In 2011, the average yield (bushels per acre) of organic wheat farms was lower t

Question

In 2011, the average yield (bushels per acre) of organic wheat farms was lower than that of conventional farms (McBride and Greene, 2015). Suppose Diego, an agricultural researcher, wanted to determine if the wheat yield in 2015 showed the same trend. He selected 40 organic wheat farms and 40 conventional wheat farms at random and acquired data on the 2015 wheat yield for each farm. The table presents his summary data.

Diego's data set did not contain any outliers, so he ran a two-sample ttest for independent samples with unknown population standard deviations at a significance level of =0.05. The table shows the results of his test.

Complete the following sentences to state Diego's decision and conclusion.

McBride, William; Greene, Catherine. Despite Profit Potential, Organic Field Crop Acreage Remains Low, 2015. United States Department of Agriculture Economic Research Service. http://www.ers.usda.gov/amber-waves/2015-november/despite-profit-potential,-organic-field-crop-acreage-remains-low.aspx (accessed August 10, 2016).

Diego                                                              the                                                              at a significance level

of =0.05. There is                                                              evidence to conclude that the average yield of

                                                             is                                                               the average yield of

                                                            .

Answer Bank

test statistic

null hypothesis

less than

different from

the conventional wheat farms in his sample

greater than

all conventional wheat farms

sufficient

fails to reject

alternative hypothesis

sample size

accepts

all organic wheat farms

the same as

insufficient

rejects

the organic wheat farms in his sample

( you yes need to fill in the black of the folloing sentence usin the aswer bank ) the conclusion is base on the information

Diego                                                              the                                                              at a significance level

of =0.05. There is                                                              evidence to conclude that the average yield of

                                                             is                                                               the average yield of

                                                            .

Population Population
description Sample
size Sample
mean Sample
standard deviation 1 Organic n1=40 x1=37.27 s1=16.32 2 Conventional n2=40 x2=45.13 s2=18.98

Explanation / Answer

Here as the p- value is less than the recommended significance level alpha = 0.05, so we shall reject the null hypothesis and can conclude that average yield for organic farms are less than the average yield for conventional farms. There is enough evidence to accept the alternative hypothesis.

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