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Answer with Step-by-step explanation:
Since we have given that
Average per week in sales = $8000
Steve hopes that the results of a trial selling period will enable him to conclude that the compensation plan increase the average sales per salesperson
So, the appropriate null and alternate hypothesis would be
[tex]H_0:\mu=8000\\\\H_a:\mu>8000[/tex]
b. What is the Type I error in this situation? What are the consequences of making this error?
Type 1 error are those errors in which null hypothesis are supposed to be rejected, but it does not get rejected.
It means sales per week is greater than $8000 but in actual it is not.
c. What is the Type II error in this situation? What are the consequences of making this error?
Type 2 are error are those errors in which null hypothesis are supposed to be accepted but it get rejected.
It means average sales per week is actually $8000 but it is calculated that average sales is less than $8000.
The sales per week are greater than $8,000 but in actuality, it is not and the average sales per week are actually $8,000 but it is calculated that average sales are less than $8,000.
What are null hypotheses and alternative hypotheses?
In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
Carpetland salespersons average $8,000 per week in sales.
Steve Contois, the firm’s vice president, proposes a compensation plan with a new selling incentive.
Steve hopes that the results of a trial selling period will enable him to conclude that the compensation plan increases the average sales per salesperson.
a) The null hypothesis and alternative hypothesis will be
[tex]\rm H_o: \mu = 8000\\\\H_a: \mu > 8000[/tex]
b) Type-1 error are those errors in which null hypothesis are supposed to be rejected, but it does not get rejected. It means sales per week are greater than $8,000 but in actuality, it is not.
c) Type-2 errors are those errors in which null hypotheses are supposed to be accepted, but get rejected. It means average sales per week are actually $8,000 but it is calculated that average sales are less than $8,000.
More about the null hypotheses and alternative hypotheses link is given below.
https://brainly.com/question/9504281
