1 answer

A particular fruit's weights are normally distributed, with a mean of 745 grams and a standard...

Question:

A particular fruit's weights are normally distributed, with a mean of 745 grams and a standard deviation of 21 grams.

The heaviest 9% of fruits weigh more than how many grams?

Give your answer to the nearest gram.


Check Answer Question 9 A particular fruits weights are normally distributed, with a mean of 745 grams and a standard deviat
Check Answer Question 9 A particular fruit's weights are normally distributed, with a mean of 745 grams and a standard deviation of 21 grams. The heaviest 9% of fruits weigh more than how many grams? Give your answer to the nearest gram. Calculator Check Answer

Answers

Solution:-

Given that,

mean = \mu = 745

standard deviation = \sigma = 21

Using standard normal table,

P(Z > z) = 9%

= 1 - P(Z < z) = 0.09  

= P(Z < z) = 1 - 0.09

= P(Z < 1.341 ) = 0.91  

z = 1.341

Using z-score formula,

x = z * \sigma + \mu

x = 1.341 * 21 + 745

x = 773.16

x = 773 grams.

.

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