Question

12. The following data was collected from a simple random sample of a population. 13 15...

12.

The following data was collected from a simple random sample of a population.

13 15 14 16 12

The point estimate of the population standard deviation is

Select one:

a. 1.581

b. 2.500

c. 1.414

d. 2.000

13.

A population has a standard deviation of 16. If a sample of size 64 is selected from this population, what is the probability that the sample mean will be within ±2 of the population mean?

Select one:

a. 0.6826

b. -0.6826

c. 0.3413

d. Since the mean is not given, there is no answer to this question.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

12)

Solution : 13 , 15 , 14 , 16 , 12

n = 5

= = (13 + 15 + 14 + 16 + 12) / 5 = 70 / 5 = 14

s = (x - )2 / n - 1

= (13 - 14)2 + (15 - 14)2 + (14 - 14)2​​​​​​​ + (16 - 14)2​​​​​​​ + (12 - 14)2​​​​​​​ / 5 - 1

=  10 / 4

= 2.5

s = 1.581

Point estimate of population standard deviation = 1.581

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