Exam 10: Comparing Two Means

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Other things being equal, compared to the paired-samples (or dependent) t-test, the independent t-test:

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What does the independent t-test test assume?

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A psychologist was interested in whether there was a gender difference in the use of email. She hypothesized that because women are generally better communicators than men, they would spend longer using email than their male counterparts. To test this hypothesis, the researcher sat by the email computers in her research methods laboratory and when someone started using email, she noted whether they were male or female and then timed how long they spent using email (in minutes). What should she report? \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad  Group Statistics \text { Group Statistics } Gender Mean Std. Deviation Std. Error Mean Time Using Email (Day 2) Male 8 5.0000 4.50397 1.59239 Female 8 32.0000 40.04640 14.15854  A psychologist was interested in whether there was a gender difference in the use of email. She hypothesized that because women are generally better communicators than men, they would spend longer using email than their male counterparts. To test this hypothesis, the researcher sat by the email computers in her research methods laboratory and when someone started using email, she noted whether they were male or female and then timed how long they spent using email (in minutes). What should she report?  \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \text { Group Statistics }   \begin{array}{|ll|r|r|r|r|}  \hline & \text { Gender } & \mathrm{N} & \text { Mean } & \text { Std. Deviation } & {\begin{array}{c} \text { Std. Error } \\ \text { Mean } \end{array}} \\ \hline \text { Time Using Email (Day 2) } & \text { Male } & 8 & 5.0000 & 4.50397 & 1.59239 \\ & \text { Female } & 8 & 32.0000 & 40.04640 & 14.15854\\ \hline  \end{array}

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The t-statistic:

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Two samples of data are collected and the sample means calculated. If the samples come from the same population, then:

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A researcher was interested in the effects of emotion-evoking music on exam performance. Before their SPSS exam, a lecturer took one group of students to a room in which calming music was being played. A different group of students were taken to another room in which the 'death march' was being played. The students then did the exam and their marks were noted. The SPSS output is below. The experimenter made no predictions about which form of support would produce the best exam performance. What should he report? \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad  Group Statistics \text { Group Statistics } Emotional Support Mean Std. Deviation Std. Error Mean SPSS Exam Mark Positive Support 20 65.1500 5.0396 1.1269 Negative Support 20 57.8000 15.2129 3.4017  A researcher was interested in the effects of emotion-evoking music on exam performance. Before their SPSS exam, a lecturer took one group of students to a room in which calming music was being played. A different group of students were taken to another room in which the 'death march' was being played. The students then did the exam and their marks were noted. The SPSS output is below. The experimenter made no predictions about which form of support would produce the best exam performance. What should he report?  \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \text { Group Statistics }   \begin{array}{l} \begin{array} { | l l | r | r | r | r | }  \hline & \text { Emotional Support } & { \mathrm { N } } &{ \text { Mean } } &  { \begin{array} { c }  \text { Std. } \\ \text { Deviation } \end{array} } & { \begin{array} { c }  \text { Std. Error } \\ \text { Mean } \end{array} } \\ \hline \text { SPSS Exam Mark } & \text { Positive Support } & 20 & 65.1500 & 5.0396 & 1.1269 \\ & \text { Negative Support } & 20 & 57.8000 & 15.2129 & 3.4017 \\ \hline \end{array} \end{array}

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What does the variance sum law state?

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Which of the following sentences is an accurate description of the standard error?

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If you use a paired samples t-test:

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The degrees of freedom for the paired samples t-test are:

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An independent t-test is used to test for:

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A small standard error of differences tells us:

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Participants rated their mood score out of 20 before and after listening to Reign in Blood by the thrash metal band Slayer. Before Listening to Slayer After Listening to 5 14 17 4 18 15 19 12 14 16 -What are the degrees of freedom for this study?

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A researcher was interested in stress levels of lecturers during lecturers. She took the same group of 8 lecturers and measured their anxiety (out of 15) during a normal lecture and again in a lecture in which she had paid students to be disruptive and misbehave. Based on the SPSS output, how would you interpret these results? A researcher was interested in stress levels of lecturers during lecturers. She took the same group of 8 lecturers and measured their anxiety (out of 15) during a normal lecture and again in a lecture in which she had paid students to be disruptive and misbehave. Based on the SPSS output, how would you interpret these results?

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Participants rated their mood score out of 20 before and after listening to Reign in Blood by the thrash metal band Slayer. Before Listening to Slayer After Listening to 5 14 17 4 18 15 19 12 14 16 - What is the null hypothesis of this study?

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A recent study investigated whether vodka is less likely to give you a hangover than wine. Twenty participants on a night out were asked to drink only vodka for the whole evening then rate how they felt the next day out of 10 (0 = I feel fantastic, 10 = I can't move my head in case it explodes). The following month, they were asked to do the same again, only this time they were asked to drink only white wine. The t-score was 2.56. Which of the sentences below is correct?

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When conducting an independent t-test, what is the dependent variable?

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A researcher measured a group of people's physiological reactions while watching horror films and compared them to when watching comedy films. The resulting data were normally distributed. What test should be used to analyse the data?

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Which of the following statements about the t distribution is correct?

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An paired-samples t-test is used to test for:

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