It is known that the statistical learning outcomes for students in grades A and B are as follows. Test with x=5% whether the learning outcomes are homogeneous? Learning Outcomes 128 148 Class 97 107 96 106 Class A 104 136 178 155 118 83 Class B 106 126 146 138 176 152 116 86
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- Researchers want to know if a tutoring program affects students’ ACT scores. They used a sample of twenty students and tested them before and after the tutoring program. Use Excel to perform a dependent sample t-test to determine whether the difference between the mean pretest score and the mean posttest score is significantly different. Assume unequal variance. Subject Pretest Posttest 1 21 25 2 30 33 3 25 26 4 28 31 5 31 34 6 16 16 7 19 21 8 21 24 9 26 27 10 34 34 11 22 23 12 18 24 13 14 17 14 19 23 15 24 25 16 33 30 17 25 27 18 26 26 19 22 24 20 19 18Describe in detail the results achieved on the company’s test. Ignore other variables for now, just describe the test results. If the company is considering training for the lowest 10% of employees what score would they need to achieve to be exempted from training? Test Result 163 148 142 173 168 155 163 194 119 124 149 171 160 104 165 154 122 160 148 138 158 112 189 163 203 165 176 152 74 129 166 134 124 169 187 163 172 195 149 107 156 183 133 83 148 127 173 95 139 179 136 153 141 155 179 152 129 155 145 113 142 147 171 139 174 143 96 199 143 172 123 146 128 187 138 163 178 154 199 164 123 201 205 135 123 138 195 184 165 196 154 176 82 173 156 149 152 116 174 141 111 74 123 182 157 141 167 162 172 107 149 182 112 135 177 159 138 163 148 198…The following table shows a sample dataset of observation values of an independent variable, Age, and a dependent variable, number of toys Age 5 3 6 3 4 4 6 8 Toys 13 15 7 12 13 11 9 5 What is the value of Toys when Age is 7 (round your answer without decimal)
- You have been asked to find if there is a correlation between the amount of calories per serving in a bowl of cereal versus the amount of sugar (in grams) in the cereal. The following data has been given Which variable is the predictor and which variable is the response Sugar Calories 18 200 23 210 12 170 12 190 37 220 19 175 23 201 22 210 32 210 11 190 11 197 29 205Twenty samples of students from the first year were taken for the study related to fitness level in a university. The researcher has collected the data for a few variables: gender and fitness test score. Fitness Camp No Gender Fitness score Fitness score (Before Attend camp) (After Attend camp) 1 M 444 526 2 F 780 862 3 F 475 557 4 F 490 572 5 M 755 837 6. M 766 848 7 F 540 622 8 M 623 705 9. F 600 682 10 620 702 11 505 590 12 M 640 725 13 F 523 608 14 F 700 785 15 M 710 795 16 M 726 811 17 M 740 825 18 F 550 635 19 F 685 770 20 F 460 545 Range of Fitness Score: 0 to 900 1. Determine whether this set of data is sample or population? Why? Which formulae to be used when calculating the standard deviation of fitness score before and after camp 2. Calculate the standard deviation for fitness score before and after students attended the fitness camp for the whole samples using the formula in (1) 3. Based on the sample standard deviation in part (2), explain whether the fitness camp can…Data on grades of students who did and did not attend class regularly. What are the mean and median scores of those two groups of students? What do they suggest about the value of attending class? Attended class 241 243 246 249 250 252 254 254 255 256 261 262 263 264 264 264 265 267 267 270 271 272 273 276 276 277 278 278 280 281 282 284 288 288 290 291 291 292 293 294 296 296 297 298 310 320 321 328 Skipped class 188 195 195 225 228 232 233 237 239 240 250 256 256 256 261 264 264 268 270 270…
- An investigation is carried out to determine whether face to face or virtual learning is more effective. If 12 students took an IT course virtual and 14 took it face to face: The data of the scores made for both types of learning are shown in the table. Virtual 66 75 85 64 88 77 74 91 72 69 77 83 Face to Face 80 83 64 81 75 80 86 81 51 64 59 85 74 77 determine whether you can conclude that the mean score differs between the two types of course. You need to first set up an alternate and null hypothesisA research group is conducting an experiment to study the relationship between fitness levels and the number of hours spent exercising each week. Subjects are randomly selected and, after several fitness tests, are assigned a fitness score. The number of hours spent exercising per week is also recorded. Data for 15 subjects are given below. Subject Hours of Exercise per Week Fitness Score 1 1 3 2 1.5 4.7 3 1.75 6 4 2 5 5 2 6.5 6 4.5 14.2 7 2.5 13.5 8 3.25 15 9 3 13.4 10 3.75 14 11 3.5 10 12 4 10 13 2.5 12 14 5.25 14.5 15 5 15 Create a bar graph in Microsoft® Excel® using the data. Label the graph and include the source of the data. Construct an equation in two variables that models this relationship. This equation may be linear, polynomial, rational, square root, or variation? Is the equation an exact model or an approximate model of the relationship between the variables? Explain your reasoning. Use the equation to make a prediction of the likely value of the…The data below shows the SAT scores of 30 students at Martin Luther King High School in Florida. 1561 1554 1536 1531 1523 1518 1515 1511 1506 1500 1499 1493 1490 1489 1485 1482 1482 1479 1477 1466 1453 1448 1439 1432 1423 1421 1413 1407 1394 1388 a. Test the hypothesis that mean is less than 1500. Use the 1% level of significance. b. Would your conlcusion change at the 10% level of significance? Show all steps
- You are given the following data, where X1X1 (final percentage in math class) and X2X2 (number of absences) are used to predict YY (standardized math test score in fifth grade): YY X1X1 X2X2 375 88 3 480 98 0 310 61 5 450 89 1 345 70 3 410 72 1 465 92 2 350 70 3 370 75 4 390 80 1 420 80 2 350 78 3 415 95 2 Determine the following multiple regression values.Report intercept and slopes for regression equation accurate to 3 decimal places: Intercept: a= Partial slope X1X1: b1= Partial slope X2X2: b2= Report sum of squares accurate to 3 decimal places: SSreg= SSTotal= Test the significance of the overall regression model (report F-ratio accurate to 3 decimal places and P-value accurate to 4 decimal places): F-ratio = P-value = Report the variance of the residuals accurate to 3 decimal places: MSres= Report the results for the hypothesis test for the significance of the partial slope for number of absences…The following table presents the intelligence quotients of runaway boys. Intelligence Quotient 30 - 39 40 - 49 Number 6 50 - 59 60 60 - 69 140 70 - 79 184 80 - 89 90 - 99 100 - 109 110 - 119 139 78 37 14 What is the 5th decile class?