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DESCRIPTIVE STATISTICS 2 ) Everyone is familiar with waiting lines or queues. For example, people wait...

DESCRIPTIVE STATISTICS

2

) Everyone is familiar with waiting lines or queues. For example, people wait in line at a

supermarket to go through the checkout counter. There are two fa

ctors that determine how

long the queue becomes. One is the speed of service. The other is the number of arrivals at

the checkout counter. The mean number of arrivals is an important summary statistic, but so

is the standard deviation. A consultant working

for the supermarket counted the number of

arrivals (shown below) per hour during a sample of 30 hours.

106

99

109

130

105

132

106

94

71

93

97

115

75

84

95

91

84

94

88

101

103

111

102

72

98

89

101

90

107

98

a)

Compute the mean and standard deviation of the number of arrivals.

b)

Assuming data is normally distributed (i.e. histogram is bell shaped) and given

the mean and standard deviation calculated in part (a),

usually

what range of

number of arrivals do you expe

ct for this supermarket.

(Remember “usually”

means 95% of the time).

math   Statistics-And-Probability   
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Answer #1

Page -1 age- 2 Date C b) To find Xo such that Χ.be the no.of-arrivais Let ora Ta) Meanumber of dmivdls Sum of a) no of avivdis rable p( Ζ <ー202三al-o.gs -o.ozs Zo I.96 294098 2 0 mean ヲ 13.86 xpe 196 (13.86)+38 125 1656 30 3 o 2 558 Ko- 70.83 412 1 3 0 g 736:133- g 609 Range-of-expected-rival is (7083, 25-12 na. of wrivet 3.86 12 2

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