I just need E and F answered 2. Soybeans. Soybean yield in Iowa was historically
ID: 3072026 • Letter: I
Question
I just need E and F answered
2. Soybeans. Soybean yield in Iowa was historically high in 2016 Yield of soybeans (bushels per acre) in Iowa during 2016 can be described by a Normal distribution with a mean of 60 bushels per acre and a standard deviation of 3.5 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 3 standard deviations of the mean 95% within 2 standard deviations 68% 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 2016. 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% (j) and (vii). Report answers () through (vii) in Canvas. You should also use this picture to help you answer the next few questions (b) The middle 68% of counties have a soybean yield between what two values? 56. 5, 63.5 (c) What is the value of the 97.5th percentile of soybean yield for counties in Iowa? . (d) What proportion of counties have a soybean yield between 53 and , (e) 0.15% of counties have a soybean yield more than or equal to what (f) What proportion of counties have a soybean yield of at most 56.5 63.5 bushels per acre? value? bushels per acre?Explanation / Answer
Answer:
e).
we know that 99.7% of values with in the 3 sd limits.
There fore 0.30% falls outside the range of 3 sd limits.
There fore 0.15% falls below mean-3sd and 0.15% falls above mean+3sd.
The required value = 60+3*3.5 =70.5
f).
56.5 = 60-1*3.5 = mean-1*sd
We know that 68% falls within the one standard deviation from the mean.
There fore 16% falls below mean-1sd and 16% falls above mean+1sd
The required proportion = 0.16.