Question

Conduct the appropriate hypothesis test and compute the test statistic.

A company that produces fishing line undergoes random testing to see if their fishing line holds up to the advertised specifications. Currently they are producing 30-pound test line and 20 randomly selected pieces are selected to test the strength. The 20 pieces broke with an average force of 29.1 pounds and a sample standard deviation of 2 pounds. Assuming that the strength of the fishing line is normally distributed, perform the appropriate hypothesis test at a 0.05 significance level in order to determine whether there is sufficient sample evidence to conclude the fishing line breaks with an average force of less than 30 pounds.

Question 25 options:

	Yes, because the test statistic is -2.52
	No, because the test statistic is -2.52
	Yes, because the test statistic is -2.01
	Cannot be determined
	No, because the test statistic is -2.01

Answer 1

Test statistic,
t = (xbar - mu)/(s/sqrt(n))
t = (29.1 - 30)/(2/sqrt(20))
t = -2.01

P-value Approach
P-value = 0.0294
As P-value < 0.05, reject the null hypothesis.

Yes, because the test statistic is -2.01