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

Question

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?

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

Explanation / Answer

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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

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