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Hypothesis Testing Fundamentals (Part 5 of 5) Suppose you are testing ground wat

ID: 3133813 • Letter: H

Question

Hypothesis Testing Fundamentals (Part 5 of 5)

Suppose you are testing ground water samples for the presence of salt. A level of salt of more than 50 mg/L is an indication that remedial action is required. You decide to perform a statistical hypothesis test to determine from the salt concentrations in 16 ground water samples whether the salt concentration is above 50 mg/L. Which of the following tests would you use?

This one-sided test:

H0: = 50 mg/L

H1: > 50 mg/L

This two-sided test:

H0: > 50 mg/L

H1: < 45 mg/L

This one-sided test:

H0: = 50 mg/L

H1: < 50 mg/L

This two-sided test:

H0: = 50 mg/L

H1: 50 mg/L

This one-sided test:

H0: = 50 mg/L

H1: > 50 mg/L

This two-sided test:

H0: > 50 mg/L

H1: < 45 mg/L

This one-sided test:

H0: = 50 mg/L

H1: < 50 mg/L

This two-sided test:

H0: = 50 mg/L

H1: 50 mg/L

Explanation / Answer

as the data is to be collected about the ground water and the content of the water needs to be tested therefore it will be a one sided test with the null hypothesis = Ho = u=50

and the alternate hypothesis = Ha=u>50ml

as we need to check if the content is higher then the 50ml

therefore option A is correct