Why are unbiased estimators preferred over biased estimators

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Problem 1: Why are unbiased estimators preferred over biased estimators?

Option 1: Unbiased estimators retain the original distribution of the sample, where as biased estimators follow a normal distribution.

Option 2: Unbiased estimators follow the normal distribution, where as biased estimators follow the original distribution.

Option 3: Unbiased estimators behave with reliable results, where as biased estimators are inconsistent.

Option 4: Unbiased estimators require a greater sample size which gives greater accuracy over biased estimators.

Problem 2: In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. Find P45, which is the consumption level separating the bottom 45% from the top 55%.

Option 1: 1078.3

Option 2: 1148.1

Option 3: 1087.8

Option 4: 1021.7

Reference no: EM132723022

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