15 multiple choice 10 points\na grocery store received three shipments of bags of pineapples: one from farm…

15 multiple choice 10 points\na grocery store received three shipments of bags of pineapples: one from farm rodriguez, one from farm pacheco, and one from farm maria santos altagracia hernandez. the distributions of the weight of a bag are unimodal and symmetric for all three shipments. the number of bags and the mean and standard - deviation, in ounces (oz), for each shipment are shown in the table.\n| farm | number of bags | mean (μ) | standard deviation (σ) |\n|--|--|--|--|\n| rodriguez | 150 | 19.0 | 7 |\n| pacheco | 150 | 19.0 | 2 |\n| maria santos altagracia hernandez | 150 | 19.0 | 2 |\nwhich of the following statements is true?\nthe shipment from farm rodriguez is most likely to have the greatest number of bags that weigh less than 19 oz.\nthe shipments from all three farms are all likely to have an approximately equal number of bags that weigh less than 19 oz.\nthe shipment from farm pacheco is most likely to have the greatest number of bags that weigh less than 19 oz.\nthe shipment from farm maria santos altagracia hernandez is most likely to have the greatest number of bags that weigh less than 19 oz.\nthe shipments from farms pacheco and maria santos altagracia hernandez are the only shipments that are likely to have an approximately equal number of bags that weigh less than 19 oz.

15 multiple choice 10 points\na grocery store received three shipments of bags of pineapples: one from farm rodriguez, one from farm pacheco, and one from farm maria santos altagracia hernandez. the distributions of the weight of a bag are unimodal and symmetric for all three shipments. the number of bags and the mean and standard - deviation, in ounces (oz), for each shipment are shown in the table.\n| farm | number of bags | mean (μ) | standard deviation (σ) |\n|--|--|--|--|\n| rodriguez | 150 | 19.0 | 7 |\n| pacheco | 150 | 19.0 | 2 |\n| maria santos altagracia hernandez | 150 | 19.0 | 2 |\nwhich of the following statements is true?\nthe shipment from farm rodriguez is most likely to have the greatest number of bags that weigh less than 19 oz.\nthe shipments from all three farms are all likely to have an approximately equal number of bags that weigh less than 19 oz.\nthe shipment from farm pacheco is most likely to have the greatest number of bags that weigh less than 19 oz.\nthe shipment from farm maria santos altagracia hernandez is most likely to have the greatest number of bags that weigh less than 19 oz.\nthe shipments from farms pacheco and maria santos altagracia hernandez are the only shipments that are likely to have an approximately equal number of bags that weigh less than 19 oz.

Answer

Explanation:

Step1: Understand normal - distribution properties

Since the distributions are unimodal and symmetric, they are approximately normal. The mean $\mu = 19$ oz for all three farms. In a normal distribution, 50% of the data lies below the mean.

Step2: Analyze the number of bags and standard - deviation

The number of bags for each farm is $n = 150$. For a normal distribution, the proportion of data below the mean is 0.5 regardless of the standard - deviation.

Answer:

The shipments from all three farms are all likely to have an approximately equal number of bags that weigh less than 19 oz.