1. For a population with a mean of µ = 85, a score of 90 corresponds to a z-score of z = 1.00. What is the population standard deviation?(please show work)

1. On Tuesday afternoon, Bill earned a score of X = 73 on an English test with µ = 65 and ơ = 8. The same day, John earned a score of X = 63 on a math test with µ = 57 and ơ = 3. Who should expect the better grade? Bill or John? Explain your answer

1. A distribution with a mean of µ = 80 and a standard deviation of ơ = 4 is being transformed into a standardized distribution with µ = 50 and ơ = 10. Find the new, standardized score for each of the following values form the original population.

a. X = 80 b. X= 40

c. X= 38 d. X=36

Include a table (constructed in MSWord) that shows both the original score and the calculated standardized score. The table should have the proper headings.

Problem: n = 4, scores: 0, 3, 0, 3

SS = ?

Variance = ?

St. Dev = ?

Oak Harbor School

Student Score of out of 10

_________________________

John 8

Marcia 10

Renee 10

Joshua 7

frank 10

Michael 9

Thomas 6

Maria 5

Jane 7

Marilyn 8

_________________________________

Pine Ridge School

____________________________________

Student Score out of 10

________________________________

Morgan 8

Joshua 7

Lydia 8

Tamyra 9

Don 8

Joan 8

Candace 7

Matt 9

Samuel 8

Shaun 8

_______________________________________

SHOW

• Construct frequency distribution tables that include relative and cumulative percentage for each school separately.
• Construct a frequency distribution table that includes the frequency test scores for both schools combined. With this table, also calculate the mean, median, mode, and standard deviation for both schools combined.
• Produce a histogram, frequency polygon (line graphs) and pie charts with display data for the two schools side-by-side for visual comparison.
  REPORT
• Show a report that shows the calculations and graphs (histogram, frequency polygon and pie chart).
• Evaluate the effectiveness of the three graphs (histogram, frequency polygon, and pie chart) for these sets of data, with a recommendation for rationale for the most effective graph to use to present the analysis.
• Interpret the results for instructional decision making. Based on the descriptive analysis, how would the instructor proceed for each school? In your comments, make specific reference to the statistics on which your comment is based. Specifically, address the issue of central tendency and variation within and between the two schools.

Problem : Using the data (from the 10-point quiz) calculate the standardized score (z score) for each student. This is a three-step process: (Using SPSS)

• Create a new variable in the table named "standardscore."
• Find the mean and the standard deviation for all students using the Analyze>Descriptive Statistics>Descriptives command.
• Calculate a value for "standardscore" by entering the formula for calculating the z score using the Transform>Compute command.

Once you have completed the data transformation, use the Analyze>Descriptive Statistics>Frequencies command to create two histograms. One histogram will be for the "score variable; the second histogram will be for the "standardscore" variable. When you create the histograms, make sure to that you check the "With Normal Curve" option on the dialog box.

Price: $22.43

Solution: The downloadable solution consists of 14 pages, 843 words and 10 charts.
Deliverable: Word Document