Question

3.32 What is the square root of the sample size rounded down to the nearest whole number? What is the square root of the sample size rounded up to the nearest whole number? What is the sample variance (unrounded)? What is the sample standard deviation (unrounded)? What is the sample variance (to 2 decimals)? What is the sample standard deviation (to 2 decimals)? How many observations are less than 75? Is the mean less than 75 (TRUE or FALSE)? Check My Work Reset Problem core (0%) 140000 Back

Answer 1

Since the sample size is 11 hence

Square root of the sample size is

√11= 3.3166 or 3 rounded

Square root of sample size rounded to the nearest whole no is

√11=3.3166=3 again

Sample variance is calculated as

Where:
s2 = sample variance
x1, ..., xN = the sample data set
x̄ = mean value of the sample data set
N = size of the sample

Calculated as 191.2727

The sample standard deviation is calculated as

√S²​​​​​​=√191.2 7.27=13.83

THE SAMPLE VARIANCE UPTO 2 DECIMAL WOULD BE

191.27

The standard deviation, upto 2 decimals is

13.83

Also,

From the calculation only 8 is below 75

Since the mean calculated using excel is 70.455<75 hence mean is less than 75