The percentage of titanium in an alloy used in aerospace castings is measured in 51 randomly selected parts. the sample standard deviation is s = 0.36. construct a 95% two-sided confidence interval for σ. assume population is approximately normally distributed. round your answers to 4 decimal places.

Step-by-step explanation:

The confidence interval for population standard deviation is given by :-

Given : Significance level :

Sample size : n= 51

Sample standard deviation : s=0.36

Then by using the chi-square distribution table, we have

Confidence interval for population standard deviation will be :-

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

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step-by-step explanation: