Question

The number of cars running a red light during the day at a given intersection possesses a distribution with a mean of 4.5 cars and standard deviation of 6. The number of cars running a red light was observed on 100 randomly choose days and the mean numbers of cars calculated. Describe the sample distribution of the sample mean

Answer 1

the sample distribution of the sample mean will be same as the population mean, i.e. the mean of the sample distribution will remain same as population mean or 4.5

so, the mean of the sample distribution of the sample mean will be 4.5 cars

only the standard deviation changes for sample distribution, but the mean remains same for sample distribution

so, answer is sample mean = 4.5 cars