Question

Many fast-food restaurants have soft drink dispensers with preset amounts, so that when the operator merely pushes a button for the desired rink the cup is automatically filled. This method apparently saves time and seems to increase worker productivity. A researcher randomly selects 9 workers from a restaurant with automatic dispensers and 9 works from a restaurant with manual dispensers. At a 1% significance level, use the Mann-Whitney U Test to test whether workers with automatic dispensers are significantly more productive. Automatic (Group 1): 153, 128, 143, 110, 152, 168, 144, 137, 118 Manual (Group 2): 105, 118, 129, 114, 125, 117, 106, 92, 126 What is the alternative hypothesis for this study

Answer 1

The alternative hypothesis is:

Hₐ: The workers with automatic dispensers are more productive than restaurant with manual dispensers.

Explanation:

In this case we need to determine whether the workers with automatic dispensers are significantly more productive than restaurant with manual dispensers.

To test this a random sample of 9 workers from a restaurant with automatic dispensers and 9 works from a restaurant with manual dispensers are selected.

The significance level of the test is, α = 0.01.

A Mann-Whitney U test is used to determine whether the randomly selected value from one population is either more than or less than the same value selected from another population.

The hypothesis can be defined as follows:

H₀: The workers with automatic dispensers are as productive as restaurant with manual dispensers.

Hₐ: The workers with automatic dispensers are more productive than restaurant with manual dispensers.