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21) Mars Inc., the company that produces M & M candies, claims that 24% of M & M candies are blue. A sample the author of your textbook conducted (see Data Set 13 in the 10th edition of this text) showed 13 Red, 8 Brown, 25 Orange, 8 Yellow, 27 Blue, and 19 Green M & M's. How many total M & M's were in this sample? 13+8+ 25+8+27+19 a) 98 b) 100 Ho:p 2 24% a) Ha: p < 24% Original claim c) 27 22) See problem #21. Use a 0.05 significance level to test the claim of Mars Inc. that 24% of their M & M's are blue. State the null and alternative hypotheses. Ho:p ≤ 24% b) Ha:p> 24% has equality 23) See problems # 21 & 22. State the critical value. a)-1.64 b) 1.64 d) 83 Ho:p=24% Ho:p # 24% Ha:p+24%) Ha: p=24% c) +1.64 d) ±1.96

24) See problemS #21 & 22. Calculate the test statistic. a)-0.71 b) 0.70 25) See problems #21 & 22. Calculate the pvalue. (5)0.4824 b) 0.7024 c) 0.48 c) 0.2700 26) See problems #21 & 22. Calculate the appropriate confidence interval. a) (19.7%, 34.3 %) b) (19.0%, 35.0%) c) (18.3%, 35.7%) d)-0.59 d) 0.6319 d) (15.6%, 38.4%) 27) See problems #21 & 22. State the technical conclusion based on the traditional method. a) The test statistic is closer to zero than is the critical value; Reject Ho. The test statistic is closer to zero than is the critical value; FTR Ho. c) The test statistic is further from zero than is the critical value; FTR Ho. d) The test statistic is further from zero than is the critical value; Reject Ho. 28) See problems #21 & 22. State the technical conclusion based on the pvalue method. a) The pvalue is less than alpha; I conclude FTR Ho. 6)The pvalue is greater than alpha; I conclude FTR Ho. c) The pvalue is less than alpha; I conclude Reject Ho. d) The pvalue is greater than alpha; I conclude Reject Ho. 29) See problems #21 & 22. State the technical conclusion based on the confidence interval method. a) The confidence interval contains 24% ; I conclude Reject Ho. b) The confidence interval does not contain 24% ; I conclude Reject Ho. c) The confidence interval contains 24%; I conclude FTR Ho. eir M Th

d) The confidence interval does not contain 24% ; I conclude FTR Ho. 30) See problems # 21 & 22. State the non-technical conclusion. a) There is sufficient evidence to warrant rejection of the claim of Mars Inc. that 24% of their M & M's are blue. There is not sufficient evidence to warrant rejection of the claim of Mars Inc. that 24% of their M & M's are blue. c) The sample data support the claim of Mars Inc. that 24% of their M & M's are blue. d) There is not sufficient sample evidence to support the claim of Mars Inc. that 24% of their M & M's are blue. 31) Use your results of the last 10 problems. Did you prove that 24% of M & M candies are blue, as Mars Inc. claims? Explain. Bear in mind that a 'yes' or 'no' or other one-word answer is always wrong while a well-written statement with proper grammar and spelling exhibiting evidence of serious thought may well be counted correct, even if the conclusion is wrong.