Do men score the same on average compared to women on their statistics finals? Final exam scores of eleven randomly selected male statistics students and eleven randomly selected female statistics students are shown below. Male: 59 85 89 66 70 92 75 91 61 65 58 Female: 54 49 81 63 75 58 59 55 75 74 70 Assume both follow a Normal distribution. What can be concluded at the the αα = 0.05 level of significance level of significance? For this study, we should use Select an answer t-test for the difference between two independent population means t-test for the difference between two dependent population means t-test for a population mean z-test for the difference between two population proportions z-test for a population proportion The null and alternative hypotheses would be: H0:H0: Select an answer p1 μ1 Select an answer < = ≠ > Select an answer p2 μ2 (please enter a decimal) H1:H1: Select an answer μ1 p1 Select an answer < > ≠ = Select an answer p2 μ2 (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 fail to reject reject accept the null hypothesis. Thus, the final conclusion is that ... The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the mean final exam score for the eleven men that were observed is not the same as the mean final exam score for the eleven women that were observed. The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the population mean statistics final exam score for men is not the same as the population mean statistics final exam score for women. The results are statistically insignificant at αα = 0.05, so there is insufficient evidence to conclude that the population mean statistics final exam score for men is not the same as the population mean statistics final exam score for women. The results are statistically insignificant at αα = 0.05, so there is statistically significant evidence to conclude that the population mean statistics final exam score for men is equal to the population mean statistics final exam score for women.

Do men score the same on average compared to women on their statistics finals? Final exam scores of eleven randomly selected male statistics students and eleven randomly selected female statistics students are shown below. Male: 59 85 89 66 70 92 75 91 61 65 58 Female: 54 49 81 63 75 58 59 55 75 74 70 Assume both follow a Normal distribution. What can be concluded at the the αα = 0.05 level of significance level of significance? For this study, we should use Select an answer t-test for the difference between two independent population means t-test for the difference between two dependent population means t-test for a population mean z-test for the difference between two population proportions z-test for a population proportion The null and alternative hypotheses would be: H0:H0: Select an answer p1 μ1 Select an answer < = ≠ > Select an answer p2 μ2 (please enter a decimal) H1:H1: Select an answer μ1 p1 Select an answer < > ≠ = Select an answer p2 μ2 (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 fail to reject reject accept the null hypothesis. Thus, the final conclusion is that ... The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the mean final exam score for the eleven men that were observed is not the same as the mean final exam score for the eleven women that were observed. The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the population mean statistics final exam score for men is not the same as the population mean statistics final exam score for women. The results are statistically insignificant at αα = 0.05, so there is insufficient evidence to conclude that the population mean statistics final exam score for men is not the same as the population mean statistics final exam score for women. The results are statistically insignificant at αα = 0.05, so there is statistically significant evidence to conclude that the population mean statistics final exam score for men is equal to the population mean statistics final exam score for women.

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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Male: 59 85 89 66 70 92 75 91 61 65 58

Female: 54 49 81 63 75 58 59 55 75 74 70

Assume both follow a Normal distribution. What can be concluded at the the αα = 0.05 level of significance level of significance?

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

The null and alternative hypotheses would be:

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

H1:H1: Select an answer μ1 p1 Select an answer < > ≠ = Select an answer p2 μ2 (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 fail to reject reject accept the null hypothesis.
Thus, the final conclusion is that ...
- The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the mean final exam score for the eleven men that were observed is not the same as the mean final exam score for the eleven women that were observed.
- The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the population mean statistics final exam score for men is not the same as the population mean statistics final exam score for women.
- The results are statistically insignificant at αα = 0.05, so there is insufficient evidence to conclude that the population mean statistics final exam score for men is not the same as the population mean statistics final exam score for women.
- The results are statistically insignificant at αα = 0.05, so there is statistically significant evidence to conclude that the population mean statistics final exam score for men is equal to the population mean statistics final exam score for women.

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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