Do men score lower on average compared to women on their statistics finals? Final exam scores of thirteen randomly selected male statistics students and thirteen randomly selected female statistics students are shown below. Male: 66 89 59 69 91 84 86 73 91 87 91 77 89 Female: 79 88 99 78 86 83 87 99 94 77 92 95 73 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 t-test for the difference between two independent population means t-test for the difference between two dependent population means z-test for the difference between two population proportions t-test for a population mean 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 μ2 p2 (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 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 = 0.10, 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 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 less than the mean final exam score for the thirteen women that were observed. 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 lower on average compared to women on their statistics finals? Final exam scores of thirteen randomly selected male statistics students and thirteen randomly selected female statistics students are shown below. Male: 66 89 59 69 91 84 86 73 91 87 91 77 89 Female: 79 88 99 78 86 83 87 99 94 77 92 95 73 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 t-test for the difference between two independent population means t-test for the difference between two dependent population means z-test for the difference between two population proportions t-test for a population mean 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 μ2 p2 (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 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 = 0.10, 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 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 less than the mean final exam score for the thirteen women that were observed. 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.

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: 66 89 59 69 91 84 86 73 91 87 91 77 89

Female: 79 88 99 78 86 83 87 99 94 77 92 95 73

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 t-test for the difference between two independent population means t-test for the difference between two dependent population means z-test for the difference between two population proportions t-test for a population mean 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 μ2 p2 (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 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 = 0.10, 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 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 less than the mean final exam score for the thirteen women that were observed.
- 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.

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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