Question: 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

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)

Does this information indicate that modern grain production is higher? Use a 5% level of significance.
(a) What is the level of significance? State the null and alternate hypotheses.
(b) Compute the sample test statistic. What is the sampling distribution?
(c) Find the P-value of the sample test statistic.
(d) Conclude the test.
(e) Interpret the conclusion in the context of the application.

Region Modern Production 1610 2230 5270 6990 2010 4560 780 6510 Historic Production1590 2360 5161 7170 1920 4760 660 6320 6 7 Region Modern Production 2850 3550 710 2050 2750 2550 6750 3670 Historic Production 2920 2440 1340 2180 3110 2070 7330 2980 9 10 1 31415 16

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