The depletion time ofa vital resource in a production process is believed to be homily distributed with a mean of ii = 41 minutes and a standard deviation of 0' = 1.8 minutes. A recently appointed production team introduced new efficiencies that they claim make the depletion of the resource slower. To test this claim. a random sample of n = 25 production shifts were taken and the observed mean depletion time of the resource was i = 42.4 minutes. a. In testing the production team's claim. select the appropriate alternative hypothesis. H1 or H\": 03:42.4 Opt-(III Op\" b. At a = 0.095, determine the critical value (2 decimal places}: Critical value =| I c. The value of the test statistith decimal places) =- d. At a = 0.095, select the decisionfoonclusion: Summers\"! v sufcient evidence to conclude that the new efciencies introduced make the depletion of the resource slower