Type I error: A company that manufactures steel wires guarantees that the mean breaking strength (in kilonewtons) of the wires is greater than 50. They measure the strengths for a sample of wires and test Ho : u= 50 versus Hl :u> 50. If a Type I error is made, what conclusion will be drawn regarding the mean breaking strength? The conclusion will be that the mean breaking strength is greater than v 50. If a Type II error is made, what conclusion will be drawn regarding the mean breaking strength? The conclusion will be that the mean breaking strength is Height and age: Are older men shorter than younger men? According to a national report, the mean height for U.S. men is 69.4 inches. In a sample of 269 men between the ages of 60 and 69, the mean height was ;=68.8 inches. Public health ofcials want to determine whether the mean height it for older men is less than the mean height of all adult men. Assume the population standard deviation to be o= 3.37. Use the u=0.01 level of signicance and the Pvalue method with the TI-84 calculator. State the appropriate null and alternate hypotheses. Ho- H1.- This hypothesis test is a left-tailed v test. Compute the P-value. Round the answer to at least four decimal places. Pvalue= El Blew}? aiu|yrn33l9 Calibrating a scale: Making sure that the scales used by businesses in the United States are accurate is the responsibility of the National Institute for Standards and Technology (NIST) in Washington, DC. Suppose that NIST technicians are testing a scale by using a weight known to weigh exactly 1000 grams. The standard deviation for scale reading is known to be 6:2.9. They weigh this weight on the scale 45 times and read the result each time. The 45 scale readings have a sample mean of ;=999.8 grams. The scale is out of calibration if the mean scale reading differs from 1000 grams. The technicians want to perform a hypothesis test to determine whether the scale is out of calibration. Use the u=0.01 level of signicance and the Pvalue method with the TI-84 calculator. State the appropriate null and alternate hypotheses. H0: 11:1000 H1: \"#1000 This hypothesis test is a two-tailed V test. Find the P-value. Round the answer to at least four decimal places. Pvalue= l:l elal'i \"WWW Are you smarter than a second-grader? A random sample of 58 second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is ;=47. Assume the standard deviation of test scores is a=15. The nationwide average score on this test is 50. The school superintendent wants to know whether the second-graders In her school dlstct have weaker math skills than the nationwide average. Use the a=0.10 level of signicance and the P-value method with the 11-84 calculator. State the appropriate null and alternate hypotheses. H0: \"=50 H1:- This hypothesis test is a left-tailed v test. Compute the P-value of the test statistic. Round the answer to at least four decimal places. P-value= D