Question

(Reject, Fail to reject) H0. There is (sufficient , not sufficient) evidence... 60 seconds (is, is not) correct. It (does not appear, does appear) that, as a group....

A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. Use a 0.10 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute? 81 90 50 71 49 36 68 75 76 59 70 80 99 96 74 Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? O A. Ho: u = 60 seconds Hy: u > 60 seconds B. Ho:u860 seconds Hy: u = 60 seconds C. Hoiu = 60 seconds D. Ho: u = 60 seconds H: #60 seconds Hy: u< 60 seconds Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. evidence to conclude that the original claim that the mean of the population of estimates is 60 seconds correct. It that, as a group, the students are reasonably good at Ho. There is estimating one minute.

Answer 1

Standard deviation, S = ECX-X)? . X=71.6 n-l 2 2(x-7)? (81-71.6)+(90-71.6997(50-71637(49-71632 +(36-71.6)+(68-71.6)+ (75-71,69+(36-41.65 +(59-716)+(70-71692+(80-71-6)7699-71.63 +(96-71.6)+(74-716)+(71-71.6)2 88.367 338.56 + 466.56+ 510.76 + 1267.36 + 12.96 + 11.56+ 19.36 + 158.76+ 2.56 + 70.56 + 750176 + 595.36 +5.76+ 0.36 = 4299.6 S = 2(X-X) n-1 4299.6 11 15-1 14299.6 = 14 - 17.525 is= 117.525

P-value = P(t, df) (using p-value from = P(2.56,14) t-score calculaton 0.023 1. P-value 0.023 Here, p-value at iei P-value coi10 We reject null hypothesis, to & conclusion: to Reject H. There is sufficient evidence conclude that the original claim that the mean of the population of estimate is 60 seconds is not conect. It does not appear that, as group, the Students reasonably good at estimating one minute. are

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