2. (4 points) A researcher is interested in estimating the population mean antliafiinin levels of blackcurrant. This researcher has measured the level of anthocyanins in the 'uits of n = 64 blackcurrant plants and obtained a sample mean concentration level of l7 = 225 mg per 100 g and sample standard deviation of s = 0.25 mg per 100 g. a. (1 point) Calculate a 95% condence interval (CI) for the population mean anthocyanin levels 11 . b. (1 point) How large of a sample size is needed for a 95% CI to have a tolerable error (W) value of 3 mg per 100 g? c. (1 point) How large of a sample size is needed for a 90% CI to have a tolerable error (W) value of 3 mg per 100 g? d. (1 point) Based on your answers to b.) and c.), do you think that a larger or smaller sample size (relative to the sample size calculated in b.) would be needed for a 99% CI to have a tolerable error (W) of 3 mg per 100 g?? Briefly explain your