A sample of 12 students participated in an online tutoring program in mathematics. Each student took a pretest before the program started, and a posttest after completely the program.  Following are the scores. Student 1 2 3 4 5 6 7 8 9 10 11 12 Pre test 73 76 45 77 65 44 51 53 78 70 46 79 Post Test 83 89 57 79 75 39 62 62 76 79 39 94 Can you conclude that the median scores differ between the pretest and the posttest?  Use the α = 0.05 level of significance

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A: Solution: e) Given information  Total high school students = 900 The total students of neither…

Q: 1. The Barbadian Education Ministry in a recent publication claims that the mean score for grade 8…

A: The null and alternative hypothesis is given by; H0: μ=120Ha: μ>120The level of significance is…

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A: The minimum value is, 11 The maximum value is, 98 The first quartile is, Therefore, the first…

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A: The following set of data shows the scores of 25 students in a 100-item test in philosophy.…

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A: Given, The two-way frequency table is shown as:

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A: fist calculate 5 number summary min=25 Q1= size of ((n+1)/4)th  Observation      = size of…

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A: Given= μ= 120 to test hypothesis at 5 % significance level

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Q: mean median and mode.

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Q: The Barbadian Education Ministry in a recent publication claims that the mean score for grade 8…

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A: Arrange the data in ascending order, 98 99 102 103 103 104 114 115 117 118…

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Q: The test scores of 10 randomly selected students are listed below. Find the median. 30 35 43 44 47…

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Q: 1. The Barbadian Education Ministry in a recent publication claims that the mean score for grade 8…

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Q: A researcher has collected the following sample data. 5 12 5 8 5 7 7 5 12 4 the median is A ) 5 в) 8…

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Q: 3. The following are randomly selected scores in a Grade 8 Math test. Find the mean score of the…

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A: Rooms Frequency One 5 Two 11 Three 88 Four 183 Five 230 Six 204 Seven 123 Eight or…

Q: 199 181 55 126 124 205 90 120 216 167 198 183 173 187 143 166 147 219 206 97

A: Let X be the random variable such that score for grade x̅: Sample mean of the score for grade   s:…

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Q: 3. The following is the frequency distribution of the scores of students in a Mathematics Test.…

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A: Given,

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Q: Student 3 4 7 8. 9. 10 11 12 Pre test 73 76 45 77 65 44 51 53 78 70 46 79 Post Test 83 89 57 79 75…

A: Solution : The null and alternative hypothesis is given below:Null hypothesis:Ho:Md = 0That is,…

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Q: The following data lists the ages of a random selection of actresses when they won an award in the…

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.