A manufacturer knows that their items have a normally distributed length, with a mean of 5.8...

A manufacturer knows that their items have a normally distributed length, with a mean of 5.8 inches, and standard deviation of 0.9 inches. If 17 items are chosen at random, what is the probability that their mean length is less than 6.1 inches?

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.3 years, and standard deviation of 3.3 years.
If you randomly purchase 7 items, what is the probability that their mean life will be longer than 11 years?

A particular fruit's weights are normally distributed, with a mean of 725 grams and a standard deviation of 19 grams.
If you pick 15 fruit at random, what is the probability that their mean weight will be between 708 grams and 713 grams

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 13.5 years, and standard deviation of 2.9 years.
If 6 items are picked at random, 2% of the time their mean life will be less than how many years?
Give your answer to one decimal place.

A particular fruit's weights are normally distributed, with a mean of 240 grams and a standard deviation of 35 grams.
If you pick 28 fruits at random, then 17% of the time, their mean weight will be greater than how many grams?
Give your answer to the nearest gram.

Expert Solution

orchestra answered 1 year ago

A manufacturer knows that their items have a normally distributed length, with a mean of 18.2...

A manufacturer knows that their items have a normally distributed length, with a mean of 18.2 inches, and standard deviation of 5 inches. If 6 items are chosen at random, what is the probability that their mean length is less than 14.9 inches?

A manufacturer knows that their items have a normally distributed length, with a mean of 8.1...

A manufacturer knows that their items have a normally distributed length, with a mean of 8.1 inches, and standard deviation of 2.4 inches. If 11 items are chosen at random, what is the probability that their mean length is less than 9.3 inches? (Give answer to 4 decimal places.)

A manufacturer knows that their items have a normally distributed length, with a mean of 5.7...

A manufacturer knows that their items have a normally distributed length, with a mean of 5.7 inches, and standard deviation of 0.8 inches. If one item is chosen at random, what is the probability that it is less than 7.2 inches long?

1) A manufacturer knows that their items have a normally distributed length, with a mean of...

1) A manufacturer knows that their items have a normally distributed length, with a mean of 9.8 inches, and standard deviation of 1.9 inches. If 22 items are chosen at random, what is the probability that their mean length is less than 8.7 inches? 2) A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 211.7-cm and a standard deviation of 2-cm. For shipment, 19 steel rods are bundled together. Find the...

A manufacturer knows that their items have a normally distributed length, with a mean of 18...

A manufacturer knows that their items have a normally distributed length, with a mean of 18 inches, and standard deviation of 4.2 inches. If 20 items are chosen at random, what is the probability that their mean length is less than 15.5 inches? (Give answer to 4 decimal places.) A manufacturer knows that their items have a normally distributed length, with a mean of 6.4 inches, and standard deviation of 1.2 inches. If 10 items are chosen at random, what...

A.) A manufacturer knows that their items have a normally distributed lifespan, with a mean of...

A.) A manufacturer knows that their items have a normally distributed lifespan, with a mean of 6.9 years, and standard deviation of 1 years. If you randomly purchase one item, what is the probability it will last longer than 9 years? B.) A particular fruit's weights are normally distributed, with a mean of 784 grams and a standard deviation of 24 grams. If you pick one fruit at random, what is the probability that it will weigh between 845 grams...

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7...

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7 years, and standard deviation of 1.6 years. If you randomly purchase one item, what is the probability it will last longer than 11 years?

1. A manufacturer knows that their items have a normally distributed lifespan, with a mean of...

1. A manufacturer knows that their items have a normally distributed lifespan, with a mean of 14.1 years, and standard deviation of 2.8 years. If you randomly purchase one item, what is the probability it will last longer than 20 years? 2. A particular fruit's weights are normally distributed, with a mean of 506 grams and a standard deviation of 21 grams. If you pick one fruit at random, what is the probability that it will weigh between 475 grams...

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.7...

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.7 years, and standard deviation of 0.7 years. If 6 items are picked at random, 4% of the time their mean life will be less than how many years? Give your answer to one decimal place.

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10...

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10 years, and standard deviation of 1.8 years. If 20 items are picked at random, 2% of the time their mean life will be less than how many years? Give your answer to one decimal place.

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