The depletion time of a vital resource in a production process is believed to be normally distributed with a mean of=42=42minutes and a standard deviation of=2.6=2.6minutes. 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 ofn=18n=18production shifts were taken and the observed mean depletion time of the resource wasx=42.5x=42.5minutes.

1. In testing the production team's claim, select the appropriate alternative hypothesis,H1orHa:H1orHa:
   • >42>42
   • <42<42
   • 4242
   • >42.5>42.5
   • 42.542.5
   • <42.5<42.5

1. At=0.04=0.04, determine the critical value(2 decimal places): Critical Value =

1. The value of the test statistic(2 decimal places)=

1. At=0.04=0.04, select the decision/conclusion: Select an answer

- Reject the null hypothesis.

- Fail to reject the null hypothesis. Select an answer _____ sufficient evidence to conclude that the new efficiencies introduced make the depletion of the resource slower.

- There is not

- There is