Investigation Background: For this investigation you will be comparing the Exam 1 scores between two populations. The first population will be students from all of my sections from my Fall 2020 Math 140 class. The second population will be students from all of my sections from my Spring 2021 Math140 class. The data set you are provided with contains two columns. The first column, Fall2020 Score, contains the Exam 1 scores from Fall 2020 Math140-1146. The second column, Spring2021_Score, contains the scores from your class: Spring 2021 Math140- 1146. Our goal is to determine whether there is a difference in the mean scores of Exam1 from Fall 2020 and Spring 2021. Based on the P-value that you obtained in part d of section 3, do you reject or fail to reject the null hypothesis? Explain your reasoning. a. b. In the context of the investigation, interpret your answer from section 4 part a.

why do you think the data presented this way?

Please complete the following question. Make sure you are responding to all parts of the question.    The number of awards earned by students at one high school is recorded. Predictors of the number of awards earned include the type of program in which the student was enrolled (e.g., vocational, general or academic) and the score on their final exam in math. Variables Participant number (ID) Number of awards Program type (vocational - 1; general - 2; academic - 3 Math Score   id    num_awards    prog    math 45    1    3    41 108    1    1    41 15    1    3    44 67    1    3    42 153    1    3    40 51    1    1    42 164    1    3    46 133    1    3    40 2    1    3    33 53    1    3    46 1    1    3    40 128    0    2    38 16    1    3    44 106    1    3    37 89    1    3    40 134    1    1    39 19    1    1    43 145    0    3    38 11    1    2    45 117    0    3    39 109    1    1    42 12    1    3    45 37    1    3    40 69    0    3    40 43    1    2    43…

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