Question

											550
Population
Summary statistics:
Column	n	Mean	Variance	Std. dev.	Std. err.	Median	Range	Min	Max	Q1	Q3
Books	368	442	32868	181.3	9.451	416.5	920	80	1000	300	600
Summary statistics:
Column	n	Mean	Variance	Std. dev.	Std. err.	Median	Range	Min	Max	Q1	Q3
mean(Sample(Books))	1000	444	1045.1	32.33	1.022	441.4	218.6	353.6	572.1	420.8	465.5

6. a) What is the range of values in the population? (Give the interval, not a single number.)

b) What is the range of values of the sample means (1dp)?

c) What is the population mean (1dp)?

d) What is the population standard deviation (2dp)?

e) What is the mean of the sample means (1dp)?

f)How close to the population mean is it?

7. a) What is the standard deviation of the sample means (2dp)?

b) What is the ratio of the sample mean standard deviation to the population standard deviation (2dp)? (i.e., what proportion results when you divide the sample mean std. dev. by the population std. dev.?)

c) Why do you think you got this ratio?

Answer 1

Please don't hesitate to give a "thumbs up" to the answer in case you're satisfied with the answer.

6.

a. range of values is from Min to Max = 80 to 1000
b. range of sample mean is 353.6 to 572.1
c. pop. mean = 442
d. pop. dev = 181.3
e. mean of sample mean = 444
f. Very close. 442 is very close to 444

7
a. Stdev of sampl e mean is 32.33
b. ratio if sample dev to pop. dev = 32.33/181.3 = .1783
c. I got a smaller sample deviation because when sample' distribution is taken basically the deviation reduces , hence a ratio of <1