Question

In the Northern Hemisphere, dolphins swim predominantly in a counterclockwise direction while sleeping. A group of researchers wanted to know whether the same was true for dolphins in the Southern Hemisphere. They watched eight sleeping dolphins and recorded the percentage of time that the dolphins swam clockwise. Assume that this is a random sample and that this variable has a normal distribution. These data are as follows: 77.7, 84.8, 79.4, 84.0, 99.6, 93.6, 89.4, 97.2

a) The sample size is small enough that this assumption should be checked before calculating confidence intervals. To evaluate the assumption of normality made by the confidence interval procedure, produce a histogram and a normal quantile plot for the percent swimming times. Carry a hypothesis test of normality. Use R, show your commands and conclude about the the distribution of the data.

Answer 1