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Let u denotes the population mean. Hypotheses : To test null hypothesis H. :u=2058 against alternative hypothesis H1 :p #2058 Let i denotes the sample mean, s denotes the sample standard deviation and n denotes the sample size.
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Here, s 25.00 z = 2043.0000, sº = 625.0000, 8 = 25.0000, n = 11, standard error of mean = 7.5378 V11 The test statistic can be written as: Vn(ū – 2058) ta S which under Ho follows a t distribution with n - 1 df. Decision rule / Rejection region : We reject H, at 0.05 level of significance if P-value < 0.05 or if tobs > t0.025,n–1 = 2.228139 0.4- 0.3 0.2 0.1 0.0 - Now, Value of the test statistic : The value of the test statistic tobs V11 (2043.0000 - 2058) 25.0000 = -1.989975 -1.99
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