Each year billions of dollars are lost because of worker injuries on the job. Costs can be decreased if injured workers can be rehabilitated quickly. As part of an analysis of the amount of time taken for workers to return to work, a sample of male blue-collar workers aged 35 to 45 who suffered a common wrist fracture was taken. The researchers believe that both the mental and physical condition of the individual affects the recovery time. Each man was given a questionnaire to complete which evaluated mental condition (optimistic or pessimistic) and physical condition (very fit, average, or poor). The number of days until full recovery was recorded. Use a level of significance of 5%.

Mental	Physical	Recovery
Optimist	Very fit	26
Optimist	Very fit	30
Optimist	Very fit	37
Optimist	Very fit	23
Optimist	Very fit	32
Optimist	Very fit	30
Optimist	Very fit	28
Optimist	Very fit	25
Optimist	Very fit	28
Optimist	Very fit	27
Optimist	Average	34
Optimist	Average	18
Optimist	Average	39
Optimist	Average	33
Optimist	Average	29
Optimist	Average	40
Optimist	Average	41
Optimist	Average	34
Optimist	Average	34
Optimist	Average	27
Optimist	Poor	48
Optimist	Poor	43
Optimist	Poor	32
Optimist	Poor	45
Optimist	Poor	40
Optimist	Poor	57
Optimist	Poor	43
Optimist	Poor	40
Optimist	Poor	35
Optimist	Poor	42
Pessimist	Very fit	28
Pessimist	Very fit	37
Pessimist	Very fit	31
Pessimist	Very fit	38
Pessimist	Very fit	45
Pessimist	Very fit	18
Pessimist	Very fit	28
Pessimist	Very fit	40
Pessimist	Very fit	24
Pessimist	Very fit	39
Pessimist	Average	37
Pessimist	Average	36
Pessimist	Average	29
Pessimist	Average	42
Pessimist	Average	32
Pessimist	Average	30
Pessimist	Average	31
Pessimist	Average	41
Pessimist	Average	38
Pessimist	Average	30
Pessimist	Poor	48
Pessimist	Poor	56
Pessimist	Poor	41
Pessimist	Poor	61
Pessimist	Poor	35
Pessimist	Poor	47
Pessimist	Poor	44
Pessimist	Poor	47
Pessimist	Poor	46
Pessimist	Poor	41

Are there differences in the mean recovery time between mental conditions?What is the computed test statistic? Round your final answer to 2 decimal places.

Are there differences in the mean recovery time between mental conditions? What is the table test statistic? Round your answer to 3 decimal places. Approximate if necessary.

Are there differences in the mean recovery time between mental conditions? What is the p-value for this test? Round to 3 decimal places.

Are there differences in the mean recovery time between the physical conditions? What is the computed test statistic? Round your final answer to 2 decimal places.

Are there differences in the mean recovery time between the physical conditions? What is the table test statistic? Provide 3 decimal places. Approximate if necessary.

Are there differences in the mean recovery time between the physical conditions? What is the p-value for this test? Round to 3 decimal places

Do physical condition and mental condition interact to impact mean recovery time? What is the computed test statistic? Round your final answer to 2 decimal places.

Do physical condition and mental condition interact to impact mean recovery time?What is the table test statistic? Provide 3 decimal places. Approximate if necessary.

Do physical condition and mental condition interact to impact mean recovery time? What is the p-value for this test? Round to 3 decimal places.