Two varieties of corn are being compared as to difference in maturation time. Ten plots of the first variety reach maturity in an average of 95 days with a standard deviation of 5.3 days, while eight plots of the second variety reach maturity in an average of 74 days with a standard deviation of 4.8 days. Assuming the original population is normally distributed and the populations have equal variance:a) what is the pooled sample standard deviation?b) find a 95% confidence interval estimate for the difference in maturation time in the form: estimate +/- (critical value)(standard deviation of the estimate)c) give the number of degrees of freedom used

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