During the recent recovery from the Great Recession of 2007-2009, the economic s
ID: 3248705 • Letter: D
Question
During the recent recovery from the Great Recession of 2007-2009, the economic situation for many families has improved. However, in 2011 the recovery was slow and it was uncertain as to how much had reality changed on the national level. To estimate the population parameter of the percent of low- income working families, a representative simple random sample could be used to calculate a point. 7. Write an appropriate sampling procedure that will enable a researcher to collect a simple random sample of size n = 20 from the full list of jurisdictions. 8. Carry out a sampling of the jurisdictions by using a random number generator, random number table, or the sampling capability of technology to select a simple random sample of size n = 20 from the full list of the jurisdictions. Provided the selected sample of 20 In the table included below, making sure to include the corresponding percent of low- income working families (%LIWF) information for each jurisdiction selected. 9. Use technology to calculate the sample mean and sample standard deviation of the percent of low income working families for the selected 20 jurisdictions in your sample. Provide your mean and standard deviation and express in detail why it is unlikely that any two samples would produce the same results. 10. A different sample of sue n = 20 produced a sample mean of 31.08% and a sample standard deviation of 5.48%. Use these values to calculate a 90% confidence interval (without the use of statistical technology) for the national mean percent of low- income working families. Please show all calculations and provide the upper and lower limits that make up the confidence interval. (Round the limits to two decimal places.) 11. Express an appropriate statistical interpretation of the 90% confidence interval included in the answer to number 10. 12. In any of the 20-value samples selected, some jurisdictions may have a percent of low- income working families that is not included in the 90% confidence interval calculated above. If federal funds are available only for jurisdictions whose percent of low- income working families falls within the reported confidence interval, explain whether an interval with a higher or lower confidence level would be more advantageous to the jurisdictions. 13. If a lawmaker reports only research results that ensure that the jurisdiction he or she represents gets federal aid, explain whether such an action would constitute a misuse of statistics. If the action is not a misuse.Explanation / Answer
9).
Answer:
Descriptive statistics
data
n
20
mean
30.8150
sample standard deviation
6.7501
sample variance
45.5634
minimum
20.1000
maximum
43.0000
range
22.9000
It is unlikely that any two samples would produce the same results because of random variation in the process of sample selection.
Descriptive statistics
data
n
20
mean
30.8150
sample standard deviation
6.7501
sample variance
45.5634
minimum
20.1000
maximum
43.0000
range
22.9000
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