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In: Statistics and Probability

Ghana in West Africa has the best climatic conditions to grow Cocoa. High Quality and well...

Ghana in West Africa has the best climatic conditions to grow Cocoa. High Quality and well dried beans are exported to Belgium to produce one of the finest Chocolates. It is estimated 400 dried beans are required to make one pound (454 grams) of chocolate.

Horticulture studies have shown that Population mean yield is 40 beans with a standard deviation of 5 beans in a pod. Last year, with high Humidity and good amount of rainfall, Sampling 100 Cocoa plantations, sample mean yield of 50 beans in a pod. Use the alpha of 0.10, to test the hypothesis has the yield higher than the average? (One Sided Hypothesis)

a.) State the null and alternate hypothesis

b.) Use the Z statistical modeling to conclude the hypothesis at 0.01 significance level and from the p value.

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