Question

You wish to test Ho:u = 61.5 versus Haid < 61.5 at a significance level of 0.10. You obtain a sample of size 17 with a mean of 59.4 and a standard deviation of 17.2. You believe that the population is normally distributed. ROUND YOUR ANSWERS TO THREE DECIMAL PLACES. (a). What is the test statistic? Do not round your interim calculations. (b). Using your answer from part (a), find the p-value. (c). What is the critical value for this test? (d). The correct decision is to Select an answer the null hypothesis. (e). There is Select an answer evidence to conclude that the population mean is less than 61.5.

Answer 1

Page solution? Given that, X = sa. 4 6 = 17.2 na 17 u= 61.5 a=0.10 Ho: u=61.5 Hailu C6115 this is left -tailed test Test statistic, z = x z - Sa.4 - 61.5 1702/VIZ Z- -0.503 The test statistie Z =-0.503 P-value = P(Z <-0.503) = 0.3075 = 0.308 P-value ]

d=0.10 Zd=20.10 = -1.282 The critical value = -1.282 4 - O. 503 Test statistic – 1.282 critical value Reject the null hypothesis evidence There is to conclude population than sufficent that the mean is 61.5 less