HW9: Problem 7 Previous Problem Problem List Next Problem (1 point) Golf-course designers have become concerned that old courses are becoming obsolete since new technology has given golfers the ability to hit the ball so far. Designers, therefore, have proposed that new golf courses need to be built expecting that the average golfer can hit the ball more than 255 yards on average. Suppose a random sample of 103 golfers be chosen so that their mean driving distance is 257.6 yards, with a standard deviation of 45.7. Conduct a hypothesis test where Ho : µ = 255 and H : µ > 255 by computing the following: (a) test statistic (b) p-value p = (c) If this was a two-tailed test, then the p-value is
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- A fleet repair facility has the capacity to repair 800 trucks per month. However, due toscheduled maintenance of their equipment, management feels that they can repair nomore than 600 trucks per month. Last month, two of the employees were absent severaldays each, and only 400 trucks were repaired.a. Calculate the utilization of the repair shop.b. Calculate the efficiency of the repair shop.c. Discuss the utilization and efficiency of this repair facility. What can be done toimprove the operations at the facilityA production process produces and packages soap in boxes weighing 140 grams. Owing to inspection carried out by several large municipalities, the penalty for placing, on the average, less than 140 grams in a box can be severe. Likewise it would also be wasteful for the company if they place, on the average, more than 140 grams in a box. Hence, the machine was adjusted to put 140 grams of soap in a box. After a year, the company wants to check if there is a need to readjust the machine. The company wishes to perform a test of hypothesis at 0.01 level of significance using the following data collected from a random sample: (photo attached). • State Ho and Ha.• Write the formula of the test statistic to be used.• State the decision rule at 0.01 level of significance.• Compute for the value of the test statistic.• Is there sufficient evidence at 0.01 level of significance for the company to conclude that mean weight of soap packaged in a box is not anymore 140 grams so that there is a need…An oil explorer must decide whether to drill on a site before her option expires or to abandon her rights to the site. Drilling a well costs $100,000. If oil is struck, the explorer will sell and make a $500,000 profit. The explorer can hire a geologist to take a seismic sounding of the site at the cost of $10,000. Such soundings reveal, with certainty, whether the geophysical substructure of the land is of type A, type B or Type C, where each type has a different degree of favorability for the existence of oil. From experience, the probability that a certain substructure will occur, given that oil exists, is P(type A|oil) = 14/28 P(type B|oil) = 9/28 P(type C|oil) = 5/28. Further, the following probabilities for substructures at this site are P(type A) = 0.20 P(type B) = 0.30 P(type C) = 0.50 given that P(oil) = 0.28. Perform a decision tree analysis. Determine the EVPI and EVE.
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- Q) Create a conceptual model and also develop null and alternate hypotheses of the following. The labor force heterogeneity enhances more to organizational effectiveness because each group brings its own special expertise and skills to the workplace. Collaboration can be leveraged, however, only if managers know how to tackle the special talents of the different working group; otherwise, they will remain unexploited.The Chiemsee Knee Replacement Clinic (CKRC) is a sports clinic located at the northern edge of the German Alps. It specializes in knee replacements for skiers who come to CKRC from Germany, Austria, Switzerland, and Italy. The clinic currently has one operating room (OR). However, since the clinic has dramatically more demand than capacity, the management team contemplates investing in a second OR. A lean consulting firm, however, suggests that before going ahead with installing new capacity, the clinic should first look at how it uses its existing capacity. The data collected by the consulting firm reveal that:• The OR is available for 12 hours a day; the hospital has decided to not perform any procedures between 7pm and 7am. This time is equally divided across three surgeons.• The standard procedure time for the knee surgery done at the clinic is 1h.• The cleaning and housekeeping that needs to happen after each procedure takes 20 minutes. Almost all of this time could be saved if…Approaching the month of Ramadan, PT Prima Sehat predicts that there will be an increase in demand for fresh meat. For this reason, the company seeks to optimize this moment for increasing company profits. One of the efforts made is to maximize income from the livestock sector by calculating the optimization of animal food. The raw material for animal feed used today is suspects and kala, at a price of Rp. 20 and Rp. 30 per kg.Each animal feed must contain alpha elements not less than 30 units and gamma 120 units, and beta elements at most 280 units. The composition of feed consisting of suspects and kala is at most 8 to 1. From the information received, it is known that the composition per kg of suspect consists of 6 alpha units, 20 units of Beta and 10 units of gamma. Whereas per kg of Kala contains 3 units of alpha composition, 40 units of Beta and 40 units of Gama. The company only provides Sangka as much as 8 kg per process Please use the linear graph method program to solve the…