Seconds with a standard deviation

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A new model of Sun workstation is being considered for purchase. The com­ pany is willing to consider purchasing the new model only if it results in faster computing times. The average time for a particular kind of program on the current computer is 35 seconds.

(a) A random sample of 38 runs with the new model results in an average time of 33 seconds with a standard deviation of 5 seconds. Perform the desired hypothesis test by computing a p-value.

(b) How large a sample size would be needed to conduct the test in part

(a) at level o: = 0.05 and have a power of 0.8 for detecting a difference from the null value (35 seconds) of 0.4a-?

Reference no: EM131015207

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