Question

Daniel, a long jumper, claims that his jump distance is less than 15 feet, on average. Several of his teammates do not believe him, so he decides to do a hypothesis test, at a 10% significance level, to persuade them. He makes 11 jumps. The mean distance of the sample jumps is 14.2 feet. Daniel knows from experience that the standard deviation for his jump distance is 1.7 feet.

• H0H0: μ≥15μ≥15; HaHa: μ<15μ<15
• α=0.1α=0.1 (significance level)

What is the test statistic (zz-score) of this one-mean hypothesis test, rounded to two decimal places?

Provide your answer below:

Answer 1

Test Statistic

z = -1.56