Assume the samples are random and independent, the populations are normally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.01, is there enough evidence to conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. .... (a) Let u, H2, H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H Ho: H1 = 42 =H3 Ha: At least one mean is different from the others. Cost of batteries by type The claim is the alternative hypothesis. Group size 35 Group size 65 Group size 24/24F 89 100 111 121 124 O 146 86 126 139 141 90 177 180 277 (b) Find the critical value, Fo, and identify the rejection region. 80 The rejection region is F (Round to two decimal where Fo = ded.)

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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.