Answer:
Option D) Yes, because the test statistic is -2.01
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 30 pound
Sample mean, = 29.1 pounds
Sample size, n = 20
Alpha, α = 0.05
Sample standard deviation, s = 2 pounds
First, we design the null and the alternate hypothesis
We use one-tailed(left) t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. Thus, there were enough evidence to conclude that the fishing line breaks with an average force of less than 30 pounds.
Option D) Yes, because the test statistic is -2.01