nestergurl101
10.09.2020 •
Mathematics
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Ответ:
Ответ:
0.2172<x<0.2668
Step-by-step explanation:
The formula for calculating the confidence interval is expressed as;
CI = xbar ± (z*s/√n)
xbar is the average = 0.242ppm
z is the z score at 95% confidence = 1.96.
s is the standard deviation = 0.04pm
n is the sample size = 10
substitute the values into the formula;
CI = xbar ± (z*s/√n)
CI = 0.242 ± (1.96*0.04/√10)
CI = 0.242 ± (1.96*(0.04/3.1623))
CI = 0.242 ± (1.96*(0.01265))
CI = 0.242 ± (0.02479)
CI = (0.242-0.02479, 0.242+0.02479)
CI = (0.2172, 0.2668)
Hence a 95% confidence interval for the mean mercury content of coal from this source is 0.2172<x<0.2668.