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- *Please work with your version, don't copy from other sources use table t in doing it 1. A testing engineer is stress testing an Application Programming Interface (API) made by his company on twenty servers from two different vendors. The maximum number of hits from each server from each vendor is as follows (in thousands):Server Vendor A: 42.1 ; 41.3 ; 42.4 ; 43.2 ; 41.8 ; 41.0 ; 41.8 ; 42.8 ; 42,3 ; 42.7Server Vendor B: 42.7 ; 43.8 ; 42.5 ; 43.1 ; 44.0 ; 43.6 ; 43.3 ; 43.5 ; 41.7 ; 44.1It is known that the two stress test data are normally distributed with the same variance.a. Compute the 99% two-sided confidence interval for the difference in the mean number of hits from the servers of the two vendors.b. Compute the 97.5% upper confidence interval (97.5% upper confidence interval) for the difference in the average number of hits from the servers of the two vendors.c. Compute a lower confidence interval of 90% for the difference in the average number of hits from the servers of the…The management at Massachusetts Savings Bank is always concerned about the quality ofservice provided to its customers. With the old computer system, a teller at this bank could serve,on average, 22 customers per hour. The management noticed that with this service rate, thewaiting time for customers was too long. Recently the management of the bank installed a newcomputer system, expecting that it would increase the service rate and consequently make thecustomers happier by reducing the waiting time. To check if the new computer system is moreefficient than the old system, the management of the bank took a random sample of 70 hours andfound that during these hours the mean number of customers served by tellers was 27 per hourwith a standard deviation of 2.5. Testing at the 1% significance level, would you conclude thatthe new computer system is more efficient than the old computer system?Check whether the data in this problem satisfy the Hawkins–Simoncondition.
- Percentages of public school students in fourth and eighth grades who were above the proficiency level were given for 8 western states 4th Grade Proficiency 8th Grade Proficiency Arizona 15 21 California 11 18 Hawaii 16 16 Montana 22 37 New Mexico 13 13 Oregon 21 32 Utah 23 26 Wyoming 19 25 Construct a scatterplot and comment on any interesting characteristics Find the least squares equation. If Nevada had a 4th grade proficiency of 14%, what would you expect the 8th grade proficiency to be?According to the Centers for Medicare & Medicaid Services, 21% of nursing homes in the United States received five stars in overall ratings on a scale of 1 to 5. A random sample of ten nursing homes was selected. Answer the following questions, performing all computations with Excel functions.In a classic study of infant attachment, Harlow (1959) placed infant monkeys in cages with two artificial surrogate mothers. One “mother” was made from bare wire mesh and contained a baby bottle from which the infants could feed. The other mother was made from soft terry cloth and did not provide any access to food. Harlow observed the infant monkeys and recorded how much time per day was spent with each mother. In atypical day, the infants spent a total of 18 hours clinging to one of the two mothers. If there were no preference between the two, you would expect the time to be divided evenly, with an average of μ=9 hours for each of the mothers. However, the typical monkey spent around 15 hours per day with the terry-cloth mother, indicating a strong preference for the soft, cuddly mother. Suppose a sample of n=9 infant monkeys averaged M=15.3 hours per day with SS=216 with the terry-cloth mother. Is this result sufficient to conclude that the monkeys spent significantly more time with…
- The Iowa Wolves are scheduled to play against the Maine Red Claws in an upcoming game in the National Basketball Association (NBA) G League. Because a player in the NBA G League is still developing his skills, the number of points he scores in a game can vary substantially. Develop a spreadsheet model that simulates the points scored by each team. Assume that each player's point production can be represented as an integer uniform variable with the ranges provided in the following table. (Use at least 1,000 trials.) Player Iowa Wolves Maine Red Claws 1 [5, 20] [6, 12] 2 [7, 20] [15, 20] 3 [5, 10] [10, 20] 4 [10, 40] [15, 30] 5 [5, 20] [6, 10] 6 [4, 10] [1, 20] 7 [2, 5] [1, 4] 8 [2, 4] [2, 4] (a) Consider the points scored by the Iowa Wolves team. (Round your answers to two decimal places.) What is the average of points scored? What is the standard deviation? What is the shape of the distribution? uniformbell-shaped skewed leftskewed right (b)…The UWI Open Campus has commissioned a study to determine how student will perform in ECON3080 based on the hours of studying each semester. Students are separated by gender and the results of the study are given below: Males Females Hours Studying ECON3080 Grade Hours Studying ECON3080 Grade 377 92 182 51 280 100 99 41 187 99 44 38 225 62 387 90 157 91 200 75 280 99 331 48 80 32 263 78 374 88 377 93 141 59 297 49 385 72 229 88 238 30 254 80 105 94 347 80 180 53 119 55 288 48 142 67 241 96 293 45 72 57 318 36 314 82 319 94 196 81 60 60 209 79 319 42 306 79 184 81 167 51 193 56 380 44 239 34 389 88 144 49 122 49 97 100 354 76 337 33 327 94 330 78 181 70 157 57 349 66 262 43 117 35…The Greer Tire company manufactures a new steel-belted radial tire to be sold through a national chain of discount stores. Because the tire is a new product, Greer’s managers believe that the mileage guarantee offered with the tire will be an important factor in the acceptance of the product. Let X = miles that the tires last: X~N(60,000 2,500) Find the mileage guarantee that ensures this company will repair no more than 15% of its product for free. Assume the distribution of tire mileage is normal.
- Southwestern Electronics has developed a new calculator that performs a series of functionsnot yet performed by any other calculator. The marketing department is planning todemonstrate this calculator to a group of potential customers, but it is worried about someinitial problems, which have resulted in 4 percent of the new calculators developingmathematical inconsistencies. The marketing VP is planning on randomly selecting a groupof calculators for this demonstration and is worried about the chances of selecting acalculator that could start malfunctioning. He believes that whether or not a calculatormalfunctions is a Bernoulli process, and he is convinced that the probability of a malfunctionis really about 0.04. Assuming that the VP selects exactly 50 calculators to use in thedemonstration, and using the Poisson distribution as an approximation of the binomial whatis the chance of getting at least two calculators malfunctioning?According to scientists, the cockroach has had 300 million years to develop a resistance to destruction. In a study conducted by researchers, 6 comma 0006,000 roaches (the expected number in a roach-infested house) were released in the test kitchen. One week later, the kitchen was fumigated and 18 comma 10718,107 dead roaches were counted, a gain of 12 comma 10712,107 roaches for the 1-week period. Assume that none of the original roaches died during the 1-week period and that the standard deviation of x, the number of roaches produced per roach in a 1-week period, is 1.61.6. Use the number of roaches produced by the sample of 6 comma 0006,000 roaches to find a 9595% confidence interval for the mean number of roaches produced per week for each roach in a typical roach-infested house. Find a 95% confidence interval for the mean number of roaches produced per week for each roach in a typical roach-infested house.Suppose a special type of small data processing firm is so specialized that some have difficulty making a profit in their first year of operation. what is the value of k?