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need help with both questions could u also include the margin of error Use the g

ID: 3311256 • Letter: N

Question

need help with both questions could u also include the margin of error

Use the given degree of confidence and sample data to find a confidence interval for the population standard deviation Assume that the population has a normal distribution. Round the confidence interval limits to the same number of decimal places as the sample standard deviation. To find the standard deviation of the diameter of wooden dowels, the manufacturer measures 19 randomly selected dowels and finds the standard deviation of the sample to be s = 0.16. Find the 95% confidence interval for the population standard deviation . 5. 6. From a data set of 7 different small car crash test measurements, the standard deviation is 56, Find the 95% confidence interval for the population standard deviation .

Explanation / Answer

Question 5.

Question 6.

CI for 95% n 19 std. dev. (s) 0.16 b = lower chi square 8.23075 a = upper chi square 31.52638 Lower limit = sqrt((n-1)/b)*s 0.23661 Upper limit = sqrt((n-1)/a)*s 0.12090 95% CI (0.2366 , 0.1209 )