ur edu/access/content/group/702e45af 2f8-43ca-a53c91 370 03efa/HW%20and%20Recita

Question

ur edu/access/content/group/702e45af 2f8-43ca-a53c91 370 03efa/HW%20and%20Recitations HW6 Recitation PM %20,6 pdf STAT 308 Homework #6 Due Tuesday, March 27 Spring 2018 URI NOTE: All questions should be handed in. Selected questions would be graded. 1. According to the US Bureau of Labor Statistics publication News, self-employed persons with home-based businesses work a mean of 23 hours per week at home with a standard deviation of 10 hours. a. Identify the population and variable. b. For samples of size 100, find the mean and standard deviation of all possible sample mean hours worked per week at home. C. Repeat part (b) for samples of size 1000 What effect has increasing the sample size on the mean and standard deviation of all possible sample mean hours worked per week at home? d. 2 In 1905 R Pearl published the article "Biometrical Studies on Man. I. Variation and 1 kg. Correlation in Brain Weight According to the study, brain weights of Swedish men are normally distributed with a mean of 1.4 kg and a standard deviation of 0 lia distabution of the sample mean for samples of size3

Explanation / Answer

Result:

a).

The population is all self employed persons with home based business.

The variable is working hours.

b).

mean=23 hours

standard deviation of means= sd/sqrt(n) = 10/sqrt(100) = 1 hour.

c).

mean=23 hours

standard deviation of means= sd/sqrt(n) = 10/sqrt(1000) = 0.3162 hour.

d).

When sample size increases, mean remains the same and standard deviation of means decreases.

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