A company that manufactures electronic components wants to evaluate the followin

Question

A company that manufactures electronic components wants to evaluate the following hypothesis test, using a level of significance of 0.1 H_0: mu_1 - mu_2 = 0 H_1: mu_1 - mu_2 > 0 A random sample of 15 components was taken 9 were tested at 80 degree F(X_1), and 6 were tested at 120 degree F (X_2). Suppose the resulting test statistic is 1.25 and test statistic has t distribution with 13 degree of freedom. Find the P -value of the test. (Report answer to three decimal places. Answer must be within +/-0.001 of correct value.) During the off -season (January-October), animal scientists at the North Pole train the reindeer to improve their take-off speed. During the most recent off-season, a new training device was used to improve the average time required for reindeer to sprint 200 yards Each of the current reindeer was timed in the 200-yard dash before and after using the device Using the data, the animal scientists wish to test the following hypotheses using a level of significance of 0 05. H_0: mu_1 = mu_2 H_1: mu_1 > mu_2 Note that mu1 denotes the average time (required for an untrained reindeer to sprint 200 yards and mu2 denotes the average time required for a trained reindeer to sprint 200 yards. Suppose data (time before training. time after training) are collected from 9 different render and the resulting test statistic is zero Compute the P-value for this test. (Report answer to three decimal places Answer must be within +/- 0.001 of correct value.)

Explanation / Answer

(10) Using Excel,

P-value = TDIST(1.25,13,1)= 0.117 (ans)

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