# Question

The following are 24 consecutive downtimes (in minutes) of a particular machine.

The null hypothesis of randomness is to be tested against the alternative that there is a trend. A MINITAB analysis of the number of runs above and below the median follows.

a. Confirm the values reported for the median and the number of runs by calculating them yourself.

b. Compute the value of z_ and the p-value.

c. Would you reject the hypothesis of randomness? Explain.

d. Construct a graph that displays the sample data and visually supports your answer to part c.

The null hypothesis of randomness is to be tested against the alternative that there is a trend. A MINITAB analysis of the number of runs above and below the median follows.

a. Confirm the values reported for the median and the number of runs by calculating them yourself.

b. Compute the value of z_ and the p-value.

c. Would you reject the hypothesis of randomness? Explain.

d. Construct a graph that displays the sample data and visually supports your answer to part c.

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