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Each year, all final year students take a mathematics exam. It is hypothesised that the population...

Each year, all final year students take a mathematics exam. It is hypothesised that the population mean score for this test is 105. It is known that the population standard deviation of test scores is 15.

A random sample of 27 students take the exam. The mean score for this group is 111.

A.) Calculate the 95% confidence interval for the population mean test score. Give your answers to 2 decimal places.

_______ ≤ μ ≤ ________

B.) At a significance level α = 0.05, the null hypothesis that the population mean test score is 105 is (rejected or not rejected)

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