Hypothesis Testing Fundamentals (Part 3 of 5) Suppose you are determining whethe

Question

Hypothesis Testing Fundamentals (Part 3 of 5)

Suppose you are determining whether the depth of groves cut into aluminum by a milling machine is equal to 1.7 mm. You cut 14 groves, then measure the depth of each one. With these measurements, you perform a statistical hypothesis test to determine whether the groove depth is equal to 1.7 mm. Which of the following tests would you use?

This one-sided test:

H0: = 1.7 mm

H1: < 1.7 mm

This one-sided test:

H0: = 1.7 mm

H1: > 1.7 mm

This two-sided test:

H0: = 1.7 mm

H1: 1.7 mm

This two-sided test:

H0: > 1.7 mm

H1: = 1.5 mm

This one-sided test:

H0: = 1.7 mm

H1: < 1.7 mm

This one-sided test:

H0: = 1.7 mm

H1: > 1.7 mm

This two-sided test:

H0: = 1.7 mm

H1: 1.7 mm

This two-sided test:

H0: > 1.7 mm

H1: = 1.5 mm

Explanation / Answer

Since you want to determine whether the groove depth is equal to 1.7 mm [and not particular on the direction < or >], then this is a two tailed test,

OPTION C: This two-sided test:
H0: = 1.7 mm
H1: 1.7 mm [ANSWER]

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