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NONPARAMETRIC METHODS: NOMINAL LEVEL HYPOTHESIS TESTS 549 17. A six-sided die is rolled 30 times and the numbers 1 through 6 appear as shown in the follow- ing frequency distribution. At the . 10 significance level, can we conclude that the die is fair? Outcome Frequency Outcome Frequency N 18. Classic Golf Inc. manages five courses in the Jacksonville, Florida, area. The director of golf wishes to study the number of rounds of golf played per weekday at the five courses. He gathered the following sample information. At the .05 significance level, is there a difference in the number of rounds played by day of the week? Day Rounds Monday 124 Tuesday 74 Wednesday 104 Thursday 98 Friday 120 19. A group of department store buyers viewed a new line of dresses and gave their opinions of them. The results were: E, please visit com/lind16e Opinion Number of Buyers Opinion Number of Buyers Outstanding 47 Good 39 Excellent 45 Fair 35 Very good 40 Undesirable 34 Because the largest number (47) indicated the new line is outstanding, the head designer thinks that this is a mandate to go into mass production of the dresses. The head sweeper (who somehow became involved in this) believes that there is not a clear mandate and claims that the opinions are evenly distributed among the six categories. He further states that the slight differences among the various counts are probably due to chance. Test the null hypothesis that there is no significant difference among the opinions of the buyers. Test at the .01 level of risk. Follow a formal approach; that is, state the null hypothesis, the alter- nate hypothesis, and so on. 20. The safety director of a large steel mill took samples at random from company records of minor work-related accidents and classified them according to the time the accident took place. Number of Number of please visit Accidents /lind16e Accidents Time Time 6 1 up to 2 p.m. 00 - 8 up to 9 a.m. 2 up to 3 p.m. 9 up to 10 a.m. 3 up to 4 p.m. 19 20 10 up to 11 a.m. 4 up to 5 p.m. 6 00 11 up to 12 p.m