Do students perform worse when they take an exam alone than when they take an exam in a classroom setting? Eight students were given two tests of equal difficulty. They took one test in a solitary room and they took the other in a room filled with other students. The results are shown below.Exam ScoresAlone8775758174698172Classroom9273728474698476Assume a Normal distribution. What can be concluded at the the αα = 0.10 level of significance level of significance?For this study, we should use Select an answer z-test for the difference between two population proportions t-test for a population mean z-test for a population proportion t-test for the difference between two dependent population means t-test for the difference between two independent population means The null and alternative hypotheses would be: H0:H0: Select an answer μd μ1 p1 Select an answer > ≠ < = Select an answer 0 μ2 p2 (please enter a decimal) H1:H1: Select an answer μd μ1 p1 Select an answer = < > ≠ Select an answer p2 0 μ2 (Please enter a decimal)The test statistic ? z t = (please show your answer to 3 decimal places.)The p-value = (Please show your answer to 4 decimal places.)The p-value is ? ≤ > ααBased on this, we should Select an answer accept fail to reject reject the null hypothesis.Thus, the final conclusion is that ...The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the population mean test score taking the exam alone is less than the population mean test score taking the exam in a classroom setting.The results are statistically insignificant at αα = 0.10, so there is insufficient evidence to conclude that the population mean test score taking the exam alone is less than the population mean test score taking the exam in a classroom setting.The results are statistically insignificant at αα = 0.10, so there is statistically significant evidence to conclude that the population mean test score taking the exam alone is equal to the population mean test score taking the exam in a classroom setting.The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the eight students scored lower on average taking the exam alone compared to the classroom setting.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Do students perform worse when they take an exam alone than when they take an exam in a classroom setting? Eight students were given two tests of equal difficulty. They took one test in a solitary room and they took the other in a room filled with other students. The results are shown below.

Exam Scores

Alone	87	75	75	81	74	69	81	72
Classroom	92	73	72	84	74	69	84	76

Assume a Normal distribution. What can be concluded at the the αα = 0.10 level of significance level of significance?

For this study, we should use Select an answer z-test for the difference between two population proportions t-test for a population mean z-test for a population proportion t-test for the difference between two dependent population means t-test for the difference between two independent population means

The null and alternative hypotheses would be:

H0:H0: Select an answer μd μ1 p1 Select an answer > ≠ < = Select an answer 0 μ2 p2 (please enter a decimal)

H1:H1: Select an answer μd μ1 p1 Select an answer = < > ≠ Select an answer p2 0 μ2 (Please enter a decimal)

The test statistic ? z t = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is ? ≤ > αα
Based on this, we should Select an answer accept fail to reject reject the null hypothesis.
Thus, the final conclusion is that ...
- The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the population mean test score taking the exam alone is less than the population mean test score taking the exam in a classroom setting.
- The results are statistically insignificant at αα = 0.10, so there is insufficient evidence to conclude that the population mean test score taking the exam alone is less than the population mean test score taking the exam in a classroom setting.
- The results are statistically insignificant at αα = 0.10, so there is statistically significant evidence to conclude that the population mean test score taking the exam alone is equal to the population mean test score taking the exam in a classroom setting.
- The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the eight students scored lower on average taking the exam alone compared to the classroom setting.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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