The average final exam score for the statistics course is 75. 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 lower. The final exam scores for the 11 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 63, 62, 55, 73, 81, 83, 57, 57, 49, 51, 55 What can be conduded at the the or = 0.10 level of significance level of significance? a. For this study, we should use | Select an answer b. The alternative hypothesis would be: H1: ? w Select an answer v c. The test statistic ? v = (please show your answer to 3 decimal places.) d. Based on this, we should Select an answer v | the null hypothesis.On average, a banana will last 6.8 days from the time it is purchased in the store to the time it is too rotten to eat. Is the mean time to spoil less if the banana is hung from the ceiling? The data show results of an experiment with 16 bananas that are hung from the ceiling. Assume that that distribution of the population is normal. 6.8, 7.4, 6.5, 5.4, 5.3, 6, 6.1, 7.7, 5.8, 7.5, 4.9, 8, 4.4, 7.8, 6.7, 5.4 What can be concluded at the the o = 0.01 level of significance level of significance? a. For this study, we should use | Select an answer b. The alternative hypothesis would be: H1: ? w Select an answer v c. The test statistic ? v (please show your answer to 3 decimal places.) d. Based on this, we should Select an answer v | the null hypothesis. e. Thus, the final conclusion is that ... Select an answerThe average fruit fly will lay 407 eggs into rotting fruit. A biologist wants to see if the average will be lower for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 402, 418, 378, 409, 410, 413, 416, 408, 402, 411, 391, 418, 381 What can be conduded at the the o = 0.10 level of significance level of significance? a. For this study, we should use | Select an answer b. The alternative hypothesis would be: H1: ? ~ Select an answer v c. The test statistic ? v (please show your answer to 3 decimal places.) d. Based on this, we should Select an answer v | the null hypothesis. e. Thus, the final conclusion is that ... Select an answerThe commercial for the new Meat Man Barbecue claims that it takes 13 minutes for assembly. A consumer advocate thinks that the assembly time is lower than 13 minutes. The advocate surveyed 14 randomly selected people who purchased the Meat Man Barbecue and found that their average time was 12.6 minutes. The standard deviation for this survey group was 2.1 minutes. What can be concluded at the the a = 0.10 level of significance level of significance? a. For this study, we should use | Select an answer c. The test statistic ? v ) = (please show your answer to 3 decimal places.) d. Based on this, we should Select an answer v | the null hypothesis. Hint: Helpful Videos: Calculations ) [+] Setup ) [+] Interpretations ) [+] HelpThe manufacturer claims that your new car gets 25 mpg on the highway. You suspect that the mpg is less for your car. The 50 trips on the highway that you took averaged 22.7 mpg and the standard deviation for these 50 trips was 7.2 mpg. What can be concluded at the o = 0.01 level of significance? a. For this study, we should use Select an answer b. The test statistic ? v = (please show your answer to 3 decimal places.) c. Based on this, we should Select an answer v| the null hypothesis. d. Thus, the final conclusion is that ... O The data suggest that the populaton mean is significantly less than 25 at @ = 0.01, so there is statistically significant evidence to conclude that the population mean mpg for your car on the highway is less than 25. O The data suggest that the sample mean is not significantly less than 25 at o = 0.01, so there is statistically insignificant evidence to condude that the sample mean mpg for your car on the highway is less than 22.7. O The data suggest that the population mean is not significantly less than 25 at o = 0.01, so there is statistically insignificant evidence to condude that the population mean mpg for your car on the highway is less than 25. e. Interpret the level of significance in the context of the study. O If the population mean mpg for your car on the highway is 25 and if you take another 50 trips on the highway, then there would be a 1% chance that we would end up falsely concluding that the population mean mpg for your car on the highway is less than 25. If the population population mean mpg for your car on the highway is less than 25 and if you take another 50 trips on the highway, then there would be a 1% chance that we would end up falsely concluding that the population mean mpg for your car on the highway is equal to 25. O There is a 1% chance that the population mean mpg for your car on the highway is less than 25. O There is a 1% chance that you own an electric powered car, so none of this matters to you anyway. Hint: Helpful Videos: Calculations ) [+] Setup ) [+] Interpretations ) [+] HelpBefore the furniture store began its ad campaign, it averaged 227 customers per day. The manager is investigating if the average is smaller since the ad came out. The data for the 13 randomly selected days since the ad campaign began is shown below: 202, 233, 219, 224, 233, 199, 207, 235, 218, 198, 241, 242, 196 Assuming that the distribution is normal, what can be conduded at the or = 0.10 level of significance? a. For this study, we should use Select an answer b. The test statistic ? v = (please show your answer to 3 decimal places.) c. Based on this, we should Select an answer v| the null hypothesis. d. Thus, the final condusion is that ... Select an answer e. Interpret the level of significance in the context of the study. Select an answer19% of all college students volunteer their time. Is the percentage of college students who are volunteers larger for students receiving financial aid? Of the 333 randomly selected students who receive financial aid, 83 of them volunteered their time. What can be concluded at the or = 0.01 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 (please enter a decimal) H1: ? 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 a f. Based on this, we should | Select an answer v | the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly higher than 19% at o = 0.01, so there is insufficient evidence to condude that the percentage of financial aid recipients who volunteer is higher than 19%. O The data suggest the population proportion is not significantly higher than 19% at a = 0.01, so there is sufficient evidence to condude that the percentage of financial aid recipients who volunteer is equal to 19%. O The data suggest the populaton proportion is significantly higher than 19% at or = 0.01, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is higher than 19%.The highway mileage (mpg) for a sample of 11 different models of a car company can be found below. 50 28 21 34 44 22 23 24 41 1 39 22 Find the mode: Find the range: Estimate the standard deviation using the range rule of thumb