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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