A botanical research center is studying a new fertilizer’s impact on plant growth. In a
trial, 25 sunflower plants are treated with the fertilizer, and after four weeks, their heights are measured. The
sample shows a mean height of 48.3 cm with a standard deviation of 2.1 cm. Assume the plant heights are
normally distributed. Use α = 0.10.
(a) Is there enough evidence to support the claim that the fertilizer leads to a mean plant height of 47.5
cm?
(b) Is it believable that the average height of the plants exceeds 45 cm?