Unit 4 Day 5 Quiz #1 Z-score & Normal Model Curve cloned 2/16/2023

4

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.

4

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?

4

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...

4

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 three places past the decimal point)

4

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)

6

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?

Who is taller?

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

12

Suppose the amount of soda in a 12-oz can of soda has a normal distribution with a mean of 12.25 oz and a standard deviation of 0.15 oz.
Use the 'show your work' feature:
1. insert textboxes to label the data values in the first row of boxes below the normal curve.
2. Insert textboxes to label the percentages in the second row of boxes below the normal curve.
3. What is the data value for the 16th percentile?

4

Suppose the amount of soda in a 12-oz can of soda has a normal distribution with a mean of 12.25 oz and a standard deviation of 0.15 oz.

Use the normal model curve data values that you entered in #7.
What data value is the 84th percentile?

4

Suppose the amount of soda in a 12-oz can of soda has a normal distribution with a mean of 12.25 oz and a standard deviation of 0.15 oz.

1. Use the 'show your work' feature, shade the area below the normal model curve to show the central 95% of the data values.
2. Between what two z-scores is the central 95% of the data values?

4

Suppose the amount of soda in a 12-oz can of soda has a normal distribution with a mean of 12.25 oz and a standard deviation of 0.15 oz.

1. Use the 'show your work' feature, shade the area below the normal model curve to show the central 68% of the data values.
2. Between what two z-scores is the central 68% of the data values?

6

Suppose the amount of soda in a 12-oz can of soda has a normal distribution with a mean of 12.25 oz and a standard deviation of 0.15 oz.

Use the normal model curve data values that you entered in #7.
1. Between what two data values is the central 99.7% of the data?
2. Use the 'show your work' below and shade the area under the curve to show the central 99.7% of the data.

6

Suppose the amount of soda in a 12-oz can of soda has a normal distribution with a mean of 12.25 oz and a standard deviation of 0.15 oz.

Use the the normal model curve data values that you entered in #7.
1. What percentage of the cans contain between 11.95 and 12.55 oz?
2. Use the 'show your work' below to shade the area between 11.95 and 12.55 oz.

4

Suppose the amount of soda in a 12-oz can of soda has a normal distribution with a mean of 12.25 oz and a standard deviation of 0.15 oz.

Use the the normal model curve data values that you entered in #7.
What percentage of the cans contain between 11.95 and 12.4 oz?

6

Suppose the amount of soda in a 12-oz can of soda has a normal distribution with a mean of 12.25 oz and a standard deviation of 0.15 oz.

Use the the normal model curve data values that you entered in #7.
1. What percentage of the cans contain more than 12.4 oz?
2. Use the 'show your work' to shade the area under the curve we are interested in.

6

Suppose the amount of soda in a 12-oz can of soda has a normal distribution with a mean of 12.25 oz and a standard deviation of 0.15 oz.

Use the the normal model curve data values that you entered in #7.
1. What percentage of the cans contain less than 11.95 oz?
2. Use the 'show your work' to shade the area under the curve we are interested in.

Unit 4 Day 5 Quiz #1 Z-score & Normal Model Curve cloned 2/16/2023

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?

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...

Suppose the amount of soda in a 12-oz can of soda has a normal distribution with a mean of 12.25 oz and a standard deviation of 0.15 oz.Use the normal model curve data values that you entered in #7.What data value is the 84th percentile?

Suppose the amount of soda in a 12-oz can of soda has a normal distribution with a mean of 12.25 oz and a standard deviation of 0.15 oz.Use the the normal model curve data values that you entered in #7.What percentage of the cans contain between 11.95 and 12.4 oz?

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?

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...

Suppose the amount of soda in a 12-oz can of soda has a normal distribution with a mean of 12.25 oz and a standard deviation of 0.15 oz.Use the normal model curve data values that you entered in #7.What data value is the 84th percentile?

Suppose the amount of soda in a 12-oz can of soda has a normal distribution with a mean of 12.25 oz and a standard deviation of 0.15 oz.Use the the normal model curve data values that you entered in #7.What percentage of the cans contain between 11.95 and 12.4 oz?

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?

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...

Suppose the amount of soda in a 12-oz can of soda has a normal distribution with a mean of 12.25 oz and a standard deviation of 0.15 oz.

Use the normal model curve data values that you entered in #7.
What data value is the 84th percentile?

Suppose the amount of soda in a 12-oz can of soda has a normal distribution with a mean of 12.25 oz and a standard deviation of 0.15 oz.

Use the the normal model curve data values that you entered in #7.
What percentage of the cans contain between 11.95 and 12.4 oz?

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?

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...

Suppose the amount of soda in a 12-oz can of soda has a normal distribution with a mean of 12.25 oz and a standard deviation of 0.15 oz.

Use the normal model curve data values that you entered in #7.
What data value is the 84th percentile?

Suppose the amount of soda in a 12-oz can of soda has a normal distribution with a mean of 12.25 oz and a standard deviation of 0.15 oz.

Use the the normal model curve data values that you entered in #7.
What percentage of the cans contain between 11.95 and 12.4 oz?