Given the following sampling distribution of one mean with a

Given the following sampling distribution of one mean with a sample size 64, from a normally distributed population, find the population standard deviation, ?.

81

82

83

84

85

86

87

Solution

Here sample mean = 84 One standard deviation away value = (83, 85) so here SD/?n= (85-83) SD= 2/?n SD= 2/?64 SD= 2X 8 SD=16