Use either SPSS or calculate by hand, as you wish. For question For questions 8, 14 and 25, you should display your calculations in tables, an individual table for each question.

Question 8: Find each of the following probabilities for a normal distribution.

1. \(p(z>-0.25)\)
2. \(p(z>1.75)\)
3. \(p(z<0.90)\)
4. \(p(z<-1.25)\)

Question 14: For a normal distribution, find the $z$-score values that divide the distribution so that they separate

1. The middle \(80 \%\) from the extreme \(20 \%\) in the tails
2. The middle \(85 \%\) from the extreme \(15 \%\) in the tails
3. The middle \(90 \%\) from the extreme \(10 \%\) in the tails
4. The middle \(95 \%\) from the extreme \(5 \%\) in the tails

Question 25: The distribution of SAT scores is normal with \(\mu=500\) and \(\sigma=100\). What SAT scores, \(X\) values, separate

1. The middle \(60 \%\) from the rest of the distribution?
2. The middle \(80 \%\) from the rest of the distribution?
3. The middle \(95 \%\) from the rest of the distribution?

SPSS Assignment

• Complete in SPSS Assignments.doc.
• Use the following two data sets for a 10-point quiz in two classes of 10 students in each class:

Oak Harbor School

Pine Ridge School

For each school:

• Enter the data sets into a single SPSS data table.
• Construct frequency distribution tables (using Analyze>Descriptive Statistics>Frequencies…) that include relative and cumulative percentage for each school separately.
• Construct a frequency distribution table that includes the frequency of 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 graph)s, and pie charts which display the data for the two schools side-by-side for visual comparison.

Then Using that data file, calculate the standardized score ( z score) for each student. This is a three-step process:

• 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 (Hint: Use the formula from the Gravetter and Wallnau text).

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 that you check the "With Normal Curve" option on the chart dialogue box. Use copy or copy object and paste relevant information and graphs to the Assignment Worksheet.

Price: $15.04

Solution: The downloadable solution consists of 10 pages, 504 words and 10 charts.
Deliverable: Word Document