With an ever-increasing world population, grain yields are extremely important. A random sample of 16 large grain-producing regions in the world gave the following information about grain production (in kg/hectare). (Reference: Handbook of International Economic Statistics, U.S. Government Documents.)Region12345678Modern Production1618223352796998201645697896518Historic Production1597236351677177192147676656321Region910111213141516Modern Production28533559171720582753255767513678Historic Production29292447134621833116207473352981Does this information indicate that modern grain production is higher? Use a 5% level of significance.(a) What is the level of significance?(b) Compute the sample test statistic. (Use 2 decimal places.)(c) Find the P-value of the sample test statistic. (Use 4 decimal places.)

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With an ever-increasing world population, grain yields are extremely important. A random sample of 16 large grain-producing regions in the world gave the following information about grain production (in kg/hectare). (Reference: Handbook of International Economic Statistics, U.S. Government Documents.)

Region	1	2	3	4	5	6	7	8
Modern Production	1618	2233	5279	6998	2016	4569	789	6518
Historic Production	1597	2363	5167	7177	1921	4767	665	6321

Region	9	10	11	12	13	14	15	16
Modern Production	2853	3559	1717	2058	2753	2557	6751	3678
Historic Production	2929	2447	1346	2183	3116	2074	7335	2981

Does this information indicate that modern grain production is higher? Use a 5% level of significance.

(a) What is the level of significance?

(b) Compute the sample test statistic. (Use 2 decimal places.)

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