Question

Do men take a different amount of time than women to get out of bed in the morning? The 42 men observed averaged 6.2 minutes to get out of bed after the alarm rang. Their standard deviation was 2.7. The 60 women observed averaged 5 minutes and their standard deviation was 2.2 minutes. What can be concluded at the α = 0.10 level of significance? For this study, we should use The null and alternative hypotheses would be: H 0 : (please enter a decimal) H 1 : (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 α Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The results are statistically significant at α = 0.10, so there is sufficient evidence to conclude that the population mean time for men to get out of bed in the morning is different than the population mean time for women to get out of bed in the morning. The results are statistically insignificant at α = 0.10, 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. The results are statistically insignificant at α = 0.10, so there is insufficient evidence to conclude that the population mean time for men to get out of bed in the morning is different than the population mean time for women to get out of bed in the morning. The results are statistically significant at α = 0.10, so there is sufficient evidence to conclude that the mean time to get out of bed in the morning for the 42 men that were observed is different than the mean time for the 60 women that were observed. Interpret the p-value 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 42 men and 60 women are observed then there would be a 1.98% chance that the mean time to get out of bed in the morning for the 42 men would differ from the mean time to get out of bed in the morning for the 60 women by at least 1.2 minutes. If the sample mean time to get out of bed in the morning for the 42 men is the same as the sample mean time to get out of bed in the morning for the 60 women and if another 42 men and 60 women are observed then there would be a 1.98% chance of concluding that the mean time to get out of bed in the morning for the 42 men differs by at least 1.2 minutes from the mean time to get out of bed in the morning for the 60 women There is a 1.98% chance that the mean time to get out of bed in the morning for the 42 men differs by at least 1.2 minutes from the mean time to get out of bed in the morning for the 60 women. There is a 1.98% chance of a Type I error. Interpret the level of significance in the context of the study. There is a 10% chance you will take so long to get out of bed in the morning that you will miss the deadline to complete this assignment. 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 42 men and 60 women are observed then there would be a 10% chance that we would end up falsely concluding that the population mean time for men to get out of bed in the morning is different than the population mean time for women to get out of bed in the morning There is a 10% chance that there is a difference in the population mean time for men and 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 42 men and 60 women are observed then there would be a 10% chance that we would end up falsely concluding that the sample mean time for these 42 men and 60 women to get out of bed in the morning differ from each other.

Answer 1