Question

Consider the following hypothesis test: H 0: 20 H a: < 20 A sample of 60 provided a sample mean of 19.6. The population standard deviation is 1.8. a. Compute the value of the test statistic (to 2 decimals). If your answer is negative, use minus "-" sign. b. What is the p-value (to 3 decimals)? c. Using = .05, can it be concluded that the population mean is less than 20? d. Using = .05, what is the critical value for the test statistic (to 3 decimals)? If your answer is negative, use minus "-" sign. What is the rejection rule using the critical value? Reject H 0 if z e. What is your conclusion? Reject H 0 if z is the critical value.

Answer 1

And H = 20 X = 19.6 o- 1,8 n = 45 this is the left tailed test, The rell and alternative diy hothers is, Ho ill zao Hailicao a, test stateling-== = (X-l) folun = (196-20)/1.810us = -1,49 b, Plze-149) = 0.068 .P-value = 0.068 ,2 = 0.05 The dignificance level is a= 0,05 the critical value for a left tallad beat is ze= 0,645 P= 0.068 2 0.0s, it is concluded that the rell bypothuis is not reject. Ho. if zis z= - 1.64 The Critical value rejected

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