where p denote the population mean of the original random variable 5.7 Problems . Assume X is a normally distributed random variable with mean u and stan- dard deviation σ. A sample of size n-5 from this distribution is given as 1. Assume we are interested in the properties of the mean of the sam- pling distribution of the sample mean. Describe why this quantity is a 2. State an estimator for the parameter given in question 1. Use this esti- 3. Give formula to calculate the true bias, variance, and the Mean Squared 4. For the parameter: the mean of the sampling distribution of the sample parameter mator and the sample given above to obtain an estimate. Error (MSE) for the parameter given in question 1. sum state an estimator. Use this estimator and the sample given above to estimate this parameter. Power outages during winter storms is common. A utility company which provides electricity to Pacific Northwest wants to estimate the true propor- where p denote the population mean of the original random variable 5.7 Problems . Assume X is a normally distributed random variable with mean u and stan- dard deviation σ. A sample of size n-5 from this distribution is given as 1. Assume we are interested in the properties of the mean of the sam- pling distribution of the sample mean. Describe why this quantity is a 2. State an estimator for the parameter given in question 1. Use this esti- 3. Give formula to calculate the true bias, variance, and the Mean Squared 4. For the parameter: the mean of the sampling distribution of the sample parameter mator and the sample given above to obtain an estimate. Error (MSE) for the parameter given in question 1. sum state an estimator. Use this estimator and the sample given above to estimate this parameter. Power outages during winter storms is common. A utility company which provides electricity to Pacific Northwest wants to estimate the true propor-