A university wants to investigate 'low-performance' modules - where low-performance is defined as a module with an average final mark lower than 50 in a given year. To test whether ECO242 is a 'low-performance' module, a researcher gathers data on final marks for 31 first ECO242 students from past years. If the mean and variance of this sample is estimated, respectively, as 48 and 38, test the hypothesis, at α=0.05, that the true mean is 50 against the hypothesis that it is less than 50. Q1: Is this an example of (two/left/right) tailed test?

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A university wants to investigate 'low-performance' modules - where low-performance is defined as a module with an average final mark lower than 50 in a given year. To test whether ECO242 is a 'low-performance' module, a researcher gathers data on final marks for 31 first ECO242 students from past years. If the mean and variance of this sample is estimated, respectively, as 48 and 38, test the hypothesis, at α=0.05, that the true mean is 50 against the hypothesis that it is less than 50.

Q1: Is this an example of (two/left/right) tailed test?

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