Question

In: Math

You measure 22 dogs' weights, and find they have a mean weight of 39 ounces. Assume...

You measure 22 dogs' weights, and find they have a mean weight of 39 ounces. Assume the population standard deviation is 9.8 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

Expert Solution

Solution :

Given that,

= 39 ounces

= 9.8 ounces

n = 22

At 99% confidence level the z is ,

= 1 - 99% = 1 - 0.99 = 0.01

/ 2 = 0.01 / 2 = 0.005

Z_/2 = Z_0.005 = 2.576

Margin of error = E = Z_/2* ( / $\sqrt$ n)

= 2.576 * (9.8 / $\sqrt$ 22)

= 5.38

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

- E < < + E

39 - 5.38 < < 39 + 5.38

33.62 < < 44.38

(33.62, 44.38)

milcah answered 3 months ago

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