Water safety standards in southern California suggest that if a concentration of adenoviruses in the water is more than 1,000 per liter, further testing would have to be done to determine if the water was hazardous. A random sample of 45 water sources around San Diego showed an average of 1,023 adenoviruses per liter, with a standard deviation of 138.9. Which hypothesis test should be used to determine if the water samples contain more than the allowed 1,000 adenoviruses per liter

Question

Mathematics

Donavan Adams

24 September, 07:27

Water safety standards in southern California suggest that if a concentration of adenoviruses in the water is more than 1,000 per liter, further testing would have to be done to determine if the water was hazardous. A random sample of 45 water sources around San Diego showed an average of 1,023 adenoviruses per liter, with a standard deviation of 138.9. Which hypothesis test should be used to determine if the water samples contain more than the allowed 1,000 adenoviruses per liter

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Lowe · Answer 1

I should use a t-distribution test.

Step-by-step explanation:

A t-distribution test is used in lieu of a standard normal distribution test if the population standard deviation is unknown.

In this case, the population standard deviation is unknown but the sample standard deviation is known, therefore, a t-distribution hypothesis test is appropriate to use.