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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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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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.

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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