TRUEIFALSE Mark each statement as True or False. If you believe that the statement is FALSE, change it into a true statement. 1. (2) An alternate hypothesis is a statement about a population parameter that is rejectd when the null hypothesis is rejected. 2. - (2) If we do not reject the null hypothesis based on sample evidence, we have proven that. the null hypothesis is true. 3. (2) The level of significance is selected before setting up a decision rule and sampling the population. 4. (2) If the null hypothesis is 200 and the alternate hypothesis states that is less than 200 , then, a one-tail test is being conducted. The following are word problems. Please read the instructions carefully and answer only the specific questions asked. 5. Write the null and alternate hypotheses for the following situations: a. (2) We know that the pain killer Advil begins to work in about 20 minutes. Run a hypothesis test to show that Aleve is a less effective pain killer. (Please clearly identify your notations.) b. (2) The average test score on this exam last year was 85 points out of 100. Run a hypothesis test to show that students this semester are doing better. (Please clearly identify your notations.) 6. An order fuliliment center worker is required to assemble a buyer's order within a 7 minute time period after the order was placed. A sample of 20 orders placed shows an average response of 7.7 minutes with a standard deviation of 1.8248 minutes. Can we conclude that the fulfillment center workers are now slower at completing the orders? Test this hypothesis at a 1% significance level. (2) State the hypotheses: (6) Graphall the relevant inlomation from the problem (appropriate scales, critical value, alpha, rejection region, test statistic. p-value) (2) State the decision nule both by comparing the TS to the CV and by comparing the p-Value to alpha (2) Calculate the test statistic and estimate the corresponding p-value: (3) Justification and conclusion (1) Type of error your conclusion is subject to. 7. The following data was collected about the price of textbooks. Each book was priced both at a college bookstore and online. Based on this sample of data, at a 5% significance, is there any evidence to show that the textbooks purchased online are cheaper than the ones sold by the bookstore? On the next page you will find three Excel outputs. Select the only Excel output that is correct for this specilic problem (only one output refers to the correct t-test). Extract from the correct Excel output all the relevart information to complete a hypothesis test: tiTrat: Pared Twa Sample for Mewern thelawi EXCFL OUTPUT CONTEUED ON THE NEXT PACE (2) State the hypotheses: (6) Graph all the relevant information from the problem (appropriate scale, critical value(s), alpha, rejection region, test statistic, p-value) (2) State the decision rule both by comparing the TS to the CV and by comparing the p-value to alpha (3) Justification and conclusion (1) What type of etrot is your conclusion subject to? 8. The results of a math placement test at two dillerent college campuses are the following: a 5% significance level that the mean score is statistically significanty higher at Campus II. (2) State the hypotheses: (2) State the decision rule both by comparing the TS to the CV and by comparing the p-value to alpha (4) Calculate the lest statistic and estmate the corresponding -value