The weight of an SRS of 35 pumpkins is measured. A 95% confidence interval for the mean weight, in pounds, for the pumpkins on this farm is (9,22). Which of the following statements gives a valid interpretation of this interval?
a. 95% of the sample of pumpkins have a weight, in pounds, between 9 and 22. b. We can be 95% confident that the true mean weight of the pumpkins on the family farm is between 9 and 22 pounds. c. If the procedure were repeated many times, 95% of the sample means would be between 9 and 22.
I understand that the correct interpretation would be that there is a 95% confindence that the interval (9,22) contains the population parameter; however, none of the choices seem to match this.
Also, is it correct to interpret a 90% confidence interval of, for example, $1\pm0.2$, as saying that any value between $(0.8,1.2)$ is believable as the true mean of the population?