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kompoz [17]
3 years ago
8

You want to create a 99% confidence interval with a margin of error of .5. Assuming the population standard deviation is equal t

o 1.5, what's the minimum size of the random sample you can use for this purpose?
Mathematics
1 answer:
miss Akunina [59]3 years ago
8 0

Answer:

Sample size minimum is 60

Step-by-step explanation:

given that you want to create a 99% confidence interval with a margin of error of .5.

The population  standard deviation is equal to 1.5

i.e. \sigma = 0.5

Confidence level = 99%

Since population std deviation is known, we can use Z critical value for finding margin of error

Z critical value for 99% = 2.58

Margin of error = 2.58*\frac{1.5}{\sqrt{n} }

Equate this to 0.5 and solve for n

2.58*\frac{1.5}{\sqrt{n} }=0.5\\\sqrt{n} =7.74\\n =59.90\\n=60

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