Test the given claim. Assume that a simple random sample is Therefore, the null and alternative hypotheses are as shown below. selected from a normally distributed population. Use either the P-value method or the traditional method of testing hypotheses. Hi g = 32.2 ft Company A uses a new production method to manufacture aircraft H, 6 - 32.2 ft altimeters. A simple random sample of new altimeters resulted in CIE errors listed below. Use a 0.05 level of significance to test the claim that the new production method has errors with a standard The test statistic is given by the formula below, where n is the sample size, s* is the deviation greater than 32.2 ft, which was the standard deviation for sample variance, and of is the claimed value of the population variance. the old production method. If it appears that the standard deviation is greater, does the new production method appear to be better or (n - 1)sz worse than the old method? Should the company take any action? X = - 45, 78, - 24, -74, - 43, 11, 19, 54, -6, -51, -107. -107 5 Use technology to determine the sample standard deviation. S = 58.536 'Round to three decimal places as needed.) Calculate the test statistic. Substitute n= 12, s= 58.536, and o = 32.2 into the formula and simplify x= = (0 - 1)s (11)58 536- 32. 2- = 36 35