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Remind yourself of when an independent t-test would be used. Complete the following statements by typing the missing word.
\nAn independent t-test is used for a research question that investigates a [[0]] between groups.
\nThe independent variable should be a [[1]] variable, and the dependent variable would be a [[2]] variable.
\nWe only use an independent t-test if a [[3]]-participants design is used.
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\nThe dependent variable name should be specific enough to understand what the value presented in the data represents.
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\nWhich of theses is the null hypothesis (H0)
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\nYou can find the average/mean and SD for each group in the Explore output ot the independent t-test output
\nyou can find the median/IQR for each group in the Explore output
\nYou can find the mean difference in the independent t-test output
\nMake sure that all values are reported to two decimal places.
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\nWhat was the average score for males who took the maths test? [[1]]
\nWhat is the average spread (standard deviation) of maths scores for males who took the maths test? [[2]]
\nWhat is the median score for males who took the maths test? [[3]]
\nWhat is the interquartile range for males who took the maths test? [[4]]
\nWhat was the average score for females who took the maths test [[5]]
\nWhat is the average spread (standard deviation) of maths scores for females who took the maths test? [[6]]
\nWhat is the median score for females who took the maths test? [[7]]
\nWhat is the interquartile range for females who took the maths test? [[8]]
\nWhat is the mean difference in maths scores between the two groups [[9]]
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indicates that females had a higher mean score on the maths test compared with males who took the test.
\nThe less overlap there is between the 95% confidence intervals around the means, the more likely tht there is a significant difference. Because the intervals overlap this difference may not be significant.
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\nOn the basis of the error bar graph alone, please select which statement is correct.
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\nFemales had a higher mean/average maths test score than males, but this may not be significantly higher because the 95% confidence intervals around the means overlap quite a bit.
\nUse the Simple Histograms that you obtained to check the assumptions of normality.
\nIs the distribution of this data normal?
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\nUse the Simple Boxplots that you obtained to answer the following question.
\nAre there any extreme scores in the maths test scores for either group?
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\nComplete the following statement.
\nLevene's test for equality of variances is [[0]]. We can therefore assume there there are [[1]] differences between the [[2]] in the scores for each group and the assumption of variances has [[3]].
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\nThe data was inspected and was judged that the this was normally-enough distributed on histograms with one outlier on the box plots which was considered acceptable, therefore an independent t-test was conducted.
\nA maths test was given to male and female participants to see if one gender was better at maths than the other. On the maths test females scored significantly higher (m = 17.05, SD = 2.61) compared to males (m=15.25, SD=2.61; t (38) = 1.67, p = .104). This suggests that the opinion that males are better at maths is correct. (Rebecca: this is not the most appropriate test in my opinion as the extreme outlier will affect the reliability of the test - One of the assumptions has been violated.)
\n\nMann Whitney U Test
\n\nThe data was inspected and was judged that the data for the female participants was not normally distributed from the histogram with one outlier on the boxplot, therefore a Mann-Whitney U test was conducted.
\nA maths test was given to male and female participants to see if one gender was better at maths than the other. On the maths test females scored significantly higher (median = 18.00, IQR = 3) compared to males (median = 15.25, IQR = 3.75; U = 110.50, p = .014). This suggests that the opinion that males are better at maths is a myth.
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