Ordinary corn doesnt have as much of the amino acid lysine a

Ordinary corn doesn\'t have as much of the amino acid lysine as animals need in their feed. Plant scientists have developed varieties of corn that have increased amounts of lysine. In a test of the quality of high-lysine corn as animal feed, an experimental group of 20 one-day-old male chicks ate a ration containing the new corn. A control group of another 20 one-day-old male chicks ate a ration that was identical except that it contained ordinary corn. The weight gains (in grams) after 21 days are shown below. Is there good evidence to support the claim that chicks fed high-lysine corn gain more weight? Let ? = 0.05.

Let ?_E = the mean weight gain for chicks fed high-lysine corn
Let ?_C = the mean weight gain for chicks fed ordinary corn

(a) What are the hypotheses of interest?

H₀: ?_d = 0 versus H_a: ?_d > 0 where ?_d = difference in weight calculated as weight on high-lysine corn minus weight on ordinary corn

H₀: ?_E - ?_C = 0 versus H_a: ?_E - ?_C < 0    

H₀: ?_E - ?_C = 0 versus H_a: ?_E - ?_C ? 0

H₀: ?_E - ?_C = 0 versus H_a: ?_E - ?_C > 0

Two of the above are correct

A side-by-side boxplot of the data is shown below:

(b) Are the conditions for conducting an Independent Samples T Test satisfied?

No, because although the data was gathered randomly, there are less than 30 chicks in each group.

Yes, because the data was gathered randomly and there are more than 30 chicks.    

Yes, because the data was gathered randomly, neither group is strongly skewed, and there are no extreme outliers in either group.

< 0.0001

0.0310    

0.0091

0.0092

0.4575

(d) Complete the conclusion statement below.

\"There is evidence at the ________  level to conclude that, on average, chicks fed high-lysine corn gain more weight.\"

Solution

(a)H₀: ?_E - ?_C = 0 versus H_a: ?_E - ?_C > 0

-----------------------------------------------------------------------------------------------

(b)Yes, because the data was gathered randomly, neither group is strongly skewed, and there are no extreme outliers in either group.

-----------------------------------------------------------------------------------------------

(c)0.0092

-----------------------------------------------------------------------------------------------

(d)There is evidence at the __0.05______  level to conclude that, on average, chicks fed high-lysine corn gain more weight.