Do men take more time than women to get out of bed in the morning? The 46 men observed averaged 6.5 minutes to get out of bed after the alarm rang. Their standard deviation was 1.1. The 45 women observed averaged 6 minutes and their standard deviation was 2.9 minutes. What can be concluded at the αα = 0.01 level of significance?For this study, we should use The null and alternative hypotheses would be: H0:H0: u1 or p1, <,>,=, u2, p2 (please enter a decimal) H1:H1: u1 or p1, <,>,=, u2, p2 (Please enter a decimal)The test statistic z or t is 1.083. Enter it here (please show your answer to 3 decimal places.)The p-value is 0.1417. Enter it here (Please show your answer to 4 decimal places.)The p-value is <,> ααBased on this, we should fail to reject, accept,or reject the null hypothesis.Thus, the final conclusion is that ...The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the mean time to get out of bed in the morning for the 46 men that were observed is more than the mean time for the 45 women that were observed.The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the population mean time for men to get out of bed in the morning is more than the population mean time for women to get out of bed in the morning.The results are statistically insignificant at αα = 0.01, so there is insufficient evidence to conclude that the population mean time for men to get out of bed in the morning is more than the population mean time for women to get out of bed in the morning.The results are statistically insignificant at αα = 0.01, so there is statistically significant evidence to conclude that the population mean time for men to get out of bed in the morning is equal to the population mean time for women to get out of bed in the morning.Interpret the p-value in the context of the study.There is a 14.17% chance of a Type I error.If the population mean time for men to get out of bed in the morning is the same as the population mean time for women to get out of bed in the morning and if another 46 men and 45 women are observed then there would be a 14.17% chance that the mean time to get out of bed for the 46 men would be at least 0.5 minutes more than the mean time to get out of bed for the 45 women.If the sample mean time to get out of bed for the 45 men is the same as the sample mean time to get out of bed for the 45 women and if another 46 men and 45 women are observed then there would be a 14.17% chance of concluding that the mean time to get out of bed for the 46 men is at least 0.5 minutes more than the mean time to get out of bed for the 45 womenThere is a 14.17% chance that the mean time to get out of bed for the 46 men is at least 0.5 minutes more than the mean time to get out of bed for the 45 women.Interpret the level of significance in the context of the study.If the population mean time for men to get out of bed in the morning is the same as the population mean time for women to get out of bed in the morning and if another 46 men and 45 women are observed then there would be a 1% chance that we would end up falsely concluding that the population mean time for men to get out of bed in the morning is more than the population mean time for women to get out of bed in the morningIf the population mean time for men to get out of bed in the morning is the same as the population mean time for women to get out of bed in the morning and if another 46 men and 45 women are observed then there would be a 1% chance that we would end up falsely concluding that the sample mean time for these 46 men and 45 women to get out of bed in the morning differ from each other.There is a 1% chance you will take so long to get out of bed in the morning that you will miss the deadline to complete this assignment.There is a 1% chance that there is a difference in the population mean time for men and women to get out of bed in the morning.

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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

Problem 1P

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Do men take more time than women to get out of bed in the morning? The 46 men observed averaged 6.5 minutes to get out of bed after the alarm rang. Their standard deviation was 1.1. The 45 women observed averaged 6 minutes and their standard deviation was 2.9 minutes. What can be concluded at the αα = 0.01 level of significance?

For this study, we should use
The null and alternative hypotheses would be:

H0:H0: u1 or p1, <,>,=, u2, p2 (please enter a decimal)

H1:H1: u1 or p1, <,>,=, u2, p2 (Please enter a decimal)

The test statistic z or t is 1.083. Enter it here (please show your answer to 3 decimal places.)
The p-value is 0.1417. Enter it here (Please show your answer to 4 decimal places.)
The p-value is <,> αα
Based on this, we should fail to reject, accept,or reject the null hypothesis.
Thus, the final conclusion is that ...
- The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the mean time to get out of bed in the morning for the 46 men that were observed is more than the mean time for the 45 women that were observed.
- The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the population mean time for men to get out of bed in the morning is more than the population mean time for women to get out of bed in the morning.
- The results are statistically insignificant at αα = 0.01, so there is insufficient evidence to conclude that the population mean time for men to get out of bed in the morning is more than the population mean time for women to get out of bed in the morning.
- The results are statistically insignificant at αα = 0.01, so there is statistically significant evidence to conclude that the population mean time for men to get out of bed in the morning is equal to the population mean time for women to get out of bed in the morning.
Interpret the p-value in the context of the study.
- There is a 14.17% chance of a Type I error.
- If the population mean time for men to get out of bed in the morning is the same as the population mean time for women to get out of bed in the morning and if another 46 men and 45 women are observed then there would be a 14.17% chance that the mean time to get out of bed for the 46 men would be at least 0.5 minutes more than the mean time to get out of bed for the 45 women.
- If the sample mean time to get out of bed for the 45 men is the same as the sample mean time to get out of bed for the 45 women and if another 46 men and 45 women are observed then there would be a 14.17% chance of concluding that the mean time to get out of bed for the 46 men is at least 0.5 minutes more than the mean time to get out of bed for the 45 women
- There is a 14.17% chance that the mean time to get out of bed for the 46 men is at least 0.5 minutes more than the mean time to get out of bed for the 45 women.
Interpret the level of significance in the context of the study.
- If the population mean time for men to get out of bed in the morning is the same as the population mean time for women to get out of bed in the morning and if another 46 men and 45 women are observed then there would be a 1% chance that we would end up falsely concluding that the population mean time for men to get out of bed in the morning is more than the population mean time for women to get out of bed in the morning
- If the population mean time for men to get out of bed in the morning is the same as the population mean time for women to get out of bed in the morning and if another 46 men and 45 women are observed then there would be a 1% chance that we would end up falsely concluding that the sample mean time for these 46 men and 45 women to get out of bed in the morning differ from each other.
- There is a 1% chance you will take so long to get out of bed in the morning that you will miss the deadline to complete this assignment.
- There is a 1% chance that there is a difference in the population mean time for men and women to get out of bed in the morning.

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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