Ch 5 Test Review

4

Babies born at Memorial Southwest Hospital have weights that are normally distributed.
The mean weight of the babies is 3200 grams with a standard deviation of 375 grams.

1. What is the range of babies’ weights in the middle 99.7%?
Do your calculations without using 2nd VARS InvNorm. Ex. use: mean-3(std dev) to mean+3(std Dev)
Use the format: Ex. 12-24 grams

2. Shade the corresponding area in the 'show your work' section.

4

Babies born at Memorial Southwest Hospital have weights that are normally distributed.
The mean weight of the babies is 3200 grams with a standard deviation of 375 grams.
To determine what percent of babies weigh over 3600 grams, the upper z-score is 1E99.
1. What is the lower z-score? (this will help you know where to shade)
Round the decimal to 3 places.
2. Shade the normal model curve to show the area that we are interested in.

4

Babies born at Memorial Southwest Hospital have weights that are normally distributed.
The mean weight of the babies is 3200 grams with a standard deviation of 375 grams.
What percent of babies weigh over 3600 grams?
Round the percent answer to one place past the decimal.

4

Babies born at Memorial Southwest Hospital have weights that are normally distributed.
The mean weight of the babies is 3200 grams with a standard deviation of 375 grams.
The lower z-score is -1E99,
1. what is the upper z-score for babies that weigh less than 3450 grams?
Round the decimal to 3 places.
2. Shade the Normal Model curve to show the area we are interested in.

4

Babies born at Memorial Southwest Hospital have weights that are normally distributed.
The mean weight of the babies is 3200 grams with a standard deviation of 375 grams.
What percent of babies weigh less than 3450 grams?
Round the percent answer to one place past the decimal.

4

Babies born at Memorial Southwest Hospital have weights that are normally distributed.
The mean weight of the babies is 3200 grams with a standard deviation of 375 grams.
When calculating the top 5%, the upper z-score is 1E99.
1. What is the lower z-score if the baby is in the top 5%? Use Normalcdf or Invnorm to find the z-score
Round to three places past the decimal.
2. Shade the Normal Model curve to show the area we are interested in.

4

Babies born at Memorial Southwest Hospital have weights that are normally distributed.
The mean weight of the babies is 3200 grams with a standard deviation of 375 grams.
How much does a baby weigh if it is in the top 5%? Now recalculate to find the actual data value. Use the actual mean and std dev.
Round to one place past the decimal.

4

Babies born at Memorial Southwest Hospital have weights that are normally distributed.
The mean weight of the babies is 3200 grams with a standard deviation of 375 grams.
What is the weight of a baby that is at the 45th percentile for weight?
Round to one place past the decimal.

4

Madeline’s height has a z-score of 2.1 compared to the heights of girls her age.
What does this z-score mean?

4

Martin is 46” tall. The heights are normally distributed and allow for the use of the normal model: N(44, 1.3).
What is Martin's z-score? Use the z-score formula.
Round to three places past the decimal.

4

Use your answers from #9 and #10 to determine who is taller: Madeline or Martin?

Then select the reasons (2) why you know this is true.

4

We have used Summary Statistics to describe distributions with the Normal Model,
which is related to the spread of a distribution? Which to the center?
Select both correct answers.

12

A cell phone manufacturer claims that their cell phone life spans (in months) can be described by a normal model N(42, 7).
1. Use the 'Show your work' area to insert the corresponding data values and percents below the normal model curve.
2. Use the Normal Curve information you just entered, what length corresponds to the 2.5th percentile?
Do NOT use InvNorm or Normalcdf.

4

A cell phone manufacturer claims that their cell phone life spans (in months) can be described by a normal model N(42, 7).
According to your labeled Normal Curve in #13, what percent of the cell phones are expected to last between 28 and 49 months?
DO NOT use InvNorm or Normalcdf
Enter your answer and shade the corresponding area.

4

A cell phone manufacturer claims that their cell phone life spans (in months) can be described by a normal model N(42, 7).
According to your labeled Normal Curve in #13, what is the length of the cell phone lifespan at the 97.5th percentile?
Enter your answer and shade the corresponding area.

4

A cell phone manufacturer claims that their cell phone life spans (in months) can be described by a normal model N(42, 7).
What percent of the cell phones are expected to last longer than 36 months?
Use Normalcdf or Invnorm.

Round the percent to one place past the decimal.

4

A cell phone manufacturer claims that their cell phone life spans (in months) can be described by a normal model N(42, 7).
What percent of the cell phones are expected to last longer than 4 years?
Use Normalcdf or Invnorm.

Round the percent to one place past the decimal.

4

A cell phone manufacturer claims that their cell phone life spans (in months) can be described by a normal model N(42, 7).

What is the lifespan for the top 5% of the cell phones?

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

4

The number of oranges that grow on an orange tree in Florida is normally distributed with a mean of 136 with a standard deviation of 21 oranges. The number of grapefruit that grow on grapefruit trees in Florida is normally distributed as well, with a mean of 96 and a standard deviation of 13 grapefruits.

Which distribution of data would be more spread out? How do you know?

4

The number of oranges that grow on an orange tree in Florida is normally distributed with a mean of 136 with a standard deviation of 21 oranges. The number of grapefruit that grow on grapefruit trees in Florida is normally distributed as well, with a mean of 96 and a standard deviation of 13 grapefruits.

If a tree produced 121 oranges, what would the z-score be?

