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Ten problems have been solved by method A and twelve problems of same kind have been...

Ten problems have been solved by method A and twelve problems of same kind have been solved by method B. Mean time required to solve ten problems by method A is 300 seconds. If we solve twelve problems of same kind by method B, the mean time required be 280 second. Assume the population standard deviation for method A is 35 seconds and for method B is 29 seconds. At the .05 significance level, can we conclude that the mean time required to solve the problems by method A is larger than method B?

(a)State the null hypothesis and the alternative hypothesis.

(b)What is the decision rule?

(c)What is the value of the test statistic?

(d) What is your decision regarding the null hypothesis?

(e) What is the p-value?

(f ) Interpret the result.

(Typed answer preferred)

Math   Statistics-And-Probability   
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