(Solved): It is shown that conventional fertilizers can help plants grow by an average ...

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It is shown that conventional fertilizers can help plants grow by an average of 10 inches. A company claims that their new fertilizer can cause plants grow more than 10 inches on the average. Check this claim using the p-value test with the significance level \( 0.05 \). You are given 15 plants that have sample mean \( 11.4 \) inches and sample standard deviation \( 2.5 \) inches. Consult the t-distribution table as given below for estimating the p-value.