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Batman is experimenting with new metallic alloys for plating/coating his throwable batarangs and the average distance the batarangs can travel. There are four metal alloys under consideration: A, B, C, and D. Batman randomly selects 242 batarangs from his arsenal and randomly assigns them to be plated using only one of the metallic alloys A, B, C, or D. The batarangs were tested, in a controlled setting, by Batman throwing them down his firing range and the distance travelled was recorded by the Batcomputer. The following partially filled-in ANOVA table was obtained. Assume that all the required assumptions for the ANOVA analysis are met. At a 0.01 significance level, carry out the appropriate hypothesis test to determine if there are differences in the mean distance travelled between batarangs covered with different metallic alloy a) What is the distribution of the test statistic under the null hypothesis? Select one: F-distribution with numerator df=4 and denominator df=238 F-distribution with numerator df=238 and denominator df=241 F-distribution with numerator df=3 and denominator df=241 F-distribution with numerator df=4 and denominator df=241 F-distribution with numerator df=3 and denominator df=238 b) What is the pooled estimate of the common standard deviation? Select one: 11.783 6.64 44.093 1944.162 138.85 c) What is the value of the test statistic? Select one: 3.149 0.318 1998.627 2.362 2.392 d) Which of the following is a valid conclusion for this hypothesis test? Select one: There is not enough information given in the question to make a conclusion. There is enough evidence to conclude that the mean distance travelled by the batarangs is the same for all four types of metallic alloy plating. There is not enough evidence to conclude that the mean distance travelled by the batarangs is the same for all four types of metallic alloy plating. There is enough evidence to conclude that there are some differences in the mean distance travelled between batarangs covered with different metallic alloys. There is not enough evidence to conclude that there are some differences in the mean distance travelled between batarangs covered with different metallic alloys