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Are these statements true or false?

1. The sample mean, the sample proportion and the sample standard deviation are all unbiased estimators of the corresponding population parameters.

2. If the population is normally distributed with known variance then the sample mean may not be normally distributed for very small sample size.

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  1. Assume that thermometers are distributed with a mean of 0 degress and a standard deviation of 1. Find the probability that a randomly selected thermometer reads greater than 1.25

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