A feed supply company has developed a special feed supplement to see if it will

Question

A feed supply company has developed a special feed supplement to see if it will promote weight gain in livestock. Their researchers report that the 77 cows studied gained an average of 56 pounds and that a 95% confdence interval for the mean weight gain this supplement produces has a margin of error of 11 pounds Five staff members from the marketing department were chosen to interpret the results. Answer parts (a) through (e) (a) The interpretation by the first staff member was that 95% of the cows studied gained between 45 and 67 pounds. Is this interpretation correct? Explain any A. The interpretation is correct. O B The interpretation is not correct The confidence interval addresses tho mean weight gain of the population of all cows, not 95% of the cows in the study. O c. The interpretation is not correct. The confidence interval inicates that the sample of cows attained 95% of the desired weight gain. (b) The interpretation by the second staff member was that one can be 95% sure that a cow fed this supplement will gain between 45 and 67 pounds. Is this interpretation correct? Explain any misinterpretation. A. The interpretation is correct B. The interpretation is not correct. The confidence interval addresses the mean weight gain of the population of all cows, not an individual cow C. The iterpretation is not correct. The confidence interval indicates that the population of co ain. s not an individual cow. attained 95% of the desired weight (c The interpretation by the third staff member was that one can be 95% sure that the average weight gain among the cows in this study was between 45 and 67 pounds. Is this interpretation correct? Explain any misinterpretation. O A. The interpretation is correct. O B. The interpretation is not correct. The average weight gain of the sample was 56 pounds. C. The interpretation is not correct. The confidence interval indicates that the population of cows attained 95% of tho desired weight gain. d) The interpretation by the fourth staff member was that the average weight gain of cows fed this supplement will be between 45 and 67 pounds 95% of te time s this interpretation correct? Explain any misinterpretation. A. The interpretation is correct. B. The interpretation is not correct. The statement implies that the average weight gain varies, which it does not. c The interpretation is not correct. The confidence i ten al indicates that the population of co s mantained 95% of the average weight gained e) The interpretation by the fifth staff member is that if this supplement is tested on another sample of co s there is a 95% chance that ter average ve ht gain will be between 45 and 67 pounds. Is this interpretation correct? Explain any misinterpretation. 0 A. The interpretation is correct. B The interpretation is not correct. The statement implies that there is something special about the ne al The interval could have been d erent depending 0 C, Tho interpretation is not correct. The statement implies that a sample of different cows will yield the same results it would not. on the cows chosen for the sample. Click to select your answer

Explanation / Answer

(a) Incorrect. The 95 % confidence interval is related to population mean of cows, not the sample of cows. So answer is B.

(b)  Incorrect. Same reason as above, the 95 % confidence interval is related to population mean. So answer is B.

(c) Incorrect. We are 100 % sure that the average weight gain of cows is 56. The 95 % confidence interval relates to population mean. So answer is B.

(d) Incorrect. We are 100 % sure that the average weight gain of cows is 56. So answer is B.

(e) correct (A)

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