Question 1 The following data represent the number of days absent per year in a population...
Question 1
The following data represent the number of days absent per year in a population of four employees of a small company:
1 3 6 7
- Assuming that you sample without replacement, select all possible samples of n = 2 and construct the sampling distribution of the mean. Compare the mean of all the samples means and also compute the population mean. Are they equal? What is the property called?
- Repeat (a) for all the sampling distribution of the mean in (a) for n= 3. Which sampling distribution has less variability? Why?
- Assuming that you sample with replacement, repeat (a) through (c) and compare the results. Which sampling distribution have the least variability – those in (a) or (b) ? Why?
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Question 2
Time spent using email per session is normally distributed, µ = 10 minutes and σ = 2 minutes. If you select a random sample of 4 sessions,
- What is the probability that the sample mean is less than 8 minutes?
- What is the probability that sample mean is between 8 and 9 minutes?
- If you select a random sample of 16 sessions, what is the probability that a as sample mean is between 8 and 9 minutes?
- Explain the differences in the results of (b) and (c).
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Homework Answers
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Question 1
The following data represent the number of days absent per year
in a population...
The following data represent the number of days absent per year in a population of 6...
The following data represent the number of days absent per year in a population of 6 employees of a small company: 1 3 6 7 9 10 Assuming that you sample without replacement, select all possible samples of size n = 3 and construct the sampling distribution of the sample mean and the sample median. Compute the mean of all sample means and all sample medians. Are they equal? What is this property? Which estimator, the sample mean or the...
The following data represent the number of days absent per year in a population of six...
The following data represent the number of days absent per year in a population of six employees in a small company: 1 3 6 7 9 10 a. Compute the standard deviation of all the sample means. How does the standard deviation of the sample means and the population standard deviation compare?
Time spent using e-mail per session is normally distributed, with mu equals μ=9 minutes and sigma...
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Consider the following population: (4,7, 10, 13). Note that the population mean is the following. 4+7+10+'13...
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According to a social media blog, time spent on a certain social networking website has a...
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Scenario 7.5 Time spent using e-mail per session is normally distributed with H 8 minutes and...
Scenario 7.5 Time spent using e-mail per session is normally distributed with H 8 minutes and o 2 minutes. If a random sample of 25 sessions is selected, answer the questions below. Question 16 1 pts Based on the information in Scenario 7.5, what is the probability that the sample mean is between 7.8 and 8.2 minutes? (4 decimals) Question 17 1 pts Based on the information in Scenario 7.5, what is the probability that the sample mean is between...
Consider the following population: (4,7, 10, 13). Note that the population mean is the following. 4+7+10+'13 -8.5 (a) Suppose that a random sample of sine 2 is to be selected without replacement from this population. There are 12 possible samples (provided that the order in which observations are selected is taken into account): 4,7 4,10 4,13 7.4 7.10 7.13 10,4 10,7 10, 13 13,4 13,7 13, 10 Compute the sample mean for each of the 12 possible samples Sample Sample...
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