The better-selling candies are often high in calories. Assume that the following data show the calorie content from samples of M&M's, Kit Kat, and Milky Way II. M&M's Kit Kat 210 220 250 240 210 205 215 235 245 230 Milky Way II 200 218 202 190 180 Test for significant differences among the calorie content of these three candies. State the null and alternative hypotheses. O Ho: Median MM = Median KK = Median Mw H₂: Median MM > Median KK > Median Mw O Ho: All populations of calories are identical. H: Not all populations of calories are identical. O Ho: Median MM = Median KK Median Mw Ha: Median MM # MedianKK # Median Mw O Ho: Median MM MedianKK Median MW H₂: Median MM = MedianKK = Median Mw O Ho: Not all populations of calories are identical. H: All populations of calories are identical. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = At a 0.05 level of significance, what is your conclusion? O Reject Ho. There is sufficient evidence to conclude that there is a significant difference among the calorie content of these three candies. O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference among the calorie content of these three candies.

1. v₁ = (4, −2, 6, −4), V₂ = (6, −3, 9, −6)

Suppose there is a bowl of 22 Hershey's Miniatures candy bars on the table containing 3 Mr. Goodbars (G), 8 Krackel bars (K), and 11 Hershey chocolate bars (H). Someone already ate all the Special Dark chocolate bars since dark chocolate is good for you. You are golng to grab 5 bars, without replacement. (Who'd want to replace them? We'd still eat 'em). Setup and calculate each probability below. Express your answer in decimal form, including as many decimal places as your calculator will give you. P(all 5 are Hershey chocolate bars): Set up: Result: P(3 are Mr. Goodbars, and 2 are Krackel bars): Set up: Result: P(3 are Krackel bars, and 2 are Hershey chocolate bars): Result: Set up: P(nane of the 5 bars are Hershey chocolate bars): Besult Set up:

If n(B) = 24, n(A ∩ B) =5, and n(A ∪ B) = 42, find n(A). 24 23 25 21