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- Delta International delivers approximately one million packages a day between East Asia and the United States. A random sample of the daily number of package delivery failures over the past six months provided the following results: 15, 10, 8, 16, 12, 11, 9, 8, 12, 9, 10, 8, 7, 16, 14, 12, 10, 9, 8, 11. There was nothing unusual about the operations during these days and, thus, the results can be considered typical. Using these data and your understanding of the delivery process answer the following:a. What probability model should be used and why?b. What is the probability of 10 or more failed deliveries on a typical future day?c. What is the probability of less than 6 failed deliveries?d. Find the number of failures such that the probability of exceeding this number is 10% or less.Discuss the difference between a completely randomized design and a randomized block design.A Chicago-based firm has documents that must be quickly distributed to district offices throughout the U.S. The firm must de- cide between two delivery services, UPX (United Parcel Express) and INTEX (International Express), to transport its documents. In testing the delivery times of the two services, the firm sent two reports to a random sample of its district offices with one report carried by UPX and the other report carried by INTEX. Do the data on the next slide indicate a difference in mean delivery times for the two services? Use a .05 level of significance. [Hint: Perform a hypothesis test for difference for matched/paired samples, D = X1 − X2] (d) Find the critical values. (e) Rejection region and conclusion. (f) Interpret the results.
- A banana grower has three fertilizers from which to choose. He would like to determine which fertilizer produces banana trees with the largest yield (measured in pounds of bananas produced). The banana grower has noticed that there is a difference in the average yields of the banana trees depending on which side of the farm they are planted (South Side, North Side, West Side, or East Side), therefore, a randomized block design is used in the study. Because of the variation in yields among the areas on the farm, the farmer has decided to randomly select three trees within each area and then randomly assign the fertilizers to the trees. After harvesting the bananas, he calculates the yields of the trees within each of the areas. Can the banana grower conclude that there is a significant difference among the average yields of the banana trees for the three fertilizers? The results are as follows. Average Yield of Banana Trees Side of Farm Fertilizer A Fertilizer B Fertilizer C…We often see players on the sidelines of a football game inhaling oxygen. Their coaches think this will speed their recovery. We might measure recovery from intense exertion as follows: Have a football player run 100 yards three times in quick succession. Then allow three minutes to rest before running 100 yards again. Time the final run. Two experiments to investigate the effect of inhaling oxygen during the rest period can be implemented. One of the experiments is to be a completely randomized design and the other is a matched pairs design in which each subject serves as his or her own control. Suppose you have twenty football players available as subjects. For both experiments, carry out the randomization of the twenty football players to treatments as required by the design. Use Table A to carry out the randomization in both a completely randomized comparative design and a matched pairs design. Starting at line 142, determine IDs for 10 football players from the first group.…The FAA is interested in knowing if there is a difference in the average number of on-time arrivals for four of the major airlines. The FAA believes that the number of on-time arrivals varies by airport, therefore, a randomized block design is used for the study. To control for this variation, they randomly select 100100 flights for each of the major airlines at each of four randomly selected airports and record the number of on-time flights. Can the FAA conclude that there is a significant difference among the average number of on-time arrivals for the four major airlines? The results of the study are as follows. Average Number of On-Time Arrivals Airport Airline A Airline B Airline C Airline D Airport A 9090 8282 8080 8383 Airport B 8282 7070 7474 7979 Airport C 8787 8484 7676 8888 Airport D 9090 7979 7979 9090 Copy DataANOVA Source of Variation SSSS dfdf MSMS Rows 181.6875181.6875 33 60.562560.5625 Columns 278.6875278.6875 33 92.895892.8958 Error…
- cdn.student.une.exam.us.netdban3D18sessi.. E STAT-101_FEX_2021_2_ Male Choose the correct answer for the following question: A company claim that the proportion of workers those are satisfied with their jobs is more than 0.70. If, in randomly selected sample of 120 worken, 96 saying that they are satisfied with their jobs. The sample 27 - 30 62do -> a0.70, 0.96 b 0.70, 0.80 ce362do C 0.80,0.70 d. 0.96, 0.70 ce362dch017 ce362dcf9 ce3628c7s ce362dcf917 MacBook Pro ce362dcf917 ce362def9 00 O0A study was conducted at the local skate park to determine how caffeine affected the performance of skateboarders during competitions. 100 skateboarders were selected from an upcoming competition roster. The researchers chose a random entry then proceeded to select every 4th entry until the desired sample size was reached.On the day of the competition, the sample was split (at random) into two groups. Each member of Group "A" was given a cup of decaf coffee while each member of Group "B" was given a cup of coffee containing 100mg of caffeine. (The skateboarders did not know which type of coffee they received.) As the competition progressed, the scores for each skateboarder were tracked.Suppose your research is about the female entrepreneurs in the Northern region of Pakistan (Hunza) and have to collect data from small number of female entrepreneurs. Answer the following two questions about this scenario: You only have the information of one female entrepreneur. What would be your sampling technique, sample size and why? What will be your data collection technique in this situation and why?
- A company's quality engineer wants to check whether the average weight of the products coming out of the packaging line does not exceed 10 grams. For this, he measured the weights of the products coming out of the line by making random selection. Measurement values respectively; 8, 11,9,11,9,7,11,10,10,9. After a while ; A press machine with a newer technology has been replaced by a press machine where product losses are frequently experienced in the packaging line. and products with the same features were weighed after being processed in this new pressing machine. After the new pressing machine, the weights of the products were measured as follows; 8,8,13,17,8,12,16,14,13,15. a) Test whether the average weight of the products currently exceeds 10 grams or not, at a = 0.05 significance level, by writing the relevant hypotheses and applying all necessary steps to make a decision. Write down the decision you made as a result of the hypothesis test and interpret your decision. b)The…A sporting goods manufacturing company wanted to compare the distance traveled by golf balls produced using four different designs. Nine balls were manufactured with each design and were brought to the local golf course for the club professional to test. The order in which the balls were hit with the same club was randomized to the pro did not know which type of ball was being hit. All 36 balls were hit (assuming the environmental conditions played no role). The resulting distances in yards were recorded and are shown in the following table: Design 1 Design 2 Design 3 Design 4 206.32 217.08 226.77 230.55 207.94 221.43 224.79 227.95 206.19 218.04 229.75 231.84 204.45 224.13 228.51 224.87 209.65 211.82 221.44 229.49 203.81 213.90 223.85 231.10 206.75 221.28 223.97 221.53 205.68 229.43 234.30 235.45 204.49 213.54 219.50 228.35 Write a set of hypotheses to test the mean…A doctor wants to test if a patient should be diagnosed with diabetes based on their blood results and if their gender plays a role in the situation. There is a total of 22 patients, 11 of them being women and 11 men, but there are only enough diabetes blood tests for 10 patients. For this randomized block design, we can randomly choose 5 men and 5 women to receive testing and the other 6 men and 6 women will receive a placebo and in this case the placebo would be a different form of diabetes testing such as a glucose monitoring system. Toward the end, you can collect blood glucose levels from both groups and determine which one seems to be more accurate. The mean for the data set would be 135.87 and the standard deviation would be 4.71. How is randomization used in the sampling or assignment strategy? Remember to discuss how you would randomize for sampling and assignment, what type of randomization is being used? What is the type of inferential test utilized in the experiment.…