A sample with 60 observations has supposedly come from the exponential distribution with a mean of 12. (a) State an appropriate statistical procedure to check this, including the hypotheses.

MATLAB: An Introduction with Applications
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A sample with 60 observations has supposedly come from the exponential distribution with
a mean of 12.
(a) State an appropriate statistical procedure to check this, including the hypotheses.
(c) Given that the observed counts in each bin are: 7, 18, 12 and 23 perform the relevant
test and report on your results.
(d) Now we wish to test if the data are from the exponential distribution, but without a
pre-specified mean, using the same procedure.
(1) Would you expect the value of the test statistic to be higher or lower than from
part (c)? Briefly explain your reasoning.
(ii) What distribution would be referenced in this case? Specifically explain any
numeric values.
Transcribed Image Text:A sample with 60 observations has supposedly come from the exponential distribution with a mean of 12. (a) State an appropriate statistical procedure to check this, including the hypotheses. (c) Given that the observed counts in each bin are: 7, 18, 12 and 23 perform the relevant test and report on your results. (d) Now we wish to test if the data are from the exponential distribution, but without a pre-specified mean, using the same procedure. (1) Would you expect the value of the test statistic to be higher or lower than from part (c)? Briefly explain your reasoning. (ii) What distribution would be referenced in this case? Specifically explain any numeric values.
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