An army psychologist gave a random sample of seven soldiers a test to measure sense of humor and another test to measure aggressiveness. Higher scores mean greater sense of humor or more aggressiveness.
Soldier | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
Score on humor test | 61 | 49 | 74 | 78 | 46 | 79 | 77 |
Score on aggressiveness test | 50 | 47 | 63 | 77 | 59 | 49 | 70 |
Using a 0.05 level of significance, test the claim that rank in humor has a monotone-decreasing relation to rank in aggressiveness.
(a) Ranking the data with rank 1 for highest score on a test, make a table of ranks to be used in a Spearman rank correlation test.
Soldier | Humor Rank x |
Aggressiveness Rank y |
d = x - y | d2 |
1 2 3 4 5 6 7 |
Σd2 = |
(c) Compute the sample test statistic. (Use 3 decimal places.)
An army psychologist gave a random sample of seven soldiers a test to measure sense of...
An army psychologist gave a random sample of seven soldiers a test to measure sense of humor and another test to measure aggressiveness. Higher scores mean greater sense of humor or more aggressiveness. Soldier 1 2 3 4 5 6 7 Score on humor test 59 66 50 49 86 53 54 Score on aggressiveness test 55 53 72 61 67 65 54 Using a 0.05 level of significance, test the claim that rank in humor has a monotone-decreasing relation...
Is there a relation between murder and arson? A random sample of 15 Midwest cities (over 10,000 population) gave the following information about annual number of murder and arson cases. (Reference: Federal Bureau of Investigation, U.S. Department of Justice.)City123456789101112131415Murder122419816112010615217142318Arson307968211234710512261416487386103Use a 1% level of significance to test the claim that there is a monotone-increasing relationship between the ranks of murder and arson.(a) Rank-order murder using 1 as the largest data value. Also rank-order arson using 1 as the largest data value....
#29 Is there a relation between murder and arson? A random sample of 15 Midwest cities (over 10,000 population) gave the following information about annual number of murder and arson cases. (Reference: Federal Bureau of Investigation, U.S. Department of Justice.) City 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Murder 11 18 14 15 13 10 9 8 12 6 17 22 20 21 24 Arson 37 73 79 18 29 43 31...
Is there a relation between murder and arson? A random sample of 15 Midwest cities (over 10,000 population) gave the following information about annual number of murder and arson cases. (Reference: Federal Bureau of Investigation, U.S. Department of Justice.) City 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Murder 7 13 8 11 17 24 19 15 18 16 14 23 6 20 22 Arson 49 374 53 32 123 127 16 91...
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Is there a relation between incidents of child abuse and number of runaway children? A random sample of cities (over 10,000 population) gave the following information about the number of reported incidents of child abuse and the number of runaway children. (Reference: Federal Bureau of Investigation, U.S. Department of Justice.) City 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Abuse cases 20 76 18 115 25 92 41 57 98 94 36 93...
Turbid water is muddy or cloudy water. Sunlight is necessary for most life forms; thus turbid water is considered a threat to wetland ecosystems. Passive filtration systems are commonly used to reduce turbidity in wetlands. Suspended solids are measured in mg/l. Is there a relation between input and output turbidity for a passive filtration system and, if so, is it statistically significant? At a wetlands environment in Illinois, the inlet and outlet turbidity of a passive filtration system have been...
Big Rock Insurance Company did a study of per capita income and volume of insurance sales in eight Midwest cities. The volume of sales in each city was ranked, with 1 being the largest volume. The per capita income was rounded to the nearest thousand dollars. Reading 1 2 3 4 5 6 7 8 Rank of insurance sales volume 1 8 4 3 5 7 2 6 Per capita income in $1000 18 15 19 16 14 12 17...
A psychologist was interested in whether a sense of "Job Autonomy" (a measure of how much freedom and discretion employees have over their job -higher scores on this measure correspond to more autonomy) could predict levels of Burnout among social workers. To study this, she collected data from five social workers, and conducted a regression analysis to predict levels of Burnout from Job Autonomy. Burnout was measured with a standard scale, where 1- low burnout and 10 high burnout (so,...
Which Test those cases should use? A: one sample z-test B: one-sample t-test C: t-test for the difference between means for two related samples D: t-test for the difference between means for two independent samples with homogeneity of variance E: t-test for the difference between means for two independent samples with heterogeneity of variance F: a one sample z-test for proportions (or a chi-square goodness of fit) G: chi-square goodness of fit only (where a one sample z-test of proportions isn’t appropriate) H: a two-sample z-test...