Question

2. Researchers want to know if there is a difference in comprehension among student, leering computer programn based on the style ol test. They randomly divide 36 stadents oll simila education level, age, software using a visual marvaal and group 2 individuals learned the softwrare using a bwwhual manual The following data represent scores that the shudents recelved on an eam given to them after they stadied the manuals A normal probability plot for the data and a boxplot indicate that the differences are approximately normally distributed and there are no outliers and so on, into two groups of 18 each. Group 1 individuals learned the Visual Manual Textual Marmaal 1.08 60.35 76.60 57.60 44.85 75.21 75.28 57.07 123 57 40 20 43.58 80.30 52.20 67.30 60.82 49.48 49.57 4201 61.16 hypothesis that there is a statistically significant difference between the types of manuals a. What type of test will you use? b. Use StatCrunch to complete the table Textual Manual Visual Manual Sample Sample Mean Mean Sample Sample standard standard Deviation Deviation s I- Based on the sample means and sample standard deviations, do you think the difference is statistically different? Why or why not? c. State H and H d. State the p-value

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Answer #1

a. Here we need to use unpaired two sample t-test as we need to compare the mean of two samples where 36 students were randomly divided.

Done rest of the analysis below in R

Console Terminal > visual-c(5108,6035,5703,7660,4485,7077,7521,7015,5687,4760,7528,4659,5707,8123,8030,6730,5220,6082)/100 > text-C (6455,5654, 5760, 3991,6859,6531,5075,5195,4963,4907,4358,4883,5740,7240,4948,4201,4957,6116)/100 > t test (visual ,text , mu 0) welch Two Sample t-test data visual and text t 2. 3783, df 31.853 p-value0. 02356 alternative hypothesis: true difference in means is not equal to 0 95 percent confidence interval: 1. 218332 15.778335 sample estimates: mean of x mean of y 54. 35167 62. 85000 > #sample mean for visual as shown above is 62.85000 > #sample mean for textual as shown above is 54.35167 > sd(visual)#s ample std deviation for visual below [1] 12.03133 > sd(text)?sample std deviation for textual below [1] 9. 224244 > #p value as performed in the above test is 0.02356 > #conclusion: since p value of the test is less than 0.05 hence with 95% conf we can say that we can reje ct Ho and hence we conclude that at 95% confidence level the mean of scor e of both the samples are differe nt

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