You are taking a class with a large number of students. The professor notes that the midterm exam scores were bell-shaped but doesn't tell you the mean. You take a random sample of 10 students and construct a 95 confidence interval for the mean exam score. Now the professor wants to give everyone 5 extra points on the exam. How will your confidence interval change?
a. The sample mean will increase by 5 points and the margin of error will also.
b. The sample mean will increase by 5 points but the margin of error will stay the same.
c. The sample mean will stay the same but the margin of error will increase by 5 points.
d. Both the sample mean and the margin of error will remain unchanged.
Question 2
Which of the following statements is not true regarding a 95 confidence interval for the mean of a population?
a. In 95 of all samples, the sample mean will fall within 2 standard errors of the true population mean.
b. 95 of the population values will lie within 2 standard errors of the sample mean.
c. In 95 of all samples, the true population mean will be within 2 standard errors of the sample mean.
d. If you add and subtract two standard errors to/from the sample mean, in 95 of all cases you will have captured the true population mean.
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