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4. The home run percentage is the number of home runs per 100 times at bat. A random sample of 50 professional baseball players gave a sample mean of 3.22 home run percent and a sample standard deviation of 1.9 home run percent. a) (3pt) What is the margin of error for a 90% confidence interval? b) (3pt) Use information from part (a) to fill in the blanks in the following statement. % of all samples of size have sample means within of the population mean. c) (2pt) Find a 90% confidence interval for the population mean home run percentage for all professional baseball players. d) (2pt) Interpret the meaning of the confidence interval in the context of the