Statistics for Management and Economics (Book Only)
Statistics for Management and Economics (Book Only)
11th Edition
ISBN: 9781337296946
Author: Gerald Keller
Publisher: Cengage Learning
Question
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Chapter 19.4, Problem 99E
To determine

Calculate the p value.

Expert Solution & Answer
Check Mark

Explanation of Solution

Null hypothesis (H0) is ρS=0 and alternate hypothesis is (H1) ρS0.

The calculated correlation coefficient (Table rs) is 0.409.

Table 1 shows the sum of different values.

Table 1

ExperienceaRatingba2b2a×b
11.5122.2543
1713416169256208
2017416289256272
96.55521.542.25462.25139.75
232693618
1311416121256176
96.531142.2512171.5
2323521.5529462.25494.5
7426163624
108521.564462.25172
1210521.5100462.25215
24242657636144
8526253630
2017521.5289462.25365.5
2120311400121220
1915262253690
11.5122.2543
2222311484121242
2017416289256272
1193118112199
1814521.5196462.25301
1412416144256192
2120311400121220
212012400440
Total300 3004,8954,850.54,012.25

Standard deviation (sab) can be calculated as follows.

sab=1n1[i=1naibi-i=1naii=1nbin]=1241[4,012.25(300)(300)24]=11.40

Standard deviation is 11.4.

Standard deviation of ‘a’ (sa) can be calculated as follows.

sa=1n1[i=1nai2-(i=1nai)2n]=1241[4,895(300)224]=7.056

 Standard deviation is 7.056.

Standard deviation of ‘b’ can be calculated as follows.

sb=1n1[i=1nbi2-(i=1nbi)2n]=1241[4,850.5(300)224]=6.917

Standard deviation is6.917.

The correlation coefficient (rs) can be calculated as follows.

rS=sabsbsb=11.40(7.056)(6.917)=0.2336

The correlation coefficient is 0.2336. Since the calculated correlation coefficient is less than the table value, the alternate hypothesis is not accepted.

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Chapter 19 Solutions

Statistics for Management and Economics (Book Only)

