EXCEL spreadsheet, math homework help

MAT-144 Worksheet 2

Answer directly on the EXCEL spreadsheet.

Part 1:

Worth 20 points. Go to http://www.bls.gov/cpi/tables.htm and locate the table for CPI – U U.S. All Items Indexes and Annual Percent Changes From 1913 to Present (as of May 2016 the table is number 24). Look for the most recent entry CPI Detailed Report (complete text and tables) PDF. Beginning with the month prior to the current one, count back 60 months. Use that value and the one for the prior month to find a five year inflation rate. Use this rate to project the cost of the items from your budget in Worksheet 1 for five years in the future.

Part 2:

You have just completed a mission to Sierra Leone. The goal of the mission was to improve the quality of water in 100 wells in a certain region. You collected data on the E. coli count from each well before after your mission. You need to write a report on the success of the mission and for that you need to perform some statistical analysis on the data.

• Worth 30 points. To begin with find the mean and standard deviation of each set of data. Compare the two means and standard deviations, intuitively does it appear that there has been improvement in water quality?
  • Mean of Before Data =
  • Mean of After Data =
  • SD of Before Data =
  • SD of After Data =
• Worth 10 points. Pick a particular well (that has E. coli), if you drank 24oz of water how many E.coli would you ingest if you drank from the well before the mission? After the mission?
  • Amount Before Mission =
  • Amount After Mission =
• Worth 20 points. Say that water quality is “good” if the count of E coli is 0. Consider the proportion of wells with “good” water to wells whose water is not good. From this measure does it appear that the quality of water improved?
  • Proportion of good water wells before mission =
  • Proportion of good water wells after mission =
• Worth 15 points. Since you collected water from the same source twice it makes sense to consider the mean of the differences, i.e., the mean and standard deviation (SD) of the differences, Before – After. This will require finding the differences in the water quality of each well and using those as a separate data set. Find the mean of the differences and create a histogram for Before – After.
  • Mean of the differences =
• Worth 15 points. Find the standard deviation (SD) of the mean of the differences for Before – After. Next find the standard error (SE = SD/sqrt(N))) of the mean of the differences. (See section 3.5.)
  • Standard deviation of the differences =
  • Standard Error =
• Worth 10 points. Assuming that the mean of the differences is normally distributed find the 95% confidence interval.
  • Confidence interval:
  • If 0 is inside this interval what can you say? If 0 is not inside this interval, what can you say?

Values of chosen well:

	Before wells were dug	After wells were dug
Enter a number between 1 and 100 in the box below to begin	E. coli per milliliter in drinking water	E. coli per milliliter in drinking water	4. Before – After		Use formulas in answering the following
				1. Mean of Before=
	63	52		1. Standard Deviation of Before =
	63	52
	63	52		1. Mean of After=
	63	52		1. Standard Deviation of After =
	63	52
	63	52		2. What row did you use (4 – 103)?
	63	52		E coli in 24 oz before =
	63	52		E coli in 24 oz after =
	63	52
	63	52		3. Proportion good before =
	63	52		3. Proportion good after =
	63	52
	63	52		4. Mean of Differences =
	63	52		4. Create a histogram below with 10 – 11 bins
	63	52
	63	52		5. Standard Deviation of Differences (SD) =
	63	52		5. Standard Error (SE = SD/sqrt(N)) =
	63	52
	63	52		6. Confidence interval =
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