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

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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.

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

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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'.

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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.

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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.)

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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.

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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?

He scored below the class average, but was still within the middle 68% of the scores.

He scored below the class average, below the middle 68% of the class scores.

He scored above the class average but was still within the middle 68% of the scores.

He scored above the class average, above the middle 68% of the class scores.

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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...

is 2.5 standard deviations above the class average.

is 2.5% above the class average.

is 2.5 points above the class average.

is 2.5 times the class average.

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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)

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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)

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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.

The French man is taller compared to men in his country,

The Dutch man is taller compared to men in his country,

because his z-score is further from the mean of zero.

because his z-score is closer to the mean of zero.

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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.

This is an unusual height for a Dutch man,

This is not an unusual height for a Dutch man,

because the height is more than 2 standard deviations from the mean,

because the height is less than 2 standard deviations from the mean,

and the percentage of people taller than this is very small.

and the percentage of people taller than this is a fairly large amount.

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.