A 98% confidence interval for a population mean is given as 31.4 < μ < 40.8. Round your answers to 1 decimal place. (a) Calculate the sample mean. x = (b) Calculate the margin of error.
A 98% confidence interval for a population mean is = (sample mean - margin of error, sample mean + margin of error)
Given
sample mean - margin of error = 31.4 ...(i)
sample mean + margin of error = 40.8 ...(ii)
a) Adding equation (i) and (ii), we get
2*sample mean = 31.4 + 40.8
b) Equation(ii) - Equation(i), we get
2*Margin of error = 40.8 - 31.4
A 98% confidence interval for a population mean is given as 31.4 < μ < 40.8....
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