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Show all work. The health of employees is monitored by periodically weighing them in. A sample...

Show all work.

The health of employees is monitored by periodically weighing them in. A sample of 54 employees has a mean weight of 183.9 lb. Assuming that σ is known to be 121.2 lb, create as 85% confidence interval for the mean weight.

Math   Statistics-And-Probability   
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Answer #1

Given,

X_bar = 183.9

n = 54

= 121.2

Calculate 85% of confidence interval

CI = x_bar z*(/n)

z value for 85% of confidence interval is 1.44

CI = 183.9 1.44*(121.2/54)

= 183.9 23.750

CI = 183.9 - 23.75 and CI = 183.9+23.75

= 160.15 and CI = 207.65

Therefore 85% of confidence interval is (160.15,207.65).

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