph. Use the 'show your work' section to put in the Delorean speeds under the axis for the Normal Distribution Model.

Give the notation for the Normal model using the Delorean Speed information above.Use the format: N(mean, std dev)

Using the 68-95-99.7 Rule & your flip book:What percent of the runs will give the Delorean a speed greater than 87.7 mph?THEN shade in the probability area you are calculating in the 'show your work area'.

Using the 68-95-99.7 Rule & your flip book:What percent of the runs will give the Delorean a speed between 64.6 mph and 87.7 mph?THEN Shade in the probability area that you are calculating in the 'show your work' area.

6th grade STAAR scores were tabulated for Round Rock ISD, the normal model N(1142, 110) was appropriate for the data.If a student scored 1040 on his STAAR test, what was his z-score?Round your answer to three places past the decimal.

6th grade STAAR scores were tabulated for Round Rock ISD, the normal model N(1142, 110) was appropriate for the data.A student scored 1040 on his STAAR test, you just calculated his z-score. What does this mean?

What does the z-score mean?Suppose that a Normal model described student scores in a history class. Francisco has a standardized score (z-score) of +2.5. This means that Francisco’s score...

You just found the probability of randomly choosing a Dutch man over 203.8 cm tall.Using the z-score and the probability, would you say this is an unusual height for a Dutch man?Explain why or why not. Select both answers.

The distribution of speed follows an approximately Normal distribution with a mean of 80 mph and a standard deviation of 7.7 mph.
Use the 'show your work' section to put in the Delorean speeds under the axis for the Normal Distribution Model.

Give the notation for the Normal model using the Delorean Speed information above.
Use the format: N(mean, std dev)

Using the 68-95-99.7 Rule & your flip book:
What percent of the runs will give the Delorean a speed greater than 87.7 mph?

THEN shade in the probability area you are calculating in the 'show your work area'.

Using the 68-95-99.7 Rule & your flip book:
What percent of the runs will give the Delorean a speed between 64.6 mph and 87.7 mph?

THEN Shade in the probability area that you are calculating in the 'show your work' area.

6th grade STAAR scores were tabulated for Round Rock ISD, the normal model N(1142, 110) was appropriate for the data.
If a student scored 1040 on his STAAR test, what was his z-score?
Round your answer to three places past the decimal.

6th grade STAAR scores were tabulated for Round Rock ISD, the normal model N(1142, 110) was appropriate for the data.
A student scored 1040 on his STAAR test, you just calculated his z-score.
What does this mean?

What does the z-score mean?
Suppose that a Normal model described student scores in a history class.
Francisco has a standardized score (z-score) of +2.5.

This means that Francisco’s score...

You just found the probability of randomly choosing a Dutch man over 203.8 cm tall.
Using the z-score and the probability, would you say this is an unusual height for a Dutch man?
Explain why or why not. Select both answers.

The distribution of speed follows an approximately Normal distribution with a mean of 80 mph and a standard deviation of 7.7 mph.
Use the 'show your work' section to put in the Delorean speeds under the axis for the Normal Distribution Model.

Give the notation for the Normal model using the Delorean Speed information above.
Use the format: N(mean, std dev)

Using the 68-95-99.7 Rule & your flip book:
What percent of the runs will give the Delorean a speed greater than 87.7 mph?

THEN shade in the probability area you are calculating in the 'show your work area'.

Using the 68-95-99.7 Rule & your flip book:
What percent of the runs will give the Delorean a speed between 64.6 mph and 87.7 mph?

THEN Shade in the probability area that you are calculating in the 'show your work' area.

6th grade STAAR scores were tabulated for Round Rock ISD, the normal model N(1142, 110) was appropriate for the data.
If a student scored 1040 on his STAAR test, what was his z-score?
Round your answer to three places past the decimal.

6th grade STAAR scores were tabulated for Round Rock ISD, the normal model N(1142, 110) was appropriate for the data.
A student scored 1040 on his STAAR test, you just calculated his z-score.
What does this mean?

What does the z-score mean?
Suppose that a Normal model described student scores in a history class.
Francisco has a standardized score (z-score) of +2.5.

This means that Francisco’s score...

You just found the probability of randomly choosing a Dutch man over 203.8 cm tall.
Using the z-score and the probability, would you say this is an unusual height for a Dutch man?
Explain why or why not. Select both answers.