Do men score higher on average compared to women on their statistics finals? Final exam scores of thirteen randomly selected male statistics students and twelve randomly selected female statistics students are shown below. Male: 58 63 58 82 94 71 55 95 62 86 65 69 88 Female: 49 62 79 55 50 64 66 81 80 49 50 59 Assume both follow 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? t-test for the difference between two dependent population means? t-test for the difference between two independent population means ? or z-test for a population proportion? The null and alternative hypotheses would be: H0: Select an answer μ1 or p1 Select an answer > < = ≠ Select an answer p2 or μ2 (please enter a decimal) H1:H1: Select an answer μ1 or p1 Select an answer = > < ≠ Select an answer p2 or μ2 (Please enter a decimal) 2. The test statistic ? t or z = _____ (please show your answer to 3 decimal places.) The p-value = ________ (Please show your answer to 4 decimal places.) The p-value is ? > or ≤ α 3. Based on this, we should Select an answer accept reject fail to 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 statistics final exam score for men is more than the population mean statistics final exam score for women. The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the mean final exam score for the thirteen men that were observed is more than the mean final exam score for the twelve women that were observed. The results are statistically insignificant at αα = 0.10, so there is insufficient evidence to conclude that the population mean statistics final exam score for men is more than the population mean statistics final exam score for women. The results are statistically insignificant at αα = 0.10, 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 higher on average compared to women on their statistics finals? Final exam scores of thirteen randomly selected male statistics students and twelve randomly selected female statistics students are shown below. Male: 58 63 58 82 94 71 55 95 62 86 65 69 88 Female: 49 62 79 55 50 64 66 81 80 49 50 59 Assume both follow 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? t-test for the difference between two dependent population means? t-test for the difference between two independent population means ? or z-test for a population proportion? The null and alternative hypotheses would be: H0: Select an answer μ1 or p1 Select an answer > < = ≠ Select an answer p2 or μ2 (please enter a decimal) H1:H1: Select an answer μ1 or p1 Select an answer = > < ≠ Select an answer p2 or μ2 (Please enter a decimal) 2. The test statistic ? t or z = _ (please show your answer to 3 decimal places.) The p-value = ____ (Please show your answer to 4 decimal places.) The p-value is ? > or ≤ α 3. Based on this, we should Select an answer accept reject fail to 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 statistics final exam score for men is more than the population mean statistics final exam score for women. The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the mean final exam score for the thirteen men that were observed is more than the mean final exam score for the twelve women that were observed. The results are statistically insignificant at αα = 0.10, so there is insufficient evidence to conclude that the population mean statistics final exam score for men is more than the population mean statistics final exam score for women. The results are statistically insignificant at αα = 0.10, 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Male: 58 63 58 82 94 71 55 95 62 86 65 69 88

Female: 49 62 79 55 50 64 66 81 80 49 50 59

Assume both follow 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? t-test for the difference between two dependent population means? t-test for the difference between two independent population means ? or z-test for a population proportion?

The null and alternative hypotheses would be:

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

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

2. The test statistic ? t or z = _____ (please show your answer to 3 decimal places.)

The p-value = ________ (Please show your answer to 4 decimal places.)

The p-value is ? > or ≤ α

3. Based on this, we should Select an answer accept reject fail to 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 statistics final exam score for men is more than the population mean statistics final exam score for women.
The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the mean final exam score for the thirteen men that were observed is more than the mean final exam score for the twelve women that were observed.
The results are statistically insignificant at αα = 0.10, so there is insufficient evidence to conclude that the population mean statistics final exam score for men is more than the population mean statistics final exam score for women.
The results are statistically insignificant at αα = 0.10, 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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