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 0.01 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? 67 84 39 65 39 24 62 60 65 45 66 70 90 88 68 O c. Ho: u = 60 seconds Hi: Ji<60 seconds D. Ho: u = 60 seconds H:H+60 seconds Determine the test statistic. 0.44 (Round to two decimal places as needed.) Determine the P-value. .666 (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. is correct. It appears that, as a group, the students Fail to reject Ho. There is not sufficient evidence to conclude that the original claim that the mean of the population of estimates is 60 seconds are reasonably good at estimating one minute.
Both of the answers that I put were incorrect for "State the final conclusion that addresses the original claim"

Answer 1

i am using minitab to solve the problem.

steps :-

copy the data in minitab and name the column x $1596055622603_blob.png$ stat $1596055622467_blob.png$ basic statistics $1596055622510_blob.png$ 1-sample T $1596055622497_blob.png$ select one or more samples, each in a column from the drop down menu $1596055622495_blob.png$ in the blank box below select x $1596055622668_blob.png$tick perform hypothesized test $1596055622598_blob.png$in hypothesized mean type 60$1596055622520_blob.png$options $1596055622519_blob.png$ in confidence level type 99 $1596055622528_blob.png$ select alternative hypothesis as mean $\neq$ hypothesized mean $1596055622496_blob.png$ok$1596055622676_blob.png$ok.

*** SOLUTION ***

hypothesis:-

$H_{0}:\mu=60$ [ claim ]

097 11:11

the test statistic (t) = 0.44

the p value = 0.665

decision:-

Fail to reject H₀. There is sufficient evidence to conclude that the original claim that the mean of the population of estimates is 60 seconds is correct.It appears that as a group the students are reasonably good at estimating one minute.

[ p value = 0.665 > 0.01 (alpha) ]

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