Question

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? 78 89 49 74 50 30 69 69 74 57 73 80 104 96 71 Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? A. Ho:u= 60 seconds H: > 60 seconds C. Ho:u= 60 seconds H: #60 seconds B. Ho: #60 seconds H = 60 seconds D. Ho: 1 = 60 seconds Hy <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. Ho. There is population of estimates is 60 seconds reasonably good at estimating one minute. evidence to conclude that the original claim that the mean of the correct. It that, as a group, the students are

Answer 1

Given data is 78, 89, 49,74,50 30, 69, 69,74,57, 73, 80, 104, 96,711 Let X: The length of one minute without reference to a watch. claim: Times are from a popuranon with mean equal to 60 seconds i.e. To test C. fo: M = 60 seconds Hi : M & 60 seconds. Test statistic: to X-Mo tny Here X = 1 Ei= 70.86 in Ex-x8 = 18.89 L n = 15 Thes fo, 86-60 18.89 / JTS to = 2.23 2 min (Plt147 2.23) P (tiq < 2.23) since Hi M & 6o. P-value = 1

P-vame 2 min (0.02131, 0.97869) = 2X 0.02131 = 0.04262 Thus, P-vame 2 0.043 Note that final conclusion P-value < x=0.10. Reject 1 Ho. There is not sufficient l evidence to conclude that the original claim that population is Go seonds is correct. that, as a group the students are reasonably good cal estimating one minute eshmates It does not appear
Note that we reached to the conclusion, since the P value is less that 0.10 level of significance.