1 A sample of 10 data points n 10 has a standard error of t

1. A sample of 10 data points (n = 10) has a standard error of the mean of 0.625. What is the variance of this sample? 2Given a normal distribution, what percentage of the observations would be expected within two standard deviations of the mean?

2.Given a normal distribution, what percentage of the observations would be expected within two standard deviations of the mean?

Solution

1.) Std error = std deviation/n

Std deviation = std error × n

= 0.625 × 10 = 1.976

Variance = (std deviation) ^2

= 3.91

2.) For a normal distribution 95% of the observations would like within two std deviation.