SOLUTION: waiting times single line: 6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7 individual line: 4.2, 5.4, 5.8, 6.2, 6.7, 7.7, 7.7, 8.5, 9.3, 10.0 a)Find the mean, median, mode, var

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Question 309892: waiting times
single line: 6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7
individual line: 4.2, 5.4, 5.8, 6.2, 6.7, 7.7, 7.7, 8.5, 9.3, 10.0
a)Find the mean, median, mode, variance, standard deviation, and range of each data set. Which appears to be the fastest?
b)Perform a hypothesis test to see if one method appears to be efficient than the other. (Hint: test 2 means). Show the null and alternative hypotheses, the critical value at 0.05, the test statistic, and the P-value. Lastly show (explain) your conclusion.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
waiting times
single line: 6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7
sample mean = 7.15 ; sample std = 0.4767
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individual line: 4.2, 5.4, 5.8, 6.2, 6.7, 7.7, 7.7, 8.5, 9.3, 10.0
sample mean = 7.15 ; sample std = 1.8216
==================================================
a)Find the mean, median, mode, variance, standard deviation, and range of each data set. Which appears to be the fastest?
-------
b)Perform a hypothesis test to see if one method appears to be more
efficient than the other. (Hint: test 2 means).
Show the null and alternative hypotheses,
Ho: u1-u2 = 0
Ha: u1-u2 is not zero
---------------------------
the critical value at 0.05::: z = +-1.96
------------------------------------------
the test statistic:::: z(7.15-7.15) = 0
and the P-value::::: = 2*P(z> 0) = 1.00
------
. Lastly show (explain) your conclusion.
Fail to reject Ho.
----
Comment: This was a no-test test. Strange.
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Cheers,
Stan H.
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