At 5%significance level, determine if ten sessions of physiotherapy training will improve psychomotor performance scores in the population from which this sample was randomly selected?

To determine if ten sessions of physiotherapy training will improve psychomotor performance scores, we need to conduct a hypothesis test.

Null Hypothesis (H0): Ten sessions of physiotherapy training will not improve psychomotor performance scores.
Alternative Hypothesis (H1): Ten sessions of physiotherapy training will improve psychomotor performance scores.

Next, we need to collect data on psychomotor performance scores before and after the ten sessions of physiotherapy training. Let's assume we have a sample of n individuals who underwent the training, and we have their before and after scores.

We can then perform a paired t-test to compare the mean difference between the before and after scores. The t-test will provide a p-value that we can use to determine if the improvement in scores is statistically significant.

If the p-value is less than 0.05 (5% significance level), we reject the null hypothesis and conclude that ten sessions of physiotherapy training do improve psychomotor performance scores in the population from which this sample was randomly selected. If the p-value is greater than or equal to 0.05, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a significant improvement.

It is important to note that this analysis assumes the sample was randomly selected and that the data meets the assumptions of the paired t-test, such as normality and independence.

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