The following sample of heights was taken from 5 air filters off the assembly line. Construct the 80% confidence interval for the population variance for all air filters that come off the assembly line. Round your answers to two decimal places. 3.8,4.3,3.8,4.5,3.6

80% confidence interval for the population variance = (0.07 , 0.55).

Step-by-step explanation:

We are given that the following sample of heights was taken from 5 air filters off the assembly line;

 3.8, 4.3, 3.8, 4.5, 3.6

So, firstly the pivotal quantity for 80% confidence interval for the population variance is given by;

        P.Q. = ~

where, s = sample standard deviation

            = population standard deviation

           n = sample of rods = 5

Also, , where X = individual data value

                                              = mean of data values = 4

        = 0.145

So, 80% confidence interval for population variance, is;

P(1.064 < < 7.779) = 0.80 {As the table of at 4 degree of freedom

                                              gives critical values of 1.064 & 7.779}

P(1.064 < < 7.779) = 0.80

P( < < ) = 0.80

P( < < ) = 0.80

80% confidence interval for = ( , )

                                                  = ( , )

                                                  = (0.07 , 0.55)

Therefore, 80% confidence interval for the population variance for all air filters that come off the assembly line is (0.07 , 0.55).

pi x^2

step-by-step explanation:

pi times x squared

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