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You have obtained a dream internship with a non-profit working to clean up pollution in Doan’s...

You have obtained a dream internship with a non-profit working to clean up pollution in Doan’s Creek. Your agency claims that the concentration of lead in the sediment has risen above .472 c. The EPA will not take action unless you can provide some evidence that this is what is occurring. You take 25 samples and find a mean of .482 c with a standard deviation of .10 c. Test the claim at the .10 level of significance. Be sure to show your hypotheses and the claim. What do you conclude about the hypothesis? What do you conclude about the claim? Do you think the EPA will take action?

Math   Statistics-And-Probability   
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Answer #1

H0: = 0.472

Ha : < 0.472

Test statistics

t = - / S / sqrt(n)

= 0.482 - 0.472 / 0.10 / sqrt( 25)

= 0.5

This is test statistics value.

Critical value at 0.10 level with 24 df = 1.318

Since test statistics value < 1.318, we do not have sufficient evidence to reject null hypothesis.

We conclude at 0.10 level that we fail to support the claim.

Since we do not have evidence that the concentration of lead in the sediment has risen above .472 c,

EPA will not take action.

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