# Statistical Analysis in a Random Sample

You select a random sample of n=14 families in your neighborhood and find the following family size (number of people in the family).

6

7

10

9

8

6

7

7

6

7

6

7

8

9

a) What is the mean family size for the sample? I think the answer here is all the above #'s * 14=7.37143

The mean family size for the sample is _7.36

b) What is the standard deviation for the sample?_______( round to the nearest tenth)

c) What is the best estimate for the mean family size for the population of all families in a country?________

d) What is the 95% confidence interval for the estimate? _____< Âµ < ____

e) Comment on the reliability of the estimate. Choose below

(a) The sample is likely to be representative of all families in a country

(b) The sample is unlikely to be very representative of all families in a country

(c) There is not enough data to make a conclusion

https://brainmass.com/math/complex-analysis/statistical-analysis-random-sample-512237

#### Solution Preview

Hi there,

Thanks for letting me work on your post. Here is my explanation:

a. Mean=(6+7+10+9+8+6+7+7+6+7+6+7+8+9)/14=7.36. so you are right for this question.

b. Standard ...

#### Solution Summary

The statistical analysis in a random sample are examined.