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 : 1 = 42 VS. HA: H1 > 2. where 4 is the true mean protein content of milk produced by grass-fed Jersey cattle and u 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: 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 a 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 4 - 2 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.
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 : 1 = 42 VS. HA: H1 > 2. where 4 is the true mean protein content of milk produced by grass-fed Jersey cattle and u 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: 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 a 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 4 - 2 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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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