(In some of the exercises that follow, we must make assumptions such as the existence of normal distributions with equal variances.) Plants convert carbon dioxide (CO2) in the atmosphere, along with water and energy from sunlight, into the energy they need for growth and reproduction. Experiments were performed under normal atmospheric air conditions and in air with enriched CO2 concentrations to determine the effect on plant growth. The plants were given the same amount of water and light for a four week period. The following table gives the plant growths in grams: Normal Air 4.67 4.21 2.18 3.91 4.09 5.24 2.94 4.71 4.04 5.79 3.80 4.38 Enriched Air 5.04 4.52 6.18 7.01 4.36 1.81 6.22 5.70 (In some of the exercises that follow, we must make assumptions such as the existence of normal distributions with equal variances.) Let X equal the fill weight in April and Y the fill weight in June for an 8-pound box of bleach. We shall test the null hypothesis/: Jx-Wy = 0 against the alternative hypothesis H1: Hx - My > 0 given that n = 90 observations of X yielded x = 8.10 and Sy = 0.054. (a) What is your conclusion if a = 0.05? Hint: Do the variances seem to be equal? (b) What is the approximate p-value of this test