Question

In: Statistics and Probability

A particular fruit's weights are normally distributed, with a mean of 290 grams and a standard...

A particular fruit's weights are normally distributed, with a mean of 290 grams and a standard deviation of 29 grams.

If you pick 22 fruit at random, what is the probability that their mean weight will be between 277 grams and 297 grams? Round answer to at least 4 decimal places.

Expert Solution

sample size (n) = 22 < 30..but, as the population is normally distributed, we can say that the sample mean will also follow normal distribution with :-

the probability that their mean weight will be between 277 grams and 297 grams be:-

[ in any blank cell of excel type =NORMSDIST(1.1322)]

[ in any blank cell of excel type =NORMSDIST(2.1026)]

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orchestra answered 1 year ago

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