We interview 10 professors from the University of Manchester about their experience of teaching online. They...

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We interview 10 professors from the University of Manchester about their experience of teaching online. They rate it on average as 8.7 on a scale of 0 to 10 (where 10 is enjoying it more) with a standard deviation of 2.4. We know that for the University of Liverpool the evaluation was on average 9 and we want to know if the professors at Manchester are different to those in Liverpool in their rating of teaching online. Do a 95% two sided t test to evaluate the difference. What is your conclusion? [1 mark] a. The t-value is -0.395 and the cut-off point is 2.262. It means we do not have enough evidence to reject the null hypothesis that the professors from Manchester and Liverpool are the same in their ratings of online teaching. b. The t-value is -0.395 and the cut-off point is 2.228. It means we do not have enough evidence to reject the null hypothesis that the professors from Manchester and Liverpool are the same in their ratings of online teaching. c. The t-value is -2.732 and the cut-off point is 2.262. It means we have enough evidence to reject the null hypothesis that the professors from Manchester and Liverpool are the same in their ratings of online teaching. d. The t-value is -2.732 and the cut-off point is 2.228. It means we have enough evidence to reject the null hypothesis that the professors from Manchester and Liverpool are the same in their ratings of online teaching. e. None of the above We interview 10 professors from the University of Manchester about their experience of teaching online. They rate it on average as 8.7 on a scale of 0 to 10 (where 10 is enjoying it more) with a standard deviation of 2.4. We know that for the University of Liverpool the evaluation was on average 9 and we want to know if the professors at Manchester are different to those in Liverpool in their rating of teaching online. Do a 95% two sided t test to evaluate the difference. What is your conclusion? [1 mark] a. The t-value is -0.395 and the cut-off point is 2.262. It means we do not have enough evidence to reject the null hypothesis that the professors from Manchester and Liverpool are the same in their ratings of online teaching. b. The t-value is -0.395 and the cut-off point is 2.228. It means we do not have enough evidence to reject the null hypothesis that the professors from Manchester and Liverpool are the same in their ratings of online teaching. c. The t-value is -2.732 and the cut-off point is 2.262. It means we have enough evidence to reject the null hypothesis that the professors from Manchester and Liverpool are the same in their ratings of online teaching. d. The t-value is -2.732 and the cut-off point is 2.228. It means we have enough evidence to reject the null hypothesis that the professors from Manchester and Liverpool are the same in their ratings of online teaching. e. None of the above

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