Question

A club professional at a major golf course claims that the course is so tough that even professional golfers rarely break par of 72. The scores from a random sample of 20 professional golfers are listed below. Find the test statistic x to test the club professional's claim. Use sign test.

71​

69​

72​

72​

75​

74​

66​

78​

72​

77

69​

71​

73​

73​

80​

78​

72​

74​

75​

65

Answer 1

Answer Date: 30/04/2020 The sign test statistics is, First, compute the above and below median score then find test statistics is, By using MINITAB, find sum of ranks with the help of following steps: Import the data. Select 1 Sample Sign from Nonparametrics in Stat menu. Select Variables. Select Test Median and Alternative. 5) Click Ok. 4) Sign Test for Median: Scores Sign test of median = 72.00 versus not = 72.00 NBelow Equal Above Scores 20 6 4 10 P Median 0.4545 72.50 From the MINITAB output, the above median scores are 10 and below median scores are 6.

x = n(number of least frequenct sign) = n(below) = 6 The sign test statistics is 6.