Question

Suppose that a student is working on a statistic project using data on pulse rates collected from a random sample of 100 students from her college. She finds a 95% confidence interval for mean pulse rate to be (65.5, 71.8). Explain how each of the statement below would indicate an improper interpretation of this interval

Answer 1

Answer:

The question is incomplete. The statements are:

a) I am 95% sure that all students will have pulse rates between 65.6 and

71.8 beats per minute . FALSE. The confidence interval is for the true value of the mean, not the individual values.

b) I am 95% sure that the mean pulse rate for this sample of students will fall  between 65.5 and 71.8 beats per minute . FALSE. The sample mean is already included in the CI, as it was used to calculate it.

c) I am 95% sure that the confidence interval for the average pulse rate of all  students at this college goes from 65.5 to 71.8 beats per minute . FALSE. The 95% only refers to the probability of the true mean to be within this interval.

d) I am sure that 95% of all students at this college will have pulse rates

between 65.5 and 71.8 beats per minute . FALSE. The confidence interval is for the true value of the mean, not the individual values.

e) I am 95% sure that the mean pulse rate for all US college students in

between 65.5 and 71.8 beats per minute.  FALSE. This confidence is valid only for the population of students of her college, as the sample was taken from this population.

f) Of the mean pulse rates for students at this college, 95% will fall between

65.5 and 71.8 beats per minute. FALSE. The 95% is not the probability for individual values .

g) Of random samples of this size is taken from students at this college, 95%  will have mean pulse rates between 65.5 and 71.8 beats per minute. FALSE. The 95% does not refer to the sampling distribution probabilities.

Step-by-step explanation: