Question

Two equal groups of seedlings, and equal in height, were selected for an experiment. One group of seedlings was fed Fertilizer A, and the other group with Fertilizer B. The mean heights of the two groups of seedlings, their standard deviations, and sample sizes are listed below. Assume simple random sampling, independence, and normally distributed data. Alpha = 0.025. Sample Mean Height (inches, Std Deviation (inches), Sample Size Fertilizer A 12.92, 0.25, 15 Fertilizer B 12.63, 0.20, 13 What is the null hypothesis?

Using the data in the previous question, what is the critical t value using the simplified textbook method and Tables when testing the claim that Fertilizer A is significantly greater than Fertilizer B?   Record the answer to three decimal places (x.xxx).

Using the data from the previous question, what is the t-statistic rounded off to one decimal place ? (x.x)

Answer 1

Let denote mean height of fertilizer A and B respectively.

To test against

Hence we can conclude that there is sufficient evidence to support the claim that Fertilizer A is significantly greater than Fertilizer B.