In a study of pulse rates of men, a simple random sample of 146 men results in a standard deviation of 11.1 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.01 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute; see the accompanying StatCrunch display for this test. What do the results indicate about the effectiveness of using the range rule of thumb with the "normal range" from 60 to 100 beats per minute for estimating o in this case? Assume that the simple random sample is selected from a normally distributed population. 0 Click the icon to view the StatCrunch display. Let 5 denote population standard deviation of the pulse rates of men (in beats per minute}. Identify the null and alternative hypotheses. H0:o V H1 : 6 V (Type integers or decimals. Do not round.) The piston diameter of a certain hand pump is 0.5 inch. The manager determines that the diameters are normally distributed, with a mean of 0.5 inch and a standard deviation of 0.005 inch. After recalibrating the production machine, the manager randomly selects 25 pistons and determines that the standard deviation is 0.0043 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the or = 0.01 level of significance? What are the correct hypotheses for this test? The null hypothesis Is H0: V| 'H v" The alternative hypothesis Is H1: Assume that Friday morning taxi-cab rides have times with a standard deviation of o = 10.2 minutes. A cab driver records times of rides during a Friday afternoon time period and obtains these statistics: n = 13, )_( = 19.9 minutes, s = 12.4 minutes. Use a 0.10 significance level to test the claim that these Friday afternoon times have greater variation than the Friday morning times. Assume that the sample is a simple random sample selected from a normally distributed population. Let 0 denote the population standard deviation of Friday afternoon cab-ride times. Identify the null and alternative hypotheses. H0:o:| H1:o:|_ (Type integers or decimals. Do not round.) Test the given claim. Assume that a simple random sample is selected from a normally distributed population. Use either the P-value method or the traditional method of testing hypotheses. Company A uses a new production method to manufacture aircraft altimeters. A simple random sample of new altimeters resulted in errors listed below. Use a 0.05 level of significance to test the claim that the new production method has errors with a standard deviation greaterthan 32.2 ft, which was the standard deviation for the old production method. If it appears that the standard deviation is greater, does the new production method appear to be better or worse than the old method? Should the company take any action? -41,T7, 20, -?5, -45,11,15,53, -9, -53, -108, -108D What are the null and alternative hypotheses? V HO: o=32.2 ft H1: c>32.2 ft H0: (#322 ft H1: 6:322 ft HO: c>32.2 ft H1: 6:322 ft Find the test statistic. x2= H0: o= 32.2 ft H1: c