consider this dataset to be a sample of size 60 taken from a much wider population for statistics students. Use R to find a 99% confidence interval for the mean of the population. Choose the most correct (closest) statement below. a) Your confidence interval is (72.88831, 75.91169) beats per minute and is narrower than a 90% confidence interval. b) Your condence interval is (72.38912, 76.41088} confidence interval created from this data. c) Your confidence interval is (72.38912, 76.41088) beats per minute and it is narrowar than a 90% confidence interval created from this data. d) Your confidence interval is (72.88831, 75.91169) beats per minute and it is wider than a 90% confidence interval created from this data. beats per minute and it is wider than a 90% A random sample of 100 students is taken from a larger population of students in a multi- and the sample mean (average) of their final grades is found to be 55.5. Suppose it is known that the population standard deviation is 3. Use R to help you test, with a significance level of 0.01, whether there is significant evidence that the average grade for the population exceeds 55. Choo correct statement. lecture course se the most a) You test Ho: p 55 and you obtain a result is not significant. b) You test Ho: (.1 55 and you obtain a the result is significant. c) You test Ho: p > = 55 versus Ha: p 55 and you obtain a the result is not significant. p-value of 0.048 (TO 3 DEClMALS) and the Wof 0.048 (TO 3 DECIMALS) and ~value of 0.048 (T0 3 DECIMALS) and pvalue of 0.048 (T0 3 DECIMALS) and The Excel file STATISTICSSTUDENTSSURVEYFORR contains the column BEFPUISEMIN (a numerical variable that measures student pulses before completing an online survey). For education purposes, consider this dataset to be a sample of size 60 taken from a much larger population for statistics students. You test, with a significance level of 0.002, whether there is significant evidence that the average beats per minute for the population exceeds 72 beats per minute. Choose the most correct statement. a) You test Ho: [.1 72 and you obtain a pvalue of 0.001185 and the result is not significant b) You test Ho: (1 72 and you obtain a wiggof 0.001185 and the result is significant l c) You test Ho: u = 72 versus Ha: p 72 and you obtain a p-value of 0.002369 and the result is not ty: Good to go l Jcllaluvy