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The mass of the apples harvested from a particular orchard follows a nearly normal distribution with a mean of 94 grams and a standard deviation of 27 grams. What size sample is needed to get a standard error of 3

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MrRoyal

The sample size needed to get a standard error of 3 is 81

How to determine the sample size?

The given parameters are:

  • Mean = 94
  • Standard deviation = 27
  • Standard error = 3

The standard error is calculated using:

[tex]SE = \frac{\sigma}{\sqrt n}[/tex]

So, we have:

[tex]3= \frac{27}{\sqrt n}[/tex]

Divide both sides by 3

[tex]1= \frac{9}{\sqrt n}[/tex]

Square both sides

1 = 81/n

Multiply both sides by n

n = 81

Hence, the sample size needed to get a standard error of 3 is 81

Read more about standard errors at:

https://brainly.com/question/6851971

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