Farmer Yumi also owns strawberry farms. She used a new fertilizer for her strawberries this year, so she wants to see if the new fertilizer made any difference in the weight of her strawberries. She does not know the population mean weight of her last year's strawberries, so she uses sample data from the two years. The table below summarizes the information about the samples of her strawberries from the two years.

Farmer Yumi also owns strawberry farms. She used a new fertilizer for her strawberries this year, so she wants to see ifthe new fertilizer made any difference in the weight of her strawberries. She does not know the population mean weight of her last years strawberries, so she uses sample data from the two years. The table below summarizes the information about the samples of her strawberries from the two years. This year Last year Sample size 45 45 Sample mean weight 15.8 grams 14.5 grams Sample standard deviation 5.4 grams 4.9 grams of weight a. Construct a 95% condence interval for the population mean difference in weight between this year's and last year's strawberries. Show your work. (4 points) b. Using the confidence interval, what is your decision for the hypothesis test in which you check with a: 0.05 whether this years mean weight of strawberries is different from last years? Explain. (2 points)