Question

5) A book claims that more hockey players are born in January through March than in October through December. The following data show the number of players selected in a draft of new players for a hockey league according to their birth month. Is there evidence to suggest that hockey​ players' birthdates are not uniformly distributed throughout the​ year? Use the level of significance

alpha equalsα=0.05

Birth Month	Observed Count	Expected Count
​January-March	60
​April-June	51
​July-September	26
​October-December	37

4) A traffic safety company publishes reports about motorcycle fatalities and helmet use. In the first accompanying data​ table, the distribution shows the proportion of fatalities by location of injury for motorcycle accidents. The second data table shows the location of injury and fatalities for

2084

riders not wearing a helmet. Complete parts ​(a) and ​(b) below.

Location of injury	Observed Count	Expected Count
Multiple Locations	1049
Head	866
Neck	3535
Thorax	89
​Abdomen/Lumbar/Spine	45

1)

Determine the expected count for each outcome.		n=605
		i	1	2	3	4
		pi	0.16	0.44	0.24	0.16

What is the expected count for outcome 1 is ( ) ?

3) The first significant digit in any number must be​ 1, 2,​ 3, 4,​ 5, 6,​ 7, 8, or 9. It was discovered that first digits do not occur with equal frequency. Probabilities of occurrence to the first digit in a number are shown in the accompanying table. The probability distribution is now known as​ Benford's Law. For​ example, the following distribution represents the first digits in

206

allegedly fraudulent checks written to a bogus company by an employee attempting to embezzle funds from his employer. Complete parts​ (a) through​ (c) below.

Distribution of first digits​ (Benford's Law)
Digit	1	2	3	4	5
Probability	0.301	0.176	0.125	0.097	0.079
Digit	6	7	8	9
Probability	0.067	0.058	0.051	0.046

First digits in allegedly fraudulent checks
First digit	1	2	3	4	5	6	7	8	9
Frequency	36	25	28	20	23	36	15	16	7

Answer 1

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(3)

whre,    N=238

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