Coding in R, ICSNP, marginal and multivariate normality, Hotelling test

7. The LASERI data in the ICSNP library is a data frame with 32 measurements made on each of 223 healthy Finnish subjects. The subjects were monitored while in a supine position and then again with their heads elevated on a motorized table. We will concentrate on four measurements: average heart rate in the tenth minute of rest (HRTl); average heart rate in the second minute during the tilt (HRTZ); average heart rate in the fth minute during the tilt (HRT3); and average heart rate in the fth minute after the tilt (HRT4). (a) Examine the data for marginal and multivariate normality. Identify any remarkable outliers 0r abnormalities. (b) Apply the Hotelling test to examine whether the multivariate normal means are the same. Please make sure the data satisfy the assumptions of the Hotelling test. If necessary, please perform an appropriate way to x the