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3. A nursing professor was curious as to whether the students in a very large class...

3. A nursing professor was curious as to whether the students in a very large class she was teaching who turned in their tests first scored differently from the overall mean on the test. The overall mean score on the test was 75 with a standard deviation of 10; the scores were approximately normally distributed. The mean score for the first 20 tests was 78. Did the students turning in their tests first score significantly different from the mean? Explain. 8 points a. Yes, the students scored significantly different because they are right of the mean. b. No, the students did not score significantly different because they are less than 2 standard deviation from the mean.

Solutions

Expert Solution

3. We need to do a hypothesis test to check if there is significantly different between the mean score of the first 20 students and over mean score.

We use a t-test, since the sample size is less than 30

Hypothesis

H0 : the mean score of the first 20 students is equal to 75

H1:The mean score of the first 20 students is not equal to 75

The detailed working is given below

Hence we do not find sufficient evidence to claim that the mean score of the first 20 students is different from the mean score of the class.

milcah answered 3 months ago
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