MATH 1303 E01 CRN20168 Quiz: chapter 8 quiz Time Limit 01 1000 Submit Quir 15 of
ID: 3221975 • Letter: M
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MATH 1303 E01 CRN20168 Quiz: chapter 8 quiz Time Limit 01 1000 Submit Quir 15 of 21 (0 complete) This Quiz: 76 pts possible Assume that a simple random sample has been selected from a ronmaly dstrbuted population and test tegvendam. Identry mul mndatemative hypoeeses, test statuss Praun, and state the oondusion eat addresses he oignal how have a number one song stated that a sorg must be no longerthan 210 seconds A imple random sample of 40 005 significance level and the accompanying Minitab display to test he climthat the sample is song meen length and a standard devition see a ciok the loon toview Minitab display from a population of songs with a meangreaterthan 210 soc What do these resuts sggettabout given inte marua? What are the hypotheses? O A Ho: 210 sec 210 sec 210 sec O c. Hot 210 sec 210 sec H, 210 sec H.: 210 see identify the test statistic, t- (Round to two decimal places as needed. The Pvalue is (Round to three decimal places as needed.) State the fina condusion that addresses the original claim choose the comect answer below O A Fall to reject Ho There is sumoent evidenoe to support me claim that the sample is hom population of songs with a mean length greater than 210 sec. Fail to reject Ho There is insufficient evidenoe to support the daim that he sample is fom a populoon of songs with a mean length geater than 20 sec c. Reject H There is insuficient evidenoeto support the claim that the sample is from a population ersongs wna mean length gwater than 210 sec. O D. Rejoot H There is suffolent evidenoe to support the daim that the sampleis from a populason of songs with a mean length greater tan 210 seo. What do the results suggest about the advioe given inthe manua? A The results are inconclusive because the average length of a hi song is constanty changing Click to select your answerls.Explanation / Answer
Hypothesuis are :
Nul Hypothesis : H0: = 210 sec
alternative hypothesis : > 210 sec
option C is correct.
t = (Xbar - 210)/ (s/ n) = (234.3 - 210)/ (57.83/ 40) = 24.2/ 9.1437 = 2.65
P - value ( as it is one tailed test and dF = 40 - 1 = 39) = 0.005783
so we will reject the null hypothesis and can say that there is sufficient evidence to support the claim that the sample is from a population of songs with a mean length greater than 210 sec.
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