The average final exam score for the statistics course is 78%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 14 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 54, 82, 82, 75, 64, 56, 90, 90, 89, 59, 64, 54, 76, 52 What can be concluded at the the a = 0.10 level of significance level of significance? a. For this study. we should use b. The null and alternative hypotheses would be: He: 37v[:] H 31:] c. The test statistic = [:] (please show your answer to 3 decimal places.) d. The p-value = C] (Please show your answer to 4 decimal places.) e. The p-value is a f. Based on this, we should the null hypothesis. g. Thus, the final conclusion is that O The data suggest the population mean is not significantly different from 78 at a = 0.10, so there is statistically insignificant evidence to conclude that the population mean final exam score for students who are given colored pens at the beginning of class is equal to 78. O The data suggest the populaton mean is significantly different from 78 at a = 0.10, so there is statistically significant evidence to conclude that the population mean final exam score for students who are given colored pens at the beginning of class is different from 78. O The data suggest that the population mean final exam score for students who are given colored pens at the beginning of class is not significantly different from 78 at a = 0.10, so there is statistically insignificant evidence to conclude that the population mean final exam score for students who are given colored pens at the beginning of class is different from 78. The average American consumes 82 liters of alcohol per year. Does the average college student consume a different amount of alcohol per year? A researcher surveyed 15 randomly selected college students and found that they averaged 77.4 liters of alcohol consumed per year with a standard deviation of 16 liters. What can be concluded at the a = 0.01 level of significance? 3. For this study, we should use Select an answer v b. The null and alternative hypotheses would be: H: 31:] H :1?V[:] c. The test statistic = I:] (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 a f. Based on this, we should the null hypothesis. g. Thus, the final conclusion is that O The data suggest the populaton mean is significantly different from 82 at a = 0.01 , so there is statistically significant evidence to conclude that the population mean amount of alcohol consumed by college students is different from 82 liters per year. 0 The data suggest that the population mean amount of alcohol consumed by college students is not significantly different from 82 liters per year at a = 0.01, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students is different from 82 liters per year. 0 The data suggest the population mean is not significantly different from 82 at a = 0.01, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students is equal to 82 liters per year. The average amount of time it takes for couples to further communicate with each other after their first date has ended is 2.48 days. Is this average different for blind dates? A researcher interviewed 46 couples who had recently been on blind dates and found that they averaged 2.3 days to communicate with each other after the date was over. Their standard deviation was 0.918 days. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer v b. The null and alternative hypotheses would be: H0: 3D H :1?V[:] c. The test statistic = C] (please show your answer to 3 decimal places.) d. The p-value = C] (Please show your answer to 4 decimal places.) e. The p-value is a f. Based on this, we should the null hypothesis. g. Thus, the final conclusion is that O The data suggest that the population mean is not significantly different from 2.48 at a = 0.01, so there is statistically insignificant evidence to conclude that the population mean time for couples who have been on a blind date to communicate with each other after the date is over is different from 2.48. O The data suggest the population mean is not significantly different from 2.48 at a = 0.01, so there is statistically significant evidence to conclude that the population mean time for couples who have been on a blind date to communicate with each other after the date is over is equal to 2.48. O The data suggest the populaton mean is significantly different from 2.48 at a = 0.01, so there is statistically significant evidence to conclude that the population mean time for couples who have been on a blind date to communicate with each other after the date is over is different from 2.48