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# Two Hypothesis Testing Problems

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Problem 1:
Classic Golf, Inc. manages five courses in the Jacksonville, Florida, area. The Director wishes to study the number of rounds of golf played per weekday at the five courses. He gathered the following sample information.

Day Rounds
Monday 124
Tuesday 74
Wednesday 104
Thursday 98
Friday 120

At the .05 significance level, is there a difference in the number of rounds played by day of the week?

Problem 2:
A group of department store buyers viewed a new line of dresses and gave their opinions of them. The results were:

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 alternate hypothesis, and so on.