A computer program claims to generate random numbers. When asked to generate 70 random integers from 1 to 8, it produces the output in data set 1. Use a ? test to determine whether the output matches the expected average of 4.5. First do the calculation by hand, using R to find the critical ? value to compare to. Then perform the test in R and compare your results.

Dataset 1?

\f28 29 W HN 30 31 4 32 33 34 35 36 37 38 W N W G G UI N W U JA 39 40 41 42 43 44 4 45 46 47 48 49 50 57 52 53 54