Question

You measure 36 dogs' weights, and find they have a mean weight
of 63 ounces. Assume the population standard deviation is 2.7
ounces. Based on this, construct a 95% 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 =
= 63

Population standard deviation =
= 2.7

Sample size = n = 36

At 95% confidence level

= 1 - 95%

= 1 - 0.95 =0.05

/2
= 0.025

Z/2
= Z0.025 = 1.96

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

= 1.96 * ( 2.7 / 36
)

= 0.88

At 95% confidence interval estimate of the population mean is,

± E

63 ± 0.88

( 62.12, 63.88 )

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