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To compute probability value using normal distribution

Robinson & Associates does employment screening for large companies in southern California.  It typically follows two-step process.  First potential applicants are assumed a test that covers basic knowledge and intelligence.  If applicants score among a certain ranges, they are called in for an interview.  If they score under a certain point they are sent a rejection letter.  If applicants score overhead a certain point, they are sent straight to the client's human resources office without the interview.  Recently Robinson & Associates instigated working with a new client and formulated a new test just for this company.  Thirty people were specified the test which is theoretical to produce scores that are distributed according to a bell-shaped distribution.  The following data reproduce the scores of those 30 people.

DATA

76

75

74

56

61

76

62

96

68

62

78

76

84

67

60

96

77

59

67

81

66

71

69

65

58

77

82

75

76

67

Robinson and Associates has in the past issued a rejection letter with no interview to the lower 16% taking the test.  They as well send the upper 2.5% directly to the company without an interview.  Everybody else is interviewed.  Based on the data as well as the assumption of a bell-shaped distribution, what score must be used for the two cut-offs?

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M920080

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