A statistician calculates a 95% confidence interval for Mean when Standard Deviation is known. The confidence interval is Rs.18000 to Rs.22000, the amount of the sample mean is:

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A statistician calculates a 95% confidence interval for Mean when Standard Deviation is known. The confidence interval is Rs.18000 to Rs.22000, the amount of the sample mean is:

Answer: We are given the 95% confidence interval for the population mean with Upper limit = 22000 and lower limit = 18000

We can find the sample mean using these limits of confidence interval as:

Sample mean [tex]=\frac{Upper-limit + Lower-limit}{2} =\frac{22000+18000}{2} =\frac{40000}{2} = 20000[/tex]

Therefore, the sample mean = 20,000