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Chapter 10: Ex 2) A Sample of 36 observations is selected from a normal population. The sample mean is 12, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.01 significance level. EX. 10) Given the following hypotheses: H 0 : µ = 400 H1: µ ≠ 400 A random sample of 12 observations is selected from a normal population. The sample mean was 407 and the sample S.D 6. Using the 0.1 significance level: a. State the decision rule. b. Compute the value of the test statistic c. What is your decision regarding the null hypothesis? EX 12) The management of White Industries considering a new method of assembling its golf cart. The present method requires 42.3 minutes, on the average, to assemble a cart. The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of sample was 2.7 minutes. Using the .10 level of significance, can we conduct that the assembly time using the new method is faster? a. What is the decision rule? b. Compute the value of test statistic. c. What is your decision regarding Ho? Ex 16) with the given hypotheses: A random sample of six resulted in the following values: 118, 105, 112, 119, 105 and 111. Assume a normal population a. Using the .05 significance level, determine the decision rule?