3/27/2023-HW Normal Distribution

Required

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A normally distributed data set has
What would be the value of an element of the data set with a z-score = -1.1?

round to the nearest tenths place

Required

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The air pressure of each tire in a group is normally distributed with a mean of 39.2 psi and a standard deviation of 2.5 psi. If a tire in this group has a z-score of -1.8, find it's air pressure.

round your answer to the nearest tenths place

Required

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The prices of various cereal boxes is normally distributed with a standard deviation of 0.5. If a box of Lucky Charms sells for $4.29 and has a z-score of 1.6, what is the mean price of a box of cereal?

give your answer rounded to the hundreth's place (like dollars and cents...$x.xx)

Required

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The number of homes sold each year by a realtor is normally distributed with a mean of 54. If the realtor sold 36 homes last year with a z-score of -2.4, what is the standard deviation?

round your answer to the nearest tenths place

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The last math exam of the year was normally distributed with a mean of 85 and a standard deviation of 5. Joan needed at least a 95 on this test to get an A for the year. Her teacher gave him his z-score: 1.8. What grade did Joan get on the test?

round your answer to the nearest tenths place if necessary

Required

1

The last math exam of the year was normally distributed with a mean of 85 and a standard deviation of 5. Joan needed at least a 95 on this test to get an A for the year. Her teacher gave him his z-score: 1.8.

Based on your answer from #5, did Joan get an A in the class?

Required

1

Before applying to law school, students must take the LSAT. Before applying to medical school, students must take the MCAT. Rocky took both tests because he wasn't sure if he wanted to become a doctor or a lawyer. Here are summary statistics from the tests he took:
If Rocky scored a 172 on the LSAT, what was his z-score? a

Required

1

Before applying to law school, students must take the LSAT. Before applying to medical school, students must take the MCAT. Rocky took both tests because he wasn't sure if he wanted to become a doctor or a lawyer. Here are summary statistics from the tests he took:
If Rocky scored a 37 on the MCAT, what was his z-score?

round to the nearest tenths place

Required

1

Before applying to law school, students must take the LSAT. Before applying to medical school, students must take the MCAT. Rocky took both tests because he wasn't sure if he wanted to become a doctor or a lawyer. Here are summary statistics from the tests he took:
Based on the same information you found in questions 2 and 3 above, on which test did Rocky score relatively better on? Explain your answer.

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A normally distributed data set has a mean of 0 and a standard deviation of 0.5. What percent of the values is between -1 and 1?

give your answer with a % rounded to the nearest tenths place

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The heights of plants are normally distributed with a mean of 12 inches and a standard deviation of 2 inches. What percentage of plants are taller than 14 inches?

give as a % rounded to the tenths place

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The heights of plants are normally distributed with a mean of 12 inches and a standard deviation of 2 inches. What percentage of plants are between 10 and 16 inches tall?

give as a % rounded to the tenths place

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The heights of plants are normally distributed with a mean of 12 inches and a standard deviation of 2 inches. What percentage of plants are less than 8 inches tall?

give as a % rounded to the tenths place

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1

The heights of plants are normally distributed with a mean of 12 inches and a standard deviation of 2 inches. If there are 150 plants in the data set, how many plants are 15 inches or taller?

rounded to the nearest whole number

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1

A population of rabbits had their weights measured. The weights were normally distributed. Approximately what percentage of the weights, rounded to the nearest whole number, are within two standard deviation of the mean?

give your answer as a %, using a whole number

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1

Use the emperical rule to select each answer:

72.5%
89%
95%
68%
81%
99.7%

_______percentage of values are within 1 standard deviation of the mean
_______percentage of values are within 2 standard deviation of the mean
________percentage of values are within 3 standard deviation of the mean

Required

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For a group of Mercedes Benz's, the average mpg is 18 mph and there is a standard deviation of 1.8. What will the miles per gallon for a Mercedes Benz be when it has a z-score of -1.6?

round your answer to the nearest tenths place

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upload your pages of work here--page 1

1

A normally distributed data set has What would be the value of an element of the data set with a z-score = -1.1?round to the nearest tenths place

The air pressure of each tire in a group is normally distributed with a mean of 39.2 psi and a standard deviation of 2.5 psi. If a tire in this group has a z-score of -1.8, find it's air pressure.round your answer to the nearest tenths place

The prices of various cereal boxes is normally distributed with a standard deviation of 0.5. If a box of Lucky Charms sells for $4.29 and has a z-score of 1.6, what is the mean price of a box of cereal?give your answer rounded to the hundreth's place (like dollars and cents...$x.xx)

The number of homes sold each year by a realtor is normally distributed with a mean of 54. If the realtor sold 36 homes last year with a z-score of -2.4, what is the standard deviation?round your answer to the nearest tenths place

The last math exam of the year was normally distributed with a mean of 85 and a standard deviation of 5. Joan needed at least a 95 on this test to get an A for the year. Her teacher gave him his z-score: 1.8. Based on your answer from #5, did Joan get an A in the class?

