Question
Forget everything about JMP just do the part says MATLAB. You can se TXT or Excel file to input. Perform a One-Sample t test for
Forget everything about JMP just do the part says MATLAB. You can se TXT or Excel file to input.
Perform a One-Sample t test for 30 students comparing their scores (Table 1 below) on a particular quiz to the National Mean of 6.7 for (participated) college students. Compare the t test score generated utilizing Matlab and JMP with the critical t value* (for a particular probability level and degree of freedom) and discuss the result in the context of hypothesis testing. The step-by-step instructions are provided after Table 1 below.
Table 1. Test Scores for 30 Students
Student # | Quiz Score | Student # | Quiz Score | Student # | Quiz Score |
1 | 9 | 11 | 8 | 21 | 8 |
2 | 7 | 12 | 8 | 22 | 7 |
3 | 7 | 13 | 4 | 23 | 7 |
4 | 8 | 14 | 5 | 24 | 6 |
5 | 6 | 15 | 8 | 25 | 8 |
6 | 9 | 16 | 9 | 26 | 5 |
7 | 5 | 17 | 10 | 27 | 7 |
8 | 8 | 18 | 6 | 28 | 7 |
9 | 9 | 19 | 8 | 29 | 6 |
10 | 6 | 20 | 10 | 30 | 6 |
You need Matlab, JMP, and Word software programs open for this exercise.
Step 1: Data input Table 1 and perform descriptive statistical analyses in Matlab and JMP.
Step 2: Generate histogram (distribution plot) and descriptive statistics outputs (i.e., mean, median, mode, standard deviation, N number, standard error of the mean).
Step 3: Setup the null hypothesis (H0) and the alternative hypothesis (Ha). Write down the specifics of the hypotheses utilizing the specific mean values. For example, if you have an A = [1, 3, 5, 7, 10] array and your hypothetical (population) mean mu () is 5.1, then your null hypothesis will be 'H0: mean(A) = mu ()' while your alternative hypothesis will be 'Ha: mean(A) mu ()'. Based on the calculations below, you will either accept or reject the null hypothesis.
Step 4: Calculate the mean difference and calculate the ratio between the mean distance and the standard error (of your sample distribution). This ratio is referred to as the critical t value (or the test statistic, in JMP, specifically).
Step 5: Find the location of the critical t value for a Student's t distribution (tpdf) with the mu () value being 6.7 and the degrees of freedom being N-1.
Step 6: Find the probability value for when you integrate the Student's t distribution (tpdf) from the critical t value to + infinity. Additionally, find the probability value for the same integration but from the critical t value down to - infinity. These are the cumulative probability values - the p values - above and below the calculate critical t value.
Step 7: Please utilize the 95 % confidence level (alpha = 0.05) to discuss whether your calculate p values are larger or smaller than 0.05. Basically, is any of these integrated values from Step 6 smaller than 0.05? Depending on the results you will either accept or reject the null hypothesis (H0). Update the alternative hypothesis (Step 3) to conduct a one-sided (directional) study. Basically, setup 'Ha: mean(A) > mu ()' and test when mean(A) is statistical larger than the hypothetical (population) mean of 6.7.
Step 8: The hypothesis testing methodology and the analysis results will need to be detailed in a Word document using up to 300 words and up to three figures.
Step 9: Name the files according to the following naming convention and check that you have Matlab, JMP analysis files, along with the Excel data file, and the explanation Word file. Zip all the files and upload that on Canvas
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