Question

Emma, a golfer, claims that her drive distance is less than175

meters, on average. Several of her friends do not believe her, so she decides to do a hypothesis test, at a1%

significance level, to persuade them. She hits17

drives. The mean distance of the sample drives is156

meters. Emma knows from experience that the standard deviation for her drive distance is19

meters.

• H
• 0
• :175
• ;H
• a
• :<175
• =0.01
• (significance level)

What is the test statistic (z

-score) of this one-mean hypothesis test, rounded to two decimal places?