Question

In: Statistics and Probability

A sample of 144 cans of coffee showed an average weight of 16 ounces. The standard...

A sample of 144 cans of coffee showed an average weight of 16 ounces. The standard deviation of the population is known to be 1.4 ounces.

a.Construct a 90% confidence interval for the mean of the population.

b.Construct a 99% confidence interval for the mean of the population.

Expert Solution

Solution :

Given that,

= 16

= 1.4

n = 144

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* (1.4 / $\sqrt$ 144)

= 0.3005

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

- E < < + E

16-0.3005 < < 16+0.3005

15.6995< < 16.005

(15.6995,16.005 )

orchestra answered 2 years ago

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