3 V X J Paused Do men take less time than women to get out of bed in the morning? The 56 men observed averaged 4. 1 minutes to get out of bed after the alarm rang. Their standard deviation was 2.7. The 43 women observed averaged 5 minutes and their standard deviation was 3 minutes. What can be concluded at the a = 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer v Select an answer v (please enter a decimal) H1: Select an answer |Select an answer v Select an answer v (Please enter a decimal) c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v o f. Based on this, we should Select an answer v | the null hypothesis. g. Thus, the final conclusion is that ... The results are statistically insignificant at or = 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 less than the population mean time for women to get out of bed in the morning. O The results are statistically significant at o = 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 less than the population mean time for women to get out of bed in the morning. The results are statistically significant at o = 0.10, so there is sufficient evidence to conclude that the mean time to get out of bed in the morning for the 56 men that were observed is less than the mean time for the 43 women that were observed. O The results are statistically insignificant at o = 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. h. Interpret the p-value in the context of the study. If the sample mean time to get out of bed for the 43 men is the same as the sample mean time to get out of bed for the 43 women and if another 56 men and 43 women are observed then there would be a 6.31% chance of concluding that the mean time to get out of bed for the 56 men is at least 0.9 minutes less than the mean time to get out of bed for the 43 women O 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 56 men and 43 women are observed then there would be a 6.31% chance that the mean time to get out of bed for the 56 men would be at least 0.9 minutes less than the mean time to get out of bed for the 43 women. O There is a 6.31% chance that the mean time to get out of bed for the 56 men is at least 0.9e. The p-value is ? v a X f. Based on this, we should Select an answer v | the null hypothesis. g. Thus, the final conclusion is that ... J Paused The results are statistically insignificant at o = 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 less than the population mean time for women to get out of bed in the morning. O The results are statistically significant at o = 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 less than the population mean time for women to get out of bed in the morning. The results are statistically significant at o = 0.10, so there is sufficient evidence to conclude that the mean time to get out of bed in the morning for the 56 men that were observed is less than the mean time for the 43 women that were observed. The results are statistically insignificant at o = 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. h. Interpret the p-value in the context of the study. If the sample mean time to get out of bed for the 43 men is the same as the sample mean time to get out of bed for the 43 women and if another 56 men and 43 women are observed then there would be a 6.31% chance of concluding that the mean time to get out of bed for the 56 men is at least 0.9 minutes less than the mean time to get out of bed for the 43 women 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 56 men and 43 women are observed then there would be a 6.31% chance that the mean time to get out of bed for the 56 men would be at least 0.9 minutes less than the mean time to get out of bed for the 43 women. O There is a 6.31% chance that the mean time to get out of bed for the 56 men is at least 0.9 minutes less than the mean time to get out of bed for the 43 women. O There is a 6.31% chance of a Type | error. i. 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 56 men and 43 women are observed then there would be a 10%% chance that we would end up falsely concluding that the sample mean time for these 56 men and 43 women to get out of bed in the morning differ from each other. O 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 56 men and 43 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 less than the population mean time for women to get out of bed in the morning O 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. 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