Statistics in Mathematics: Probability Distributions and Confidence Intervals, Exams of Statistics

Download Statistics in Mathematics: Probability Distributions and Confidence Intervals and more Exams Statistics in PDF only on Docsity! MATH 203 Sample Problem Unit 3 Bottles of liquid soap are normally distributed in weight with a mean of 64 ounces and a standard deviation 0.5 ounces. (a) Let various random samples of size 21 be collected. Compute P(0.47 ≤ S ≤ 0.55) . (b) Suppose is unknown, but a random sampling of 26 bottles yields S = 0.60. Find a 95% confidence interval for the true standard deviation. (c) Using S = 0.60 from a sample of 26 bottles, is there evidence, at the 10% level of significance, to reject the claim that = 0.5? State null and alternative hypotheses, give the test-statistic and P -value, and use the P -value to explain your conclusion in detail.