Does the job satisfaction of assembly workers differ when their work is machine$-$paced rather than self$-$paced? Assign workers either to an assembly line moving at a fixed pace or to a self$-$paced setting. All subjects work in both settings, in random order. This is a matched pairs design. After two weeks in each work setting, the workers take a test of job satisfaction. The response variable is the difference in satisfaction scores, self$-$paced minus machine$-$paced.

The parameter of interest is the mean of the differences in scores in the population of all assembly workers.

Question $1$

List the Null hypothesis and alternative hypothesis to test if the job satisfaction of assembly workers differ when their work is machine$-$paced rather than self$-$paced.

Question $2$

The observed mean difference of the two

types of working styles is $2.$ Assume that we know the standard deviation of the difference in job satisfaction between the two types of work styles is $1\mathrm{.}7.$ Calculate the test statistic based on this information.

Question $3$

Compare test statsitics with the critical value given by the significant level as $0\mathrm{.}05,$ or compare the $p-$value using the test statistic to the significant level $0\mathrm{.}05.$ Question $4$

Make the conclusion based when the result from question three, if the job satisfaction of assembly workers differ when their work is machine$-$paced rather than self$-$paced