Question

Answer the following questions using the data given below.

Phone Hold Time for Concert
Tickets in Seconds (n = 5)
Operators (X) Wait Time (Y)
4 385
5 335
6 383
7 344
8 288
(a) Choose the correct set of hypotheses for a two-tailed test for a zero slope.
a. H0: β1 ≥ 0 vs. H1: β1 < 0
b. H0: β1 ≤ 0 vs. H1: β1 > 0
c. H0: β1 = 0 vs. H1: β1 ≠ 0

Answer 1

The correct set of hypotheses for a two-tailed test for a zero slope is H0: β1 = 0 vs. H1: β1 ≠ 0.

Step-by-step explanation:

The correct set of hypotheses for a two-tailed test for a zero slope is c. H0: β1 = 0 vs. H1: β1 ≠ 0.

Answer 2

The correct set of hypotheses for a two-tailed test for a zero slope for the given data is H0: β1 = 0 vs. H1: β1 ≠ 0, which means we are testing for any significant linear relationship without specifying its direction.

Step-by-step explanation:

For the student's question regarding the correct set of hypotheses for a two-tailed test for a zero slope, the appropriate null and alternative hypotheses would be:

• H0: β1 = 0 (There is no linear relationship between the number of operators and wait time.)
• H1: β1 ≠ 0 (There is a linear relationship; either positive or negative.)

Thus, the correct choice from the options provided is:

c. H0: β1 = 0 vs. H1: β1 ≠ 0

This two-tailed test is used to establish whether there's a significant linear relationship between the two variables, without specifying the direction of the relationship.