Question

it is believed that a particular chemical agent will cause metal to corrode in no more...

it is believed that a particular chemical agent will cause metal to corrode in no more than 30 minutes on average. To test this hypothesis, an experiment was set up where 40 metal pieces were exposed to the chemical agent; it was found that the average time to corrosion was 33 minutes with a standard deviation of 9 minutes. The p-value for the hypothesis test is approximately:

  • A. 0.982
  • B. 0.018
  • C. 0.035
  • D. 0.965
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

this is the LEFT tailed test .  

The null and alternative hypothesis is ,

H0 :   = 30

Ha : < 30

Test statistic = z

= ( - ) / / n

= (33-30) / 9/ 40

= 2.11

P(z <2.11 ) = 0.982 USING Z TABLE

P-value = 0.982

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