8. The managing director of a social media marketing company is considering a new bonus scheme designed to increase sales volume. Currently, the mean sales value per member of the selling team is €13,300 per month. The MD is planning a research study, in which a sample of sales personnel will be allowed to sell under the new bonus scheme for a one-month period, to see whether the scheme increases sales value.
a. Formulate the null and alternative hypotheses most appropriate for this research situation.
10. The manager of the Costa Resort Hotel stated that the mean weekend guest bill is €600 or less. A member of the hotel’s accounting staff noticed that the total charges for guest bills have been increasing in recent months. The accountant will use a sample of weekend guest bills to test the manager’s claim.
a. Which form of the hypotheses should be used to test the manager’s claim? Explain.
H0 : m ³ 600
H1 : m < 600
H0 : m £ 600
H1 : m > 600
H0 : m = 600
H1 : m ¹ 600
12. The label on a yoghurt pot claims that the yoghurt contains an average of one gram of fat or less. Answer the following questions for a hypothesis test that could be used to test the claim on the label.
a. Formulate the appropriate null and alternative hypotheses.
b. What is the Type I error in this situation? What are the consequences of making this error?
c. What is the Type II error in this situation? What are the consequences of making this error?
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