Question

In: Statistics and Probability

4. The BoBo company makes washing machines. In one phase of production it is necessary to...

4. The BoBo company makes washing machines. In one phase of production it is necessary to estimate the average drying time of enamel paint on metal sheeting. Analysis of a random sample of 420 sheets showed that the average drying time is 56 hours and previous data has shown the "population" standard deviation is 12 hours. Find a 99% confidence for the population mean drying time.

Expert Solution

Solution :

Given that,

Point estimate = sample mean = = 56

Population standard deviation = = 12
Sample size = n =420

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 ( Using z table )

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

= 2.576 * ( 12/ $\sqrt$ 420)

= 1.5084

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

- E < < + E

56 -1.5084< < 56+1.5084

54.4916< < 57.5084

(54.4916, 57.5084 )

orchestra answered 2 years ago

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