Introductory Statistics

 

 

Respond to the following short answer questions from Chapter 9 of the Morgan, Leech, Gloeckner, & Barrett textbook IBM SPSS for Introductory Statistics:

D7.9.1 (a) Under what conditions would you use a one-sample t test? (b) Provide another possible example of its use from the HSB data.

D7.9.2 In Output 9.2: (a) Are the variances equal or significantly different for the three dependent variables? (b) List the appropriate t, df, and p (significance level) for each t test as you would in an article. (c) Which t tests are statistically significant? (d) Write sentences interpreting the academic track difference between the means of grades in high school and also visualization. (e) Interpret the 95% confidence interval for these two variables. (f) Comment on the effect sizes.

D7.9.3 (a) Compare the results of Outputs 9.2 and 9.3. (b) When would you use the Mann–Whitney U test?

D7.9.4 In Output 9.4: (a) What does the paired samples correlation for mother’s and father’s education mean? (b) Interpret/explain the results for the t test. (c) Explain how the correlation and the t test differ in what information they provide. (d) Describe the results if the r was .90 and the t was zero. (e) What if r was zero and t was 5.0?

D7.9.5 (a) Compare the results of Output 9.4 with Output 9.5. (b) When would you use the Wilcoxon test?

Sample Solution

Introductory Statistics is designed for students who are not majoring in math or engineering and fulfills the scope and sequencing requirements of a one-semester introduction to statistics course. The text assumes intermediate algebra expertise and focuses on statistics application rather than theory. Introductory Statistics features collaborative exercises, technology integration challenges, and statistics labs, as well as creative practical applications that make the course contemporary and accessible. Every OpenStax textbook goes through a thorough review procedure. However, errors do occur, just as they do in any professional-grade textbook. The good news is that because our books are web-based, we can provide periodic updates. If you have a correction to make, please do so here. We’ll look through your proposal and make any required adjustments.

t. For instance, based on maximising wellbeing if doctors took decisions to use one persons organs to save five other people that would cause people to not trust care givers. There would be no trust that people are obeying rules if the comman man would just make decisions that allowed any kind of violations of law or cheating for sake of maximising good.

Bernard Williams argued consequentialism required impartiality which focuses on consequences of action and this requirement deprives an individual of their own integrity because the concept of utilitarianism doesn’t differentiate in a person themselves bringing about an outcome vs someone else producing an outcome.

Practically rule consequentialism proves to maximise utility in situations such as traffic rules. It would be safer if everyone followed rules like ‘no drunk driving or speed limit.’ Hence its safer to follow rule utility over act utility in such cases. Act utility would give room for individuals to determine the best action.

A rule based system leads to greater overall utility because people are capable of having bad judgement. Having specific rules to follow maximizes utility by not relying on the drivers’ judgments that could possibly endanger others or themselves too. For instance, based on an individual drivers’ judgements not following the road stop signs over some emergency could endanger many. The stop sign would distinctly set the rule and tell drivers to stop and does not allow them to calculate whether it would be better to stop or not.

Rule consequentialism avoids criticisms of act consequentialism. According to critics, act consequentialism approves of actions that can be wrong, undermine justice, undermine basic trust among people, and its demanding because it requires people to make sacrifices.

Rule consequentialists avoids underming trust because they do not evaluate individual actions

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