The table to the right shows the number of female students who played on a sports team in grades 9thvough 12 for a random sample of 6high schools in a state. At a0.10, can you reject the caim that the mean numbers of female students who played on a sports team are equal for all grades? Perfom a oneway ANOVA test by completing parts a thvough d. Assume that each sample in drawn from a nomal population, hat he samples are independent of each other, and hat he populations have the same variances. 10 1 115 94 (a) identify the claim and state H and Choose the comect answer below OA "a " " (claim) OB H a s HAl least one mean is diferent trom the others H Al least one mean is different from the others. (claim) OC. H Atleast one mean is diferent trom the others. (claim) H " """s " HAl least one mean is different from the others (claim) (b) ldentify the degrees of freedom for the numerator and for the denominator, determine the critical value, and determine the rejection region. The degrees of freedom for the numerator, df i and the degrees of theedom for the denominator, dfo iO The criical value is Fa-O (Round to two decimal places as needed) The rejection region is F n (Round to two decimal places as needed) (e) Calulate the test statistic (Round to thvee decimal places as needed.) (4) Decide to reject or fail to reject e nulhypothesis and interpret the decision in the context of the original claim. Choose the corect decision below. OA Since Fisin he reection region, reject H O. Since Fis not in the rejection region, falto reject H OC. Since Fis not in the rejection region, reject H OD. Since Fis in he rejection region, fail to reject H Interpret the deciion in the context of the original claim There enough evidence at the 10% significance level to he claim that the mean numbers of female students who played on a sports team is

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.