Question

You measure 28 dogs' weights, and find they have a mean weight
of 58 ounces. Assume the population standard deviation is 11
ounces. Based on this, construct a 99% confidence interval for the
true population mean dog weight.

Give your answers as decimals, to two places

? ± ? ounces

Answer #1

Solution :

Given that,

Point estimate = sample mean =
= 58

Population standard deviation =
= 11

Sample size = n = 28

At 99% confidence level

= 1 - 99%

= 1 - 0.99 = 0.01

/2
= 0.005

Z/2
= Z0.005 = 2.576

Margin of error = E = Z/2
* (
/n)

= 2.576 * ( 11 /
28 )

= 5.36

At 99% confidence interval estimate of the population mean is,

± E

58 ± 5.36

**Answer ; - 58 ± 5.36**

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