Question: a) What is the probability that the average time to read 60 colour rectangles for males will be above 21 seconds? [7 marks) b) What

a) What is the probability that the average time to read 60 colour rectangles for males will be above 21 seconds? [7 marks) b) What is the probability that the average time to read 60 colour rectangles for females will be between 19 and 24 seconds (exclusive)? (6 marks) c) Construct a 92% confidence interval for the mean time to read 60 colour words for females. (4 marks) d) Construct an 80% confidence interval for the average time to read 60 colour rectangles for males. Have you appropriately estimated the true population mean? Explain. (5 marks) e) How large a sample is needed if we wish to be 99% confident that our sample mean to read 60 colour words for females will be within 1.5 seconds of the true mean? Is this sample size reasonable? (5 marks) f) Construct a 94% upper confidence bound for "interfer". [4 marks)

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