# 3 statistics questions that require SPSS software knowledge and some hand calculations

Answer the following questions using SPSS and some computations by hand. Put your written answers all together on a piece of paper separate from your SPSS output. You should label your SPSS output so that it’s clear which question it belongs to. Delete all unnecessary output.

A researcher is interested in whether students from NYU text more or less often than the national average. The national average number of texts per day in 2012 was 43. A random sample of 35 NYU students was selected and the number of texts per day determined. The following data are the number of texts per day for the NYU students:

Number of texts:

Check to make sure you input your data correctly.

What is the null hypothesis (words and symbols)?

What is the alternative hypothesis (words and symbols)?

Using SPSS, calculate the appropriate test to investigate the hypothesis presented here. Print out the box for “One Sample Statistics” and “One Sample Test.” NOTE: Remember to use the appropriate test value in SPSS.

What is the mean number of texts of NYU students?

What is the standard deviation of the number of texts?

What is the standard error of this sample?

What are the results of the statistical test? Write them up in APA format.

What error did you possibly make (Type I or Type II)? Explain what that would be for this example.

Using the mean and standard deviation from SPSS, construct a 95% confidence interval, by hand, for the population mean number of texts by NYU students.

Explain how you determine significance using the confidence interval.

Over many years of testing, I have considered the population mean of the first quiz (quiz1) for my statistics class to be μ = 82. Suppose I was curious whether my students from 2016 were significantly different than all of my other students over several years. I took a sample of data from those students and posted the data on NYU Classes (Resources>SPSS Assignments > SPSS Assignment Data > Assignment Undergrad Data B. Using this data, test this hypothesis. Answer the following questions:

What is the null hypothesis (words and symbols)?

What is the alternative hypothesis (words and symbols)?

Using SPSS, calculate the appropriate test to investigate the hypothesis presented here. Print out the box for “One Sample Statistics” and “One Sample Test.”

What is the mean Quiz 1 score for this sample of statistics students?

What is the standard deviation?

What is the standard error of this sample?

What are the results of the statistical test (use α = .05)? Write them up in APA format (even if they are not significant).

What error did you possibly make (Type I or Type II)? Explain what that would be.

Using the mean and standard deviation from SPSS, construct a 99% confidence interval, by hand, for the population mean Quiz 1 score for the sample semester’s data.

Using the confidence interval, do we find significance? Even if the results are the same, explain why our results with the confidence interval might differ from those of the t-test (Hint: think about alpha).

Note: Although technically you could do a z-test because you have a large sample, you must do a t-test because that is the only test SPSS provides. Use t for the confidence interval as well.

The population mean final exam (finalex) for all of my statistics classes is 83. Test the hypothesis that your sample data from one year (2016) (using Assignment Undergrad Data B) are significantly different from the population. Answer the same questions (a-j) as in question 2, but for Final Exam.

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