How well can people generate random numbers? A sample of students were asked to write down a ‘‘random” four-digit number. Responses from 150 students are stored in the file Digits. The data file has separate variables (RND1, RND2, RND3, and RND4) containing the digits in each of the four positions.
(a) If the numbers are randomly generated, we would expect the last digit to have an equal chance of being any of the 10 digits. Test H₀: p₀ = p₁ = p₂ = · · · = p₉ = 0.10 using technology and the data in RND4.
(b) Since students were asked to produce four-digit numbers, there are only nine possibilities for the first digit (zero is excluded). Use technology totest whether there is evidence in the values of RND1 that the first digits are not being chosen by students at random.