Suppose there are 1,323 subjects in a particular category (nc = 1,323), and there are a total of 6,300 total subjects in the sample, (n = 6300). Compute the relative frequency of this category.
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Suppose there are 1,323 subjects in a particular category (nc = 1,323), and there are a total of 6,300 total subjects in the sample, (n = 6300). Compute the relative frequency of this category.
Number of subject in particular category nc = 1323
Total number of subject n = 6300
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- A researcher is interested in the relationship between birth order and personality. A sample of n= 100 people is obtained, all of whom grew up in families as one of three children. Each person is given a personality test, and the researcher also records the person’s birth-order position (1st born, 2nd, or 3rd). The frequencies from this study are shown in the following table. On the basis of these data, can the researcher conclude that there is a significant relation between birth order and personality? Test at the .05 level of significance. Birth Position 1st 2nd 3rd Outgoing 13 31 16 Reserved 17 19 4 The expected frequencies for Outgoing, Birth Position 1st is: The expected frequencies for…table 1 gives flight arrival numbers from a random sample of flights for airlines. Airline 1 early =133 on-time = 416+ late =150 total 699.. Airline 2 early =58 on-time =354 late =87 total =499. total early = 191 on-time =770 late =237 overall total =1198 . Test whether there is a difference between the two airlines in the percent of flights that arrive late. FIND THE RELEVANT SAMPLE PROPORTIONS IN EACH GROUP AND THE POOLED PROPORTION. P HAT 1= ? P HAT 2= ? P HAT = ? STATE THE NULL AND THE ALTERNATIVE HYPOTHESES? GIVE THE TEST STATISTIC AND THE P-VALUE?…Page 160 #17 We predict that children exhibit more aggressive act after watching a violent television show. The scores for ten children were recorded before they watched a violent show and then after they watched a violent show. Aggression was measured in terms of number of aggressive acts (e.g. hitting, yelling, kicking etc). Sample 1 (after TV show): 5,6,4,4,7,3,2,1,4,1 Sample 2 (before TV show): 4,6,3,2,4,1,0,0,5,2 Is this a one-tailed or two-tailed test?
- In a study comparing banks in two countries, a sample of 142 matched pairs of banks was formed. Each pair contained one bank from country x and one from country y. The pairings were made in such a way that the two members were as similar as possible in regard to such factors as size and age. The ratio of total loans outstanding to total assets was calculated for each of the banks. For this ratio, the sample mean difference (country x - country y) was 0.0579, and the sample standard deviation of the differences was 0.3086. Test, against a two-sided alternative, the null hypothesis that the two population means are equal. (Assume α = 0.01.) Click the icon to view the critical values of the Student's t distribution. Which of the following correctly states Ho and H₁ ? A. Ho: Mx Hy = 0 H₁: Hx-Hy >0 OC. Ho: Mx Hy ‡0 Hi HxHy=0 - O E. Ho: Mx Hy = 0 H₁: Hx-Hy <0 B. Ho: Mx Hy = 0 H₁: Hx-Hy #0 D. Ho: Hx-Hy = 0 H₁: Hx-Hy 20 OF. Ho: Mx Hy = = 0 H₁: Hx-Hy ≤0In a study comparing banks in two countries, a sample of 142 matched pairs of banks was formed. Each pair contained one bank from country x and one from country y. The pairings were made in such a way that the two members were as similar as possible in regard to such factors as size and age. The ratio of total loans outstanding to total assets was calculated for each of the banks. For this ratio, the sample mean difference (country x - country y) was 0.0579, and the sample standard deviation of the differences was 0.3086. Test, against a two-sided alternative, the null hypothesis that the two population means are equal. (Assume α = 0.01.) Click the icon to view the critical values of the Student's t distribution. The test statistic is t = 2.236. (Round to three decimal places as needed.) The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.)(5) A certain educational institute has 15 centers located at different places in a city. There are three telephone operators in each center. The manager wanted to estimate the average number of calls received per telephone per week for this institute. He decided to select four centers and the number of calls received on last week for each operator were recorded. The data collected are given in Table 02. Answer the following questions. Table 02: Number of calls received for each operator 25, 15, 30 18, 12, 10 20, 18, 22 15, 20, 18 Center 1 4 (i) (ii) What is the sampling method used in this study? Justify your answer. Estimate the average number of telephone calls received per telephone operator.
- A researcher is interested in the relationship between birth order and personality. A sample of n - 100 people is obtained, all of whom grew up in families as one of three children. Each person is given a personality test, and the researcher also records the person's birth-order position (1st born, 2nd, or 3rd). The frequencies from this study are shown in the following table. On the basis of these data, can the researcher conclude that there is a significant relation between birth order and personality? Test at the .05 level of significance. Birth Position 1st 2nd 3rd Outgoing 13 31 16 Reserved 17 19 4 1) false 2)6.89 3) 7.24 4)10.60 5)4 6)8.51 7) 12.84 8) 3 9)2 10)20 11)8 12) There is no relationship between birth order and personality 13)7.81 14)12 15) There is a relationship between birth order and personality 16)18 17)5.99 18) true 19) 30 The critical value is: The expected frequencies for Outgoing, Birth Position 1st is: The expected frequencies for Outgoing, Birth Position 3rd…The following data represents the age of 30 lottery winners. Given the frequency distribution for the data, Age Frequency Relative Frequency Cumulative Relative Frequency [20,29] 1 0.0333 0.0333 [30,39] 5 0.1667 0.2 [40,49] 7 0.2333 0.4333 [50,59] 5 0.1667 0.6 [60,69] 10 0.3333 0.9333 [70,79] 1 0.0333 0.9666 [80,89] 1 0.0333 0.9999 What is the frequency of lottery winners of age between 19 and 40? What percentage of lottery winners are 70 years or older? % What is the relative frequency of ages under 40? What is the cumulative relative frequency of lottery winners younger than 50?1. A researcher wishes to determine if the following distances (in meters) traveled by a random sample of ten world-class long jumpers are highly affected by the speed (in meters per second) at takeoff. The distances recorded from the sample long jumpers are as follows: 7.67, 8.22, 7.94, 7.16, 8.08, 7.35, 7.89, 7.76, 7.25, and 7.43. On the other hand, the speeds are recorded as follows: 8.9, 9.2, 8.1, 8.6, 9.0, 8.4, 8.8, 9.1, 8.0, and 8.2. What will be the distance, assuming that the speed is 9.4 meters per second? Round your answer to two decimal places. There is no need to place the unit. 2. A certain regression line equation has the slope equal to 720.25 and an intercept that is equal to -182.4. What will be the predicted score for the dependent variable if the independent variable is 281.5? Round your answers to two decimal places. Do not place any unit.