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 84 74 96 82 72 85 77 77 Classroom 87 72 97 84 72 86 76 75 Assume a Normal distribution. What can be concluded at the the αα = 0.01 level of significance level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion z-test for the difference between two population proportions 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 μ1 p1 μd Select an answer < ≠ > = Select an answer p2 μ2 0 (please enter a decimal) H1:H1: Select an answer μd μ1 p1 Select an answer > < ≠ = Select an answer p2 μ2 0 (Please enter a decimal) The test statistic ? t z = (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 reject fail to reject accept the null hypothesis. Thus, the final conclusion is that ... The results are statistically insignificant at αα = 0.01, 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 significant at αα = 0.01, 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 significant at αα = 0.01, so there is sufficient evidence to conclude that the eight students scored lower on average taking the exam alone compared to the classroom setting. The results are statistically insignificant at αα = 0.01, 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.

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 84 74 96 82 72 85 77 77 Classroom 87 72 97 84 72 86 76 75 Assume a Normal distribution. What can be concluded at the the αα = 0.01 level of significance level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion z-test for the difference between two population proportions 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 μ1 p1 μd Select an answer < ≠ > = Select an answer p2 μ2 0 (please enter a decimal) H1:H1: Select an answer μd μ1 p1 Select an answer > < ≠ = Select an answer p2 μ2 0 (Please enter a decimal) The test statistic ? t z = (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 reject fail to reject accept the null hypothesis. Thus, the final conclusion is that ... The results are statistically insignificant at αα = 0.01, 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 significant at αα = 0.01, 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 significant at αα = 0.01, so there is sufficient evidence to conclude that the eight students scored lower on average taking the exam alone compared to the classroom setting. The results are statistically insignificant at αα = 0.01, 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.

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Description: 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 ot

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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Exam Scores

Alone	84	74	96	82	72	85	77	77
Classroom	87	72	97	84	72	86	76	75

Assume a Normal distribution. What can be concluded at the the αα = 0.01 level of significance level of significance?

For this study, we should use Select an answer t-test for a population mean z-test for a population proportion z-test for the difference between two population proportions 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 μ1 p1 μd Select an answer < ≠ > = Select an answer p2 μ2 0 (please enter a decimal)

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

The test statistic ? t z = (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 reject fail to reject accept the null hypothesis.
Thus, the final conclusion is that ...
- The results are statistically insignificant at αα = 0.01, 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 significant at αα = 0.01, 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 significant at αα = 0.01, so there is sufficient evidence to conclude that the eight students scored lower on average taking the exam alone compared to the classroom setting.
- The results are statistically insignificant at αα = 0.01, 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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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