A normally distributed data set has a mean of 0 and a standard deviation of 0.5. What percent of the values is between -1 and 1?give your answer with a % rounded to the nearest tenths place

The heights of plants are normally distributed with a mean of 12 inches and a standard deviation of 2 inches. What percentage of plants are taller than 14 inches?give as a % rounded to the tenths place

The heights of plants are normally distributed with a mean of 12 inches and a standard deviation of 2 inches. What percentage of plants are between 10 and 16 inches tall?give as a % rounded to the tenths place

The heights of plants are normally distributed with a mean of 12 inches and a standard deviation of 2 inches. What percentage of plants are less than 8 inches tall?give as a % rounded to the tenths place

The heights of plants are normally distributed with a mean of 12 inches and a standard deviation of 2 inches. If there are 150 plants in the data set, how many plants are 15 inches or taller?rounded to the nearest whole number

A population of rabbits had their weights measured. The weights were normally distributed. Approximately what percentage of the weights, rounded to the nearest whole number, are within two standard deviation of the mean?give your answer as a %, using a whole number

Use the emperical rule to select each answer:

For a group of Mercedes Benz's, the average mpg is 18 mph and there is a standard deviation of 1.8. What will the miles per gallon for a Mercedes Benz be when it has a z-score of -1.6?round your answer to the nearest tenths place

upload your pages of work here--page 1

upload your pages of work here--page 2

A normally distributed data set has
What would be the value of an element of the data set with a z-score = -1.1?

round to the nearest tenths place

The air pressure of each tire in a group is normally distributed with a mean of 39.2 psi and a standard deviation of 2.5 psi. If a tire in this group has a z-score of -1.8, find it's air pressure.

round your answer to the nearest tenths place

The prices of various cereal boxes is normally distributed with a standard deviation of 0.5. If a box of Lucky Charms sells for $4.29 and has a z-score of 1.6, what is the mean price of a box of cereal?

give your answer rounded to the hundreth's place (like dollars and cents...$x.xx)

The number of homes sold each year by a realtor is normally distributed with a mean of 54. If the realtor sold 36 homes last year with a z-score of -2.4, what is the standard deviation?

round your answer to the nearest tenths place

The last math exam of the year was normally distributed with a mean of 85 and a standard deviation of 5. Joan needed at least a 95 on this test to get an A for the year. Her teacher gave him his z-score: 1.8.

Based on your answer from #5, did Joan get an A in the class?

A normally distributed data set has a mean of 0 and a standard deviation of 0.5. What percent of the values is between -1 and 1?

give your answer with a % rounded to the nearest tenths place

The heights of plants are normally distributed with a mean of 12 inches and a standard deviation of 2 inches. What percentage of plants are taller than 14 inches?

give as a % rounded to the tenths place

The heights of plants are normally distributed with a mean of 12 inches and a standard deviation of 2 inches. What percentage of plants are between 10 and 16 inches tall?

give as a % rounded to the tenths place

The heights of plants are normally distributed with a mean of 12 inches and a standard deviation of 2 inches. What percentage of plants are less than 8 inches tall?

give as a % rounded to the tenths place

The heights of plants are normally distributed with a mean of 12 inches and a standard deviation of 2 inches. If there are 150 plants in the data set, how many plants are 15 inches or taller?

rounded to the nearest whole number

A population of rabbits had their weights measured. The weights were normally distributed. Approximately what percentage of the weights, rounded to the nearest whole number, are within two standard deviation of the mean?

give your answer as a %, using a whole number

For a group of Mercedes Benz's, the average mpg is 18 mph and there is a standard deviation of 1.8. What will the miles per gallon for a Mercedes Benz be when it has a z-score of -1.6?

round your answer to the nearest tenths place