After surveying students at a college, a campus organisation calculated that a 95% confidence interval for the mean cost of food for one term is ($1372, $1562). Now the organisation is trying to write its report and is considering the following interpretations Comment on each. Complete parts a) through e) below. a) 95% of all students pay between $1372 and $1562 for food. Comment on the given interpretation. Choose the correct answer below. O A. The interpretation is correct. A confidence interval estimates a population parameter. O B. The interpretation is incorrect. A confidence interval estimates a sample parameter. O C. The interpretation is incorrect. A confidence interval is not about individuals in the population. O D. The interpretation is incorrect. A confidence interval is not about a population parameter. b) 95% of the sampled students paid between $1372 and $1562. Comment on the given interpretation. Choose the correct answer below. O A. The interpretation is incorrect. A confidence interval is not about a population parameter. O B. The interpretation is incorrect. One knows that all of the sampled students paid between $1372 and $1562. O C. The interpretation is correct. A confidence interval estimates a sample parameter. O D. The interpretation is incorrect. A confidence interval is not about individuals in the sample.c) One is 95% sure that students in this sample averaged between $1372 and $1562 for food. Comment on the given interpretation. Choose the correct answer below. O A. The interpretation is incorrect. A confidence interval estimates a sample parameter. O B. The interpretation is incorrect. A confidence interval estimates the standard deviation of a population. O C. The interpretation is correct. A confidence interval estimates a sample parameter. O D. The interpretation is incorrect. The mean cost for students in the sample is known to be $1467. d) 95% of all samples of students will have average food costs between $1372 and $1562. Comment on the given interpretation. Choose the correct answer below. O A. The interpretation is incorrect. One knows that all samples will have average food costs between $1372 and $1562. O B. The interpretation is correct. A confidence interval estimates a population parameter. O C. The interpretation is incorrect. A confidence interval estimates a sample parameter. O D. The interpretation is incorrect. 95% of all samples will have average food costs within two standard deviations of the true population mean.e) One is 95% sure that the average amount all students pay is between $1372 and $1562. Comment on the given interpretation. Choose the correct answer below. O A. The interpretation is incorrect. A confidence interval estimates individual values, not sample parameters. O B. The interpretation is incorrect. A confidence interval estimates a sample parameter. O C. The interpretation is incorrect. A confidence interval is not about individual students in the population. O D. The interpretation is correct. A confidence interval estimates a population parameter