1 answer

Please answer the 4 circled questions for me. Thank you. 2. Soybeans. Soybean yield in Iowa...

Question:

2. Soybeans. Soybean yield in Iowa was historically low in 2012. Yield of soybeans (bushels per acre) in Iowa during 2012 can be described by a Normal distribution with a mean of 49 bushels per acre and a standard deviation of 7 bushels per acre. Use the 68-95-99.7 Rule (Empirical Rule) to answer the following questions. Note that answers based on the normal table rather than the empirical rule will not get any credit 99.7% of the data are within 3 standard deviations of the mean 95% within 2 standard deviations 63% within 1 standard deviation (a) Use the template above to create a well labeled normal curve for the soybean yield (bushels per acre) in Iowa during 2012. On this graph numerically label the mean (iv), the center 68% (iii) and (v), the center 95% (ii) and (vi) and the center 99.7% (i) and (vii). Report answers (i) through (vii.) in Canvas. You should also use this picture to help you answer the next few questions. db) The middle 68% of counties have a soybean yield between what two values? Cc) What is the value of the 97.5th percentile of soybean yield for counties in Iowa? ) What proportion of counties have a soybean yield between 42 and 63 bushels per acref? (e) 0.15% of counties have a soybean yield more than or equal to what value? What proportion of counties have a soybean yield of at most 35 bushels per acre?

Please answer the 4 circled questions for me.

Thank you.

2. Soybeans. Soybean yield in Iowa was historically low in 2012. Yield of soybeans (bushels per acre) in Iowa during 2012 can be described by a Normal distribution with a mean of 49 bushels per acre and a standard deviation of 7 bushels per acre. Use the 68-95-99.7 Rule (Empirical Rule) to answer the following questions. Note that answers based on the normal table rather than the empirical rule will not get any credit 99.7% of the data are within 3 standard deviations of the mean 95% within 2 standard deviations 63% within 1 standard deviation (a) Use the template above to create a well labeled normal curve for the soybean yield (bushels per acre) in Iowa during 2012. On this graph numerically label the mean (iv), the center 68% (iii) and (v), the center 95% (ii) and (vi) and the center 99.7% (i) and (vii). Report answers (i) through (vii.) in Canvas. You should also use this picture to help you answer the next few questions. db) The middle 68% of counties have a soybean yield between what two values? Cc) What is the value of the 97.5th percentile of soybean yield for counties in Iowa? ) What proportion of counties have a soybean yield between 42 and 63 bushels per acref? (e) 0.15% of counties have a soybean yield more than or equal to what value? What proportion of counties have a soybean yield of at most 35 bushels per acre?

Answers

b) Middle 68% counties have value within 1 standard deviation or (49-7,49+7) or (42,56)

c)97.5th percentile is at 2 standard devaiton to the right or (49+2*7)=63

d)42 is 1 standard deviation to the right and 63 is 2 deviations to the right. Propotion = 0.975-0.5+0.68/2=0.815

f) 35 is 2 deviations away on the left. Proportion below 2 standard deviations = 2.5%

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