The winning times (in seconds) of women in the 100-meter dash for consecutive summer
Olympic games are listed below. Assume that the times are sample data from a larger population:
11.07 11.08 11.06 10.97 10.54 10.82 10.94 10.75 10.93
Find the mean, median, standard deviation, variance and range.(Use correct notation, you don't have to show work)
Assume that the population has a normal distribution, use the sample values above to construct a 95% condense interval estimate of the population mean. Can the result be used to estimate winning times in the future? Why or why not?
Use the sample data above to test the claim that the mean winning time is less than 11 seconds (use 5% significance level). What can we conclude about winning times in the future?