(i)The 95% Confidence Interval for an unknown population mean is calculated using a sample size of 64 and is presented as (273, 663). Determine the sample mean and the population standard deviation. (ii) Two students, A and B, from different countries take a similar, though not identical, psychometric test. The test also has a different marking scheme. Below are the student marks, country mean and country standard deviation of marks. Which student did best in their country and why? Explain your answer.
(i)The 95% Confidence Interval for an unknown population mean is calculated using a sample size of 64 and is presented as (273, 663). Determine the sample mean and the population standard deviation.
(ii) Two students, A and B, from different countries take a similar, though not identical, psychometric test. The test also has a different marking scheme. Below are the student marks, country mean and country standard deviation of marks. Which student did best in their country and why? Explain your answer.
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The psychometric test in country B is also used as part of a company’s graduate recruitment process. The company wants to set a cut off mark so only the top 8% of applicants pass the test. What should the mark be set at?
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