4

The number of oranges that grow on an orange tree in Florida is normally distributed with a mean of 136 with a standard deviation of 21 oranges. The number of grapefruit that grow on grapefruit trees in Florida is normally distributed as well, with a mean of 96 and a standard deviation of 13 grapefruits.

If a tree produced 121 grapefruits, what would the z-score be?

4

The number of oranges that grow on an orange tree in Florida is normally distributed with a mean of 136 with a standard deviation of 21 oranges. The number of grapefruit that grow on grapefruit trees in Florida is normally distributed as well, with a mean of 96 and a standard deviation of 13 grapefruits.

If a tree produces 121 pieces of fruit:
1. Is it closer to the mean for the oranges or for the grapefruit?
2. Explain your answer.
Select both answers below.

4

The number of oranges that grow on an orange tree in Florida is normally distributed with a mean of 136 with a standard deviation of 21 oranges. The number of grapefruit that grow on grapefruit trees in Florida is normally distributed as well, with a mean of 96 and a standard deviation of 13 grapefruits.

If a tree produces 121 pieces of fruit:
1. Would it be more unusual for it to be an orange tree or a grapefruit tree?
Use the information from #20, 21 & 22
2. Why?

Babies born at Memorial Southwest Hospital have weights that are normally distributed. The mean weight of the babies is 3200 grams with a standard deviation of 375 grams.What percent of babies weigh over 3600 grams?Round the percent answer to one place past the decimal.

Babies born at Memorial Southwest Hospital have weights that are normally distributed. The mean weight of the babies is 3200 grams with a standard deviation of 375 grams.What percent of babies weigh less than 3450 grams?Round the percent answer to one place past the decimal.

Babies born at Memorial Southwest Hospital have weights that are normally distributed. The mean weight of the babies is 3200 grams with a standard deviation of 375 grams.What is the weight of a baby that is at the 45th percentile for weight?Round to one place past the decimal.

Madeline’s height has a z-score of 2.1 compared to the heights of girls her age.What does this z-score mean?

Martin is 46” tall. The heights are normally distributed and allow for the use of the normal model: N(44, 1.3).What is Martin's z-score? Use the z-score formula.Round to three places past the decimal.

Use your answers from #9 and #10 to determine who is taller: Madeline or Martin?Then select the reasons (2) why you know this is true.

We have used Summary Statistics to describe distributions with the Normal Model, which is related to the spread of a distribution? Which to the center?Select both correct answers.

A cell phone manufacturer claims that their cell phone life spans (in months) can be described by a normal model N(42, 7).According to your labeled Normal Curve in #13, what is the length of the cell phone lifespan at the 97.5th percentile?Enter your answer and shade the corresponding area.

A cell phone manufacturer claims that their cell phone life spans (in months) can be described by a normal model N(42, 7).What percent of the cell phones are expected to last longer than 36 months?Use Normalcdf or Invnorm.Round the percent to one place past the decimal.

A cell phone manufacturer claims that their cell phone life spans (in months) can be described by a normal model N(42, 7).What percent of the cell phones are expected to last longer than 4 years?Use Normalcdf or Invnorm.Round the percent to one place past the decimal.

A cell phone manufacturer claims that their cell phone life spans (in months) can be described by a normal model N(42, 7).What is the lifespan for the top 5% of the cell phones?Enter your answer below. Round the months to one place past the decimal.

Babies born at Memorial Southwest Hospital have weights that are normally distributed.
The mean weight of the babies is 3200 grams with a standard deviation of 375 grams.
What percent of babies weigh over 3600 grams?
Round the percent answer to one place past the decimal.

Babies born at Memorial Southwest Hospital have weights that are normally distributed.
The mean weight of the babies is 3200 grams with a standard deviation of 375 grams.
What percent of babies weigh less than 3450 grams?
Round the percent answer to one place past the decimal.

Babies born at Memorial Southwest Hospital have weights that are normally distributed.
The mean weight of the babies is 3200 grams with a standard deviation of 375 grams.
What is the weight of a baby that is at the 45th percentile for weight?
Round to one place past the decimal.

Madeline’s height has a z-score of 2.1 compared to the heights of girls her age.
What does this z-score mean?

Martin is 46” tall. The heights are normally distributed and allow for the use of the normal model: N(44, 1.3).
What is Martin's z-score? Use the z-score formula.
Round to three places past the decimal.

Use your answers from #9 and #10 to determine who is taller: Madeline or Martin?

Then select the reasons (2) why you know this is true.

We have used Summary Statistics to describe distributions with the Normal Model,
which is related to the spread of a distribution? Which to the center?
Select both correct answers.

A cell phone manufacturer claims that their cell phone life spans (in months) can be described by a normal model N(42, 7).
According to your labeled Normal Curve in #13, what is the length of the cell phone lifespan at the 97.5th percentile?
Enter your answer and shade the corresponding area.

A cell phone manufacturer claims that their cell phone life spans (in months) can be described by a normal model N(42, 7).
What percent of the cell phones are expected to last longer than 36 months?
Use Normalcdf or Invnorm.

Round the percent to one place past the decimal.

A cell phone manufacturer claims that their cell phone life spans (in months) can be described by a normal model N(42, 7).
What percent of the cell phones are expected to last longer than 4 years?
Use Normalcdf or Invnorm.

Round the percent to one place past the decimal.

A cell phone manufacturer claims that their cell phone life spans (in months) can be described by a normal model N(42, 7).

What is the lifespan for the top 5% of the cell phones?

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