(7 points) A researcher for Agri-Giant Corporation wants to study how many pound

Question

(7 points) A researcher for Agri-Giant Corporation wants to study how many pounds of tomatoes are typically picked by a manual labourer in an 8-hour day. The Corporation will consider using picking machines if the labourers cannot pick at least 240 pounds, on average. The researcher randomly sampled 100 farm labourers, found out how many pounds of tomatoes each picked and calculated the sample mean and standard deviation. Part a) What is/are the parameters of interest relevant to this hypothesis test? Choose all parameters that you use to set up the null and alternative hypotheses, as well as those referenced in the assumptions and derivation of the relevant test statistic. A. The average number of pounds of tomatoes typically picked by a manual labourer in an 8-hour shift. B. 8 hours C. The total number of pounds of tomatoes each labourer picks in an 8 hour shift. D. The variance of the weights of tomatoes typically picked by a manual labourer in an 8-hour day. E. The average number of pounds of tomatoes picked by the 100 manual labourers. F. 100 G. 240 pounds H. None of the above

Explanation / Answer

Part(a) Parameter of interest = Only option a is correct here . We will only need the average number of pound of tomatoes typically picked by a manual labourer in an 8 - Hour shift.

Part(b) Option F is correct Null Hypothesis : H0: The mean number of pounds of tomatoes typically picked by a manual laborer in an 8 - Hour shift is eqaul to 240 pounds.

Part (c) Alternative Hypothesis is one sided - RIghttailed. Option B is correct.

Part(d) If we reject the null hypothesis in the given case, as we reject the null hypothesis then there would be sufficient evidence to suggest that the mean number of pounds of tomatoes typically picked by a manual laborer in an 8 - Hour shift is less than 240 pounds. Option D is correct.

Part(e) In this part we have rejected the null hypothesis by claiming that mean number of pounds of tomatoes typically picked by a manual laborer in an 8 - Hour shift is less than 240 pounds. So, it is possible that we are committing the type II error.

Part (f) Here P = 0.02 Here option D is correct. This is the deifinition of p- value.

Part(g) Option A and C is correct as p - value < 0.05 and 0.1 level of significance.

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.