Write Hypotheses for the Paired T-Test $\mu _ { d } = 0$

question 5

Short Answer

Write hypotheses for the paired t-test.
-An army depot that overhauls ground mobile radar systems is interested in improving its
Processes. One problem involves troubleshooting a particular component that has a high
Failure rate after it has been repaired and reinstalled in the system. The shop floor
Supervisor believes that having standard work procedures in place will reduce the time
Required for troubleshooting this component. Time (in minutes) required troubleshooting
This component without and with the standard work procedure is recorded for a sample of 19 employees. Assuming that we define our differences as Time without standard work
Procedure - Time with standard work procedure, the correct alternative hypothesis is A. $\mu _ { d } = 0$ .
B. $\mu _ { d } < 0$ .
C. $\mu _ { d } > 0$ .
D. $\mu _ { d } \neq 0$ .
E. None of the above.

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Definitions:

Normal Distribution

A probability distribution that is symmetric around the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

P-chart

is a statistical tool used in quality control to monitor the proportion of defectives in a process and determine if that process is in a state of control.

Typographic Errors

Mistakes made in the typing or printing process, often resulting in incorrect spelling, punctuation, or layout in text.

Exponential Distribution

A statistical distribution used to model the time between events in a process where events occur continuously and independently at a constant average rate.