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12 days ago

A population mean of 360, a standard deviation of 4, and a margin of error of 2.5%

Mathematics

1 answer:

AnnZ [11.9K]12 days ago

3 0

Answer:

The confidence interval is (351.04, 368.96)

Step-by-step explanation:

Given are population mean = 360

Standard deviation = 4

margin of error = 2.5% = 0.025

As the population standard deviation is known, we can apply the Z critical value

For a two-tailed critical value corresponding to 2.5%, we have

2.24

The margin of error is calculated as ±Critical value * standard deviation

= ±2.24(4)

= ±8.96

The confidence interval can be determined as follows = (Mean - margin of error, Mean + margin of error)

= $(360-8.96, 360+8,.96)\\= (351.04, 368.96)$

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26 days ago

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1 month ago

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