You are a senior in the agricultural sciences department of NCSU doing an internship at a local dairy farm. Farmer Bill is an expert dairy farmer but has no background in quantitative decision making. Bill claims that the milk produced by his grass-fed Jersey cattle has higher protein content than the milk made by his grain-fed Jersey cattle. His evidence? He says he can taste the difference. You decide to put Bill's claim to the test. You randomly sample 21 grass-fed Jersey cattle and 18 grain- fed Jersey cattle, independently of one another, and obtain a sample of milk from each cow. Both histograms appear approximately normal. You test Ho : 41 = Hz VS. HA : 1 > Hz, where i is the true mean protein content of milk produced by grass-fed Jersey cattle and µz is that for the grain-fed cattle. Your test statistic is 1.98. Based on this information, which of the following is true ? Select one or more: O a. The sample mean protein content for the milk samples from the grass-fed cattle you collected was greater than the sample mean protein content for the milk samples from grain-fed cattle you collected. O b. There is sufficient evidence at an a = 0.05 level to suggest the population mean protein content of milk from grass-fed cattle is greater than the population mean protein content of milk from grain-fed cattle, based on the collected sample. O c. A 90% confidence interval for 1 – H2 calculated based on the collected sample would contain 0. O d. The population mean protein content of milk from grass-fed cattle is greater than the population mean protein content of milk from grain-fed cattle. O e. There is sufficient evidence at an a = 0.05 level to suggest the population mean protein content of milk from grass-fed cattle is equal to the the population mean protein content of milk from grain-fed cattle, based on the collected sample.

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You are a senior in the agricultural sciences department of NCSU doing an internship at a local dairy
farm. Farmer Bill is an expert dairy farmer but has no background in quantitative decision making.
Bill claims that the milk produced by his grass-fed Jersey cattle has higher protein content than the
milk made by his grain-fed Jersey cattle. His evidence? He says he can taste the difference. You
decide to put Bill's claim to the test. You randomly sample 21 grass-fed Jersey cattle and 18 grain-
fed Jersey cattle, independently of one another, and obtain a sample of milk from each cow. Both
histograms appear approximately normal.
You test Ho : 41 = Hz VS. HA : 1 > Hz, where i is the true mean protein content of milk
produced by grass-fed Jersey cattle and µz is that for the grain-fed cattle. Your test statistic is 1.98.
Based on this information, which of the following is true ?
Select one or more:
O a. The sample mean protein content for the milk samples from the grass-fed cattle you
collected was greater than the sample mean protein content for the milk samples from
grain-fed cattle you collected.
O b. There is sufficient evidence at an a = 0.05 level to suggest the population mean protein
content of milk from grass-fed cattle is greater than the population mean protein content of
milk from grain-fed cattle, based on the collected sample.
O c. A 90% confidence interval for 1 – H2 calculated based on the collected sample would
contain 0.
O d. The population mean protein content of milk from grass-fed cattle is greater than the
population mean protein content of milk from grain-fed cattle.
O e. There is sufficient evidence at an a = 0.05 level to suggest the population mean protein
content of milk from grass-fed cattle is equal to the the population mean protein content of
milk from grain-fed cattle, based on the collected sample.
Transcribed Image Text:You are a senior in the agricultural sciences department of NCSU doing an internship at a local dairy farm. Farmer Bill is an expert dairy farmer but has no background in quantitative decision making. Bill claims that the milk produced by his grass-fed Jersey cattle has higher protein content than the milk made by his grain-fed Jersey cattle. His evidence? He says he can taste the difference. You decide to put Bill's claim to the test. You randomly sample 21 grass-fed Jersey cattle and 18 grain- fed Jersey cattle, independently of one another, and obtain a sample of milk from each cow. Both histograms appear approximately normal. You test Ho : 41 = Hz VS. HA : 1 > Hz, where i is the true mean protein content of milk produced by grass-fed Jersey cattle and µz is that for the grain-fed cattle. Your test statistic is 1.98. Based on this information, which of the following is true ? Select one or more: O a. The sample mean protein content for the milk samples from the grass-fed cattle you collected was greater than the sample mean protein content for the milk samples from grain-fed cattle you collected. O b. There is sufficient evidence at an a = 0.05 level to suggest the population mean protein content of milk from grass-fed cattle is greater than the population mean protein content of milk from grain-fed cattle, based on the collected sample. O c. A 90% confidence interval for 1 – H2 calculated based on the collected sample would contain 0. O d. The population mean protein content of milk from grass-fed cattle is greater than the population mean protein content of milk from grain-fed cattle. O e. There is sufficient evidence at an a = 0.05 level to suggest the population mean protein content of milk from grass-fed cattle is equal to the the population mean protein content of milk from grain-fed cattle, based on the collected sample.
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