Question 1176872: 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. The total number of pounds of tomatoes each labourer picks in an 8 hour shift.
B. The average number of pounds of tomatoes typically picked by a manual labourer 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. 8 hours
F. 240 pounds
G. The average number of pounds of tomatoes picked by the 100 manual labourers.
H. None of the above
Answer by CPhill(1987)   (Show Source):
You can put this solution on YOUR website! Let's analyze the parameters of interest in this scenario.
**Understanding Parameters**
A parameter is a numerical characteristic of a population. In this case, the population is all manual laborers working for Agri-Giant Corporation.
**Analyzing the Options**
* **A. The total number of pounds of tomatoes each labourer picks in an 8 hour shift.**
* This is a characteristic of individual laborers, not the population as a whole.
* **B. The average number of pounds of tomatoes typically picked by a manual labourer in an 8-hour shift.**
* This is the population mean, which is a key parameter of interest. The corporation's decision is based on this average.
* **C. The variance of the weights of tomatoes typically picked by a manual labourer in an 8-hour day.**
* This is the population variance, another parameter of interest. It indicates the variability in picking amounts.
* **D. 100**
* This is the sample size, not a population parameter.
* **E. 8 hours**
* This is a fixed condition of the study, not a population parameter.
* **F. 240 pounds**
* This is a threshold value for the corporation's decision, not a population parameter.
* **G. The average number of pounds of tomatoes picked by the 100 manual labourers.**
* This is a sample statistic, not a population parameter. This is the sample mean, used to estimate the population mean.
* **H. None of the above**
* This is incorrect, as options B and C are parameters.
**Correct Answers**
The parameters of interest are:
* **B. The average number of pounds of tomatoes typically picked by a manual labourer in an 8-hour shift.**
* **C. The variance of the weights of tomatoes typically picked by a manual labourer in an 8-hour day.**
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