Question

ESTION 3

1. Kentucky River Question 3

   
   Two years ago, the average level of a certain noxious chemical at the mouth of the Kentucky River was 180 parts per million. Since then, new water treatment facilities have been added upstream and dumping regulations have been strictly enforced, leading to the belief that the average level of the pollutant has been reduced. To verify this belief, 49 random samples are taken at the mouth of the river. The mean and standard deviation of these samples are, respectively, 162 parts per million (ppm) and 42 ppm.
   
   What is the p-value of the appropriate test for verifying the belief?

   	a.	0
   	b.	.001
   	c.	.50
   	d.	.005
   	e.	.007

Answer 1

ANSWER::

This is the left tailed test .

The null and alternative hypothesis is

H0 : = 180

Ha : < 180

Test statistic = z

= ( - ) / / n

= (162 - 180) / 42 / 49

Test statistic = -3

P-value = 0.0013

The p-value of the appropriate test for verifying the belief is 0.001

Option:: (b) is correct............

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