Question

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)Which of the following is/are parameter(s) of interest with respect to the new investigation here? (Select all that apply)

A. 8 hours
B. The total number of pounds of tomatoes each labourer picks in an 8 hour shift.
C. The variance of the weights of tomatoes typically picked by a manual labourer in an 8-hour day.
D. 100
E. The average number of pounds of tomatoes typically picked by a manual labourer in an 8-hour shift.
F. 240 pounds
G. The average number of pounds of tomatoes picked by the 100 manual labourers.
H. None of the above

Answer 1

(a) The average number of pounds of tomatoes typically picked by a manual labourer in an 8-hour shift.
(b) The mean number of pounds of tomatoes typically picked by a manual labourer in an 8-hour shift is 240 pounds.
(c) left-tailed two-sided.
(d) There is sufficient evidence to suggest the mean number of pounds of tomatoes typically picked by a manual labourer in an 8-hour shift is less than 240 pounds.
(e) it is possible that you are making a Type I error.
(f) the probability of the mean number of pounds of tomatoes typically picked by a manual labourer in an 8-hour shift being 240 pounds or less is 0.02, if indeed the true mean number of pounds of tomatoes typically picked is 240 pounds.
(g) reject the null hypothesis at α=0.05 level of significance.