Question
BIO 3250 Biostats Exercise 10Comparing Two Means (B)A farmer would like to determine if there is a difference in crop height due to the application
BIO 3250 Biostats Exercise 10Comparing Two Means (B)A farmer would like to determine if there is a difference in crop height due to the application of two different fertilizers (fertilizer A and fertilizer B). His 5 fields are divided in half. Half of each field is fertilized with fertilizer A, while the other half is fertilized with fertilizer B. After the growing season, the height of the crop (in inches) is recorded for each. The data are as follows:Crop Height (inches)Field: 1 2 3 4 5Fertilizer A :25,20,18,24,16Fertilizer B :29,22,15,25,27The data have been checked for normality and do follow a normal distribution.1. Are these two samples independent or paired? If paired, what are the samples paired by?2. What are the null and alternative hypotheses for the question that the farmer is asking?3. Calculate t for these data.4. What is the p-value that corresponds to t for these data?5. Should the farmer accept or reject the null hypothesis?6. What conclusion can be made regarding the population of crops fertilized withfertilizer A compared to the population of crops fertilized with fertilizer B?
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