Suppose an experiment is done to compare two fertilizers (called Bandini and Bag-O-BS)used in lettuce fields. Suppose researcherscollected data which consisted of the weights (in grams) of plants after being grown (for a specific amount of time) in soil treated with each kind of fertilizer. Results from the data collectedis shown below:
Let x ≡ weight (in grams) of a randomly selected head of lettuce.
Assume that independent random samples were selected from each of two normally distributed populations.
Sample 1 Sample 2
?1= 100 ?2= 1200
?̅1=496.10 ?̅2=497.28
?1/2=3387.24 ?2/2=2294.41
Perform a hypothesis test to answer the following question using a 0.025 level of significance:
Is there evidence that the true mean plantweight for Bandini isgreater than that of Bag-O-BS? Answer the question by comparing critical values and give the p-value for your result.
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