MGM600-0803B-02 Applied Managerial Decision-Making - Phase 3 Essay - 1

MGM600-0803B-02 Applied Managerial Decision-Making - Phase 3 Individual Project - Essay Example Thus the chi-square test hypothesis may be described as follows: The test statistics is calculated by the formula T = (n-1) (s/ ÏÆ'0)2. The main element of this formula is the ratio s/ ÏÆ'0 which compares the ratio of the sample standard deviation to the target standard deviation and n is the sample size and s is the sample standard deviation. The more this ratio deviates from 1, the probability of rejecting the null hypothesis increases. Here X2 (., n-1) is the critical value of the chi-square distribution where n-1 represents the degree of freedom. X2a is considered as the upper critical value and X2 1-a is considered as the lower critical value in the chi-square distribution. The chi-square test is performed to obtain answer questions like, whether the standard deviation is less than the predetermine value of standard deviation, whether the standard deviation is greater than the predetermine value and whether the standard deviation is equal to the predetermined value (Engineering Statistics Handbook. 1.3.5.8. Chi-Square Test for the Standard Deviation). The F-test is conducted to check whether the standard deviation of two set of population or sample is equal. Like chi-square test this can either be a two-tailed test or a one-tailed test. The two-tailed version tests against the alternative that the standard deviations is not equal and the one-tailed version tests in one direction, that is the standard deviation from the first population is either greater than or less than the second population’s standard deviation . The option of the test is confirmed by the problem. This is applied in a case while testing a new process and when a firm wish to know if the new method is less variable than the old one. F hypothesis test is represented as follows: Chi-square distribution can be found out using a statistical