Final answer:
The Null Hypothesis (H0) states that there is no difference in product sales between the day shift, the night shift, and the weekend shift, while the Alternative Hypothesis (Ha) indicates a difference.
Step-by-step explanation:
When analyzing the difference in product sales between the day shift, the night shift, and the weekend shift, you are essentially comparing the means of three independent samples. The hypothesis testing process will involve setting up a null hypothesis (H0) and an alternative hypothesis (Ha).
The Null Hypothesis (H0) for this study will state that there is no difference in product sales between the day shift, the night shift, and the weekend shift. In other words, the averages of sales for all three shifts are equal. Mathematically, it can be stated as H0: μ1 = μ2 = μ3, where μ1 is the mean sales for the day shift, μ2 for the night shift, and μ3 for the weekend shift.
The Alternative Hypothesis (Ha) suggests that there is a difference in product sales between at least two shifts. This can be represented as Ha: Not all μi are equal (where i = 1, 2, 3).
To test these hypotheses, you are likely to use an ANOVA (Analysis of Variance) test because it is designed to compare the means of three or more groups, which is exactly what you need in this case. The ANOVA test will allow you to determine if the difference between the groups' means is statistically significant.