Suppose a simple random sample of size nequals49 is obtained from a population with mu equals 78 and sigma equals 28.
1 answer:
Answer:
0.0735,0.0179,0.7026
Step-by-step explanation:
Given that a simple random sample of size nequals 49 is obtained from a population with mu equals 78 and sigma equals 28.
Sample size = 49
Population mean = 78
Population std deviation = 28
Std error of sample mean =
a) : N(78, 4)
b)
(by converting to Z and finding value from Z table)
c) P (x overbar less than or equals 69.6 )
=
d) P (75.8 less than x overbar less than 88 )
=
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Answer and Step-by-step explanation:
Variance is the measurement of the spread bewteen the numbers of the data set and can be calculated by the formula:
σ² = ∑(x - ⁻x)² / n
1) With the data, find its mean (⁻x) by adding all the values and dividing the sum by total number of elements the data has;
2) Subtract each value of the data to the mean;
3) Square the result of the subtractions;
4) Add the squares;
5) Divide the sum by the total number of elements of the set;
6) The result is the Variance (σ²);
Standard Deviation is the measure of how far the values of the data set are from the mean and it is the square root of Variance:
σ =
So, to calculate standard deviation, you just take the square root of the variance.