1. The mean height of adult Canadian males is 68 inches. A sample of 25 adult males in Oshawa display a mean height of 70 inches and a standard deviation of 4 inches. Using this data perform a 1 sample t-test. What is the value of t? How many degrees of freedom apply to this calculation? Are the results statistically significant at p = .05? p = .01? (Note: when consulting a table assume we are employing a two-tail test)
2. A criminologist is interested in possible disparities between sentences given to males and females convicted in murder-for-hire cases. Selecting 14 cases involving men convicted of trying to solicit someone to kill their wives and 16 cases involving women convicted of trying to solicit someone to kill their husbands, the criminologist finds the following:

1. Mean length of sentence for males = 7.34 years with a standard deviation of 2.51 years
2. Mean length of sentence for females = 9.19 years with a standard deviation of 3.78 years

Develop an appropriate null and research hypothesis. Calculate the appropriate t-statistic (based on the independent samples design). Note: you do not need to determine statistical significance, just perform the calculations that are necessary to compute t.

3. Select a collection of official statistical data that will allow you to compare some variable for two distinct groups (e.g. countries, cities, sports teams, universities etc.). Make sure your data contains at least 10 observations per group. Enter your data in SPSS (be sure to properly define your variables in ‘variable view’) and perform a T test. Interpret your results using the language of ‘null’ and ‘research’ hypothesis. What do your findings suggest? (Note: suitable data might include: the annual crime rate for two cities/countries over the past 15 years; life expectancy in 10+ countries from two different continents; comparing the number of goals scored by each player on two different teams [the same could be done with height and weight]). In addition to your SPSS output be sure to include a print out of the data in its original form.

4. Below are the crime rates (per 100,000 residents) for 10 Canadian cities in the year before and after the implementation of a new community-policing program. Using the data conduct a T-test for related or matched samples (this needs to be done by hand). What T-statistic is produced? Consult a t table to determine if your results are significant at p=.05 (this is a two-tail test). Once you have determined statistical significance, interpret your results.

City Pre-Initiative Post-Initiative

1 2.4 2.5

2 1.4 1

3 2 1.8

4 3.1 2

5 4.1 3

6 2 1.9

7 1.8 1

8 3 4

9 2 3.5

10 1.1 1.2

Price: $17.51

Solution: The downloadable solution consists of 8 pages, 951 words and 2 charts.
Deliverable: Word Document