1. A racquetball player plays 3 game sets for exercise several times over the years and keeps records of how he does in the three game sets. For 250 days, his records show that he wins 0 games on 25 days, 1 game on 75 days, 2 games on 125 days, and wins all 3 games on 25 days. Test that X = the number of wins in a 3 game series is binomial distributed at α = 0.05.
2. The number of hours per week that 200 college students spend on the Internet is grouped into the classes 0 to 3, 4 to 7, 8 to 11, 12 to 15, 16 to 19, 20 to 23, and 24 to 27 with the observed frequencies 12, 25, 36, 45, 34, 31, and 17. The grouped mean and the grouped standard deviation are found from the data. The null hypothesis is that the data are normally distributed. Using the mean and the standard deviation that are found from the grouped data and assuming a normal distribution, the expected frequencies are found, after rounding off, to be the following: 10, 30,
40, 50, 36, 28, and 6.t
(a) Find x2.
(b) How many degrees of freedom does x2 have?
(c) Use EXCEL to find the 5% critical value and give your conclusion at 5%.
(d) Use EXCEL to find the p-value for your result.