A hospital takes a random sample of patients and asks them to take part in a study on nutrition. They take a survey asking about foods they eat. Each of the food was scored on a scale from 1-5 (5 being a healthier food) and average scores obtained. A previous large scale study conducted at the hospital showed that such averages were normally distributed. That study found the mean healthy eating score for the population of patients to be u = 2.8. Now, one of the hospital nutritionists thinks patients might benefit from nutrition education. A new survey was given to 20 patients after they took the nutrition course and the sample statistics were: x (bar) = 3.3 and s = 1.2. Write out your decision about the hypotheses (using your test statistic and the critical value you would compare it to) and provide a final conclusion in the context of the problem. Use a = 0.01.

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A hospital takes a random sample of patients and asks them to take part in a study on nutrition.
They take a survey asking about foods they eat. Each of the food was scored on a scale from 1-5 (5
being a healthier food) and average scores obtained. A previous large scale study conducted at the
hospital showed that such averages were normally distributed. That study found the mean healthy
eating score for the population of patients to be u = 2.8.
Now, one of the hospital nutritionists thinks patients might benefit from nutrition education. A new
survey was given to 20 patients after they took the nutrition course and the sample statistics
were: x (bar) = 3.3 and s = 1.2.
Write out your decision about the hypotheses (using your test statistic and the critical value you
would compare it to) and provide a final conclusion in the context of the problem. Use a = 0.01.
Transcribed Image Text:A hospital takes a random sample of patients and asks them to take part in a study on nutrition. They take a survey asking about foods they eat. Each of the food was scored on a scale from 1-5 (5 being a healthier food) and average scores obtained. A previous large scale study conducted at the hospital showed that such averages were normally distributed. That study found the mean healthy eating score for the population of patients to be u = 2.8. Now, one of the hospital nutritionists thinks patients might benefit from nutrition education. A new survey was given to 20 patients after they took the nutrition course and the sample statistics were: x (bar) = 3.3 and s = 1.2. Write out your decision about the hypotheses (using your test statistic and the critical value you would compare it to) and provide a final conclusion in the context of the problem. Use a = 0.01.
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