The ball corporation's beverage can manufacturing plant in fort atkinson, wisconsin, uses a metal supplier that provides metal with a known thickness standard deviation σ = .000507 mm. assume a random sample of 53 sheets of metal resulted in an x⎯⎯ = . mm. calculate the 90 percent confidence interval for the true mean metal thickness. (round your answers to 4 decimal places.) the 90% confidence interval is from to

 (0.3332, 0.33341)

Step-by-step explanation:

Formula to find the confidence interval for population mean :

, where n= Sample size

= sample mean.

= Critical z-value (two-tailed)

= population standard deviation.

As per given , we have

n= 53

The critical values for 90% confidence interval :

Now , the 90 percent confidence interval for the true mean metal thickness:

Hence, the 90 percent confidence interval for the true mean metal thickness. : (0.3332, 0.3334)

option 1

data plot with   3 dots over 33, 1 dot over 34, 2 dots over 35, no dot over 36, 1 dot over 37, 2 dots over 38, 4 dots over 39, and 2 dot over 40.