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Q5. The diameter of contact lenses has a mean of 1 cm and a standard deviation of 0.02 cm. If you select a random sample of 50 contact lenses, a. Can you assume that the sampling distribution of sample means is approximately normal? Why? b. what is the probability that the sample mean is less than 1.003 cm? c. what is the probability that the sample mean is between 0.998 and 1.008 cm