(10 points) Historically, these bolts have an average thickness of 10.1 mm. A recent random sample of 10 bolts yielded these thicknesses: (Data EX0406)9.7 9.9 10.3 10.1 10.59.4 9.9 10.19.710.3(a) Find the sample mean and standard deviation for these data.(b) Assume that the historical average is true. Calculate the observed valueof thet−statistic.(c) What is the probability of these statistics (or worse) if the true meanwere 10.1 mm