Ch. 19.1 - Prob. 11ECh. 19.1 - Prob. 12ECh. 19.1 - Prob. 13ECh. 19.1 - Prob. 14ECh. 19.1 - Prob. 15ECh. 19.1 - Prob. 16ECh. 19.1 - Prob. 17ECh. 19.1 - Prob. 18ECh. 19.1 - Prob. 19ECh. 19.1 - Prob. 20ECh. 19.1 - Prob. 21ECh. 19.1 - Prob. 22ECh. 19.1 - Prob. 23ECh. 19.1 - Prob. 24ECh. 19.1 - Prob. 25ECh. 19.1 - Prob. 26ECh. 19.1 - Prob. 27ECh. 19.1 - Prob. 28ECh. 19.1 - Prob. 29ECh. 19.1 - Prob. 30ECh. 19.1 - Prob. 31ECh. 19.1 - Prob. 32ECh. 19.1 - Prob. 33ECh. 19.1 - Prob. 34ECh. 19.2 - Prob. 35ECh. 19.2 - Prob. 36ECh. 19.2 - Prob. 37ECh. 19.2 - Prob. 38ECh. 19.2 - Prob. 39ECh. 19.2 - Prob. 40ECh. 19.2 - Prob. 41ECh. 19.2 - Prob. 42ECh. 19.2 - Prob. 43ECh. 19.2 - Prob. 44ECh. 19.2 - Prob. 45ECh. 19.2 - Prob. 46ECh. 19.2 - Prob. 47ECh. 19.2 - Prob. 48ECh. 19.2 - Prob. 49ECh. 19.2 - Prob. 50ECh. 19.2 - Prob. 51ECh. 19.2 - Prob. 52ECh. 19.2 - Prob. 53ECh. 19.2 - Prob. 54ECh. 19.2 - Prob. 55ECh. 19.2 - Prob. 56ECh. 19.2 - Prob. 57ECh. 19.2 - Prob. 58ECh. 19.2 - Prob. 59ECh. 19.3 - Prob. 60ECh. 19.3 - Prob. 61ECh. 19.3 - Prob. 62ECh. 19.3 - Prob. 63ECh. 19.3 - Prob. 64ECh. 19.3 - Prob. 65ECh. 19.3 - Prob. 66ECh. 19.3 - Prob. 67ECh. 19.3 - Prob. 68ECh. 19.3 - Prob. 69ECh. 19.3 - Prob. 70ECh. 19.3 - Prob. 71ECh. 19.3 - Prob. 72ECh. 19.3 - Prob. 73ECh. 19.3 - Prob. 74ECh. 19.3 - Prob. 75ECh. 19.3 - Prob. 76ECh. 19.3 - Prob. 77ECh. 19.3 - Prob. 78ECh. 19.3 - Prob. 79ECh. 19.3 - Prob. 80ECh. 19.3 - Prob. 81ECh. 19.3 - Prob. 82ECh. 19.3 - Prob. 83ECh. 19.3 - Prob. 84ECh. 19.3 - Prob. 85ECh. 19.3 - Prob. 86ECh. 19.3 - Prob. 87ECh. 19.3 - Prob. 88ECh. 19.3 - Prob. 89ECh. 19.3 - Prob. 90ECh. 19.3 - Prob. 91ECh. 19.3 - Prob. 92ECh. 19.3 - Prob. 93ECh. 19.4 - Prob. 94ECh. 19.4 - Prob. 95ECh. 19.4 - Prob. 96ECh. 19.4 - Prob. 97ECh. 19.4 - Prob. 98ECh. 19.4 - Prob. 99ECh. 19.4 - Prob. 100ECh. 19.4 - Prob. 101ECh. 19.4 - Prob. 102ECh. 19.4 - Prob. 103ECh. 19.4 - Prob. 104ECh. 19.4 - Prob. 105ECh. 19.4 - Prob. 106ECh. 19.4 - Prob. 107ECh. 19.4 - Prob. 108ECh. 19.4 - Prob. 109ECh. 19.4 - Prob. 110ECh. 19.4 - Prob. 111ECh. 19.4 - Prob. 112ECh. 19.4 - Prob. 113ECh. 19.4 - Prob. 114ECh. 19.4 - Prob. 115ECh. 19.4 - Prob. 116ECh. 19.4 - Prob. 117ECh. 19.A - Prob. 1ECh. 19.A - Prob. 2ECh. 19.A - Prob. 3ECh. 19.A - Prob. 4ECh. 19.A - Prob. 5ECh. 19.A - Prob. 6ECh. 19.A - Prob. 7ECh. 19.A - Prob. 8ECh. 19.A - Prob. 9ECh. 19.A - Prob. 10ECh. 19.A - Prob. 11ECh. 19.A - Prob. 12ECh. 19.A - Prob. 13ECh. 19.A - Prob. 14ECh. 19.A - Prob. 15ECh. 19.A - Prob. 16ECh. 19.A - Prob. 17ECh. 19.A - Prob. 18ECh. 19.A - Prob. 19ECh. 19.A - Prob. 20ECh. 19.A - Prob. 21ECh. 19.A - Prob. 22ECh. 19.A - Prob. 23ECh. 19.A - Prob. 24ECh. 19.A - Prob. 25ECh. 19.A - Prob. 26ECh. 19.A - Prob. 27ECh. 19.A - Prob. 28ECh. 19.A - Prob. 29ECh. 19.A - Prob. 30ECh. 19.A - Prob. 31ECh. 19.A - Prob. 32ECh. 19.A - Prob. 33ECh. 19.A - Prob. 34ECh. 19.A - Prob. 35ECh. 19.A - Prob. 36ECh. 19.A - Prob. 37ECh. 19.A - Prob. 38ECh. 19.A - Prob. 39ECh. 19.A - Prob. 40ECh. 19.A - Prob. 41ECh. 19.A - Prob. 42ECh. 19.A - Prob. 43ECh. 19.A - Prob. 44ECh. 19.A - Prob. 45ECh. 19.A - Prob. 46ECh. 19.A - Prob. 47ECh. 19.A - Prob. 48ECh. 19.A - Prob. 49ECh. 19 - Prob. 118CECh. 19 - Prob. 119CECh. 19 - Prob. 120CECh. 19 - Prob. 121CECh. 19 - Prob. 122CECh. 19 - Prob. 123CECh. 19 - Prob. 124CECh. 19 - Prob. 125CECh. 19 - Prob. 126CECh. 19 - Prob. 127CECh. 19 - Prob. 128CECh. 19 - Prob. 129CECh. 19 - Prob. 130CECh. 19 - Prob. 131CECh. 19 - Prob. 132CECh. 19 - Prob. 133CECh. 19 - Prob. 134CECh. 19 - Prob. 135CECh. 19 - Prob. 136CECh. 19 - Prob. 137CECh. 19 - Prob. 138CECh. 19 - Prob. 139CE
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