A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others. On a questionnaire designed to measure empathy, the mean score for the general population is 30.6. Random sampling of 25 scores obtained from individuals who were bullied yielded a sample mean of 39.5 and a sample standard deviation of 6.6. Test at the .05 level of significance. Suppose that the value of your calculated (obtained) test statistic is 6.74. What is your decision

The degrees of freedom are given by:

Now we can calculate the p value with the following probability:

And for this case since the p value is lower compared to the significance level we can reject the null hypothesis and we can conclude that the true mean for this case is different from 30.6 at the significance level of 0.05

Step-by-step explanation:

For this case we have the following info given:

represent the sample mean

represent the sample deviation

represent the reference value to test.

represent the sample size selected

The statistic for this case is given by:

And replacing we got:

The degrees of freedom are given by:

Now we can calculate the p value with the following probability:

And for this case since the p value is lower compared to the significance level we can reject the null hypothesis and we can conclude that the true mean for this case is different from 30.6 at the significance level of 0.05

yes

step-by-step explanation:

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this