How many degrees of freedom will there be

Assignment Help Applied Statistics

Reference no: EM13982982

Detailed Question: SPSS assignment questions, including SPSS output, Data file (in excel) and data key (original survey) also attached

Part 1: Applied Practice

1. Let's say I have a group of 30 people.

a. If I compare the mean of the sample to a population mean of 7.2 (on a 10 point scale), what type of test will I have? How many degrees of freedom will there be?

b. If I split the 30 people into males and females and compare their means, what type of test will I use? How many degrees of freedom will there be?

2. Test the following null hypothesis: Teachers' opinion on whether receiving a financial incentive as part of their participation influenced their decision was not different from neutral (a score of 3 on the survey).

a. What test did you run to answer the question?

b. Copy and paste your output here.

c. Interpret these results.

3. Test the following null hypothesis: Cohort 3 teachers' responses were not different from Cohort 1 & 2 teachers on any of the survey questions (Questions 1-11).

a. What test did you run to answer the question?

b. Copy and paste your output here.

c. Interpret these results.

4. Test the following null hypothesis: There were no differences in responses on any of the survey questions (Questions 1-11) between educators of different categories of years of experience.

a. What test did you run to answer the question?

b. Copy and paste your output here.

c. Interpret these results.

5. If you found significant differences between educators of different categories of years of experience (to the above question), what groups were different?

a. What test did you run to answer the question?

b. Copy and paste your output here.

c. Interpret these results.

Part 2: Extension/Challenge

1. In the session, I talked about one sample t tests and two sample independent and dependent t tests. We followed a multi-step process, in which we identify the elements that we need, do the calculation, come to a conclusion and determine what it all means. Essentially, the computer does this behind the scenes, but for those of you interested in learning the math, complete the following problems, working through the steps in the box below (you don't have to show all the parts, but include as many as possible).

Steps to t test significance testing (by hand)

1. Define H_o and H_a.

2. Determine the test to use (one sample, 2 sample, r vs. 0), α level, 1-tailed vs. 2-tailed, and df. Find the critical value in a t table (Appendix 2).

3. Calculate your test statistics (t)

4. Sketch out a t distribution, and mark your rejection areas and where your calculated value fall. Make a decision (retain or reject H0).

5. Write out your conclusion, in words and statistics (use your hypotheses).

a. A class took an Army Physical Fitness test (APFT) and Colonel Carpenter recorded the number of push-ups done in 2 minutes, by gender. Test, at the .05 level, to see if there is any difference in the mean number of push-ups done by the populations of females and males.

b. The Bayley Psychomotor Development Index is a test that marks normal development in infants. The population mean for this test and 100 (higher scores mean better performance).

Howell and Nurcombe (1984) examined 6 month-old infants who were low birth weight babies when they were born; their data is below. Based on their data, what can we expect of low birth weight babies? The standard deviation of the sample (s) = 5.30.

Attachment:- Assignment.rar

Reference no: EM13982982

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