(Solved): (a) Find a point estimate for the average amount lost after one week on this diet. Is this an unbi ...

(a) Find a point estimate for the average amount lost after one week on this diet. Is this an unbiased estimate of the population mean? Explain. Yes, this an unbiased estimate of the population mean, since \( \mathrm{E}(\bar{x})=\mu \). Yes, this an unbiased estimate of the population mean, since \( \mathrm{E}(\bar{x}) \neq \mu \). No, this is not an unbiased estimate of the population mean, since \( \mathrm{E}(\bar{x}) \neq \mu \). No, this is not an unbiased estimate of the population mean, since \( \mathrm{E}(\bar{x})=\mu \). No, this is not an unbiased estimate of the population mean, since the sample size is to small. (b) Find a point estimate for the variance of the amount lost on this diet. (Round your answer to four decimal places.) Is this an unbiased estimate of the population variance? Explain. Yes, this an unbiased estimate of the population variance, since \( E\left(s^{2}\right) \neq \sigma^{2} \). Yes, this an unbiased estimate of the population variance, since \( E\left(s^{2}\right)=\sigma^{2} \). No, this is not an unbiased estimate of the population variance, since \( \mathrm{E}\left(s^{2}\right) \neq \sigma^{2} \). No, this is not an unbiased estimate of the population variance, since \( E\left(s^{2}\right)=\sigma^{2} \). No, this is not an unbiased estimate of the population variance, since the sample size (c) Find a point estimate for the standard deviation of the amount lost on this diet. (Round your answer to three decimal places.)