Answer:
The population mean = sample mean = x`= 67.5
Population standard deviation = 13.369
Sample standard deviation= 4.225
Step-by-step explanation:
AS the population mean is not given we will calculate it from the sample.
The mean of the sampling distribution is equal to the population mean .
The sample mean is calculated by
x`= ∑x/n= 75,+ 62, +69,+65,+66,+64, +67,+70,+74 + 63/10
x`=675/10= 67.5
The standard deviation of the sample is equal to
u = σ/ √n where σ is the population standard deviation and n is the number of observations.
Calculating the sample mean
s= √∑xi²/n- (∑x/n)²
s= √(45741/10)- (675/10)²
s= 4.2249
σ= u*√n= 4.229 *√10
σ=13.360
