# Methods of Data Analysis

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PSY392
Timed Online Assignment
Methods of Data Analysis: Exploring
Behavioural Sciences
Thursday, 21 May 2020 7:30 pm – 10:00 pm
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Time allowed: 2.5 hours
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Question 1 (40 marks) A group of researchers have come up with a new and improved method to measure the size of brains in people while they are still alive. Through a recruitment drive online and in the newspapers, they managed to recruit forty participants who consented to having their brains measured. The following is a screenshot of the descriptive statistics of the data collected. a) Examine the descriptive statistics presented above and draw at least two types of frequency distribution graphs that may represent the data. Explain your answer. (10 marks)
Page 3 of 6 b) The researchers managed to measure the brain size of one additional participant. The brain size of this new participant is 1830cm3. Apply the necessary formula to calculate the new sample mean and standard deviation including the data from this new participant and draw a frequency distribution graph that best describes the new set of data. Show all necessary calculations. The variance of data from the original forty participants calculated using the new mean is 11961.3. You may use this new variance and any of the formula below to help you answer Question 1b. (20 marks) c) After calculating the new sample mean, the researchers conclude that the new sample mean represents the average brain size of the human race. Examine the appropriateness of this conclusion and explain why the conclusion is appropriate or inappropriate. (10 marks)
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Question 2 (35 marks) Researcher X is interested in understanding whether regularly commuting by bus or train affects how tired commuters feel. He suspects that regular bus commuters will feel more tired compared to regular train commuters. He recruited 2,000 participants from bus interchanges and train stations around the island and asked if they take either the bus or train to work regularly. He asked a dozen additional questions on their general perceptions of how tired they feel on a slider scale ranging from 0 being not tired at all to 100 being the most tired they have been. This is a measure that is often treated as having an interval scale level property. He then ran some analyses to answer his research question. a) Formulate the most appropriate null and alternative hypotheses for the analysis that Researcher X is running. (5 marks) b) Researcher X compares the bus and train commuters on each of the twelve different questions he collected on their perception of tiredness. The following is the output from the analysis that Researcher X felt was most promising. Interpret the results of the analysis, and evaluate if Researcher X’s hypothesis is supported and report them in APA format. You may use any of the formulas below to help you answer the question. (15 marks)
Page 5 of 6 c) After looking at the results, Researcher X claimed that taking buses to work caused commuters to be tired and that the effect is strong because of statistical significance with a very small p value. Examine why his claim is inappropriate by identifying at least three issues with the study and analyses. (15 marks)
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