Do men score lower on average compared to women on their statistics finals? Final exam scores of thirteen randomly selected male statistics students and ten randomly selected female statistics students are shown below.Male: 64 93 70 55 87 63 89 76 57 87 64 83 74Female: 91 93 89 87 83 99 73 94 99 72Assume 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 The null and alternative hypotheses would be: H0:H0: Correct Correct Correct (please enter a decimal) H1:H1: Correct Incorrect Correct (Please enter a decimal)The test statistic = (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 the null hypothesis.Thus, the final conclusion is that ...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 less than 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.The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the mean final exam score for the thirteen men that were observed is less than the mean final exam score for the ten 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 less than the population mean statistics final exam score for women.

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Description: Do men score lower on average compared to women on their statistics finals? Final exam scores of thirteen randomly selected male statistics students and ten randomly selected female statistics students are shown below.Male: 64 93 70 55

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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

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Do men score lower on average compared to women on their statistics finals? Final exam scores of thirteen randomly selected male statistics students and ten randomly selected female statistics students are shown below.

Male: 64 93 70 55 87 63 89 76 57 87 64 83 74

Female: 91 93 89 87 83 99 73 94 99 72

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

The null and alternative hypotheses would be:

H0:H0: Correct Correct Correct (please enter a decimal)

H1:H1: Correct Incorrect Correct (Please enter a decimal)

The test statistic = (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 the null hypothesis.
Thus, the final conclusion is that ...
- 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 less than 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.
- The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the mean final exam score for the thirteen men that were observed is less than the mean final exam score for the ten 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 less than 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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