A hexagonal cell within a seven-cell system has a radius of 1.425 km. A total of 119 channels are used within the entire system. If the load per user is 0.028 Erlangs, and λ = 1 call/hour, compute the following for an Erlang C system (chart is attached) that has a 7% probability of delayed call: C) What is the probability that a call will be delayed for more than 9 sec?
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A hexagonal cell within a seven-cell system has a radius of 1.425 km. A total of 119 channels are used within the entire system. If the load per user is 0.028 Erlangs, and λ = 1 call/hour, compute the following for an Erlang C system (chart is attached) that has a 7% probability of delayed call:
C) What is the probability that a call will be delayed for more than 9 sec?
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- An article published by the American Meteorological Society, gives a rating system used to classify Nor'easter storms that frequently hit New England which often cause havoc near the ocean. A severe storm has an average peak wave height of μ=16.4μ feet for waves near the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land off piers. Suppose that a reading of 32 waves showed an average wave height of x¯=14.3 feet. Previous reports of severe storms indicate that σ=3.5 feet. Does this information suggest that the storm is decreasing below the severe rating? Use α=0.01 to test the claim.What is the level of significance? State the null and alternate hypotheses. H0:H0:? p σ μ χ Select an answer < = ≠ > H1:H1:? μ p χ σ Select an answer ≠ > = <A firm produces bolts whose length x is normally distributed with a Me = 78.3 mm and a SD = 1.4mm. If any bolt longer than 80mm has to be discarded, what proportion of the firm's production will be lost?Many young men in North America and Europe (but not in Asia) tend to think they need more muscle to be attractive. One study presented 200 young American men with 100 images of men with various levels of muscle. Researchers measure level of muscle in kilograms per square meter (kg/m2) of fat-free body mass. Typical young men have about 20 kg/m2. Each subject chose two images, one that represented his own level of body muscle and one that he thought represented "what 21 women prefer." The mean gap between self-image and "what women prefer" was 2.35 kg/m2. 99 Suppose that the "muscle gap" in the population of all young men has a Normal distribution with standard deviation 2.5 kg/m2. Give a 90% confidence interval for the mean amount of muscle young men think they should add to be attractive to women. (Enter your answers rounded to four decimal places.) lower limit 17.4125 kg/m2 upper limit = 17.8875 kg/m² Question Source: Moore, The Basic Practice Of Statistics, 8e Publisher: W.H. Free
- One operation of a mill is to cut pieces of steel into parts that will later be used as the frame for front seats in an automobile. The steel is cut with a diamond saw and requires the resulting parts to be within 10.005 inch of the length specified by the automobile company. Data are collected from a sample of 50 steel parts and are shown in the following table. The measurement reported is the difference in inches between the actual length of the steel part, as measured by a laser measurement device, and the specified length of the steel part. For example, the first value, -0.003, represents a steel part that is 0.003 inch shorter than the specified length. Complete parts a through c Click the icon to view the data table. a. Construct a frequency distribution Difference in Length -0.005 but less than -0.003: -0.003but less than -0.001 -0.001but less than 0.001 0.001but less than 0.003 0.003but less than 0.005 Frequency Difference Between Actual and Specified Lengths 0.002 0 -0.003…Many young men in North America and Europe (but not in Asia) tend to think they need more muscle to be attractive. One study presented 196 young American men with 100 images of men with various levels of muscle. Researchers measure level of muscle in kilograms per square meter (kg/m2) of fat-free body mass. Typical young men have about 20 kg/m2. Each subject chose two images, one that represented his own level of body muscle and one that he thought represented “what women prefer.” The mean gap between self image and “what women prefer” was 2.35 kg/m2. Suppose that the muscle gap in the population of all young men has a normal distribution with standard deviation 2.5 kg/m2. a) State the value that will be used to estimate the unknown population mean. b)What is the critical z value for a 95 percent confidence interval for the mean amount of muscle young men think they should add to be attractive to women. (Enter answer to 2 decimal places) c)Calculate the margin of error for a 95…An outbreak of the deadly Ebola virus in 2002 and 2003 killed 91 of the 95 gorillas in 7 home ranges in the Congo. To study the spread of the virus, measure " distance" by the number of home ranges separating a group of gorillas from the first group infected. Here are data on distance and number of days until deaths began in each later group: Distance xx 2 5 4 4 4 6 Days yy 4 21 29 40 47 49 Use a calculator or software to find the following values. (a) Find the mean and standard deviation of xx. MEAN: STANDARD DEVIATION: (b) Find the mean and standard deviation of yy. MEAN: STANDARD DEVIATION: (c) Find the correlation rr between xx and yy. r:
- A team of UMD students have invented an inhalable drug that they think will help people breathe better during hard exercise. They test the drug on 3 volunteers (A, B, and C) by measuring their levels of arterial oxygen before receiving the drug (their base level) and then after 5 and 10 minutes have elapsed, respectively. The results are listed in the table. Oxygen level [mmHg] A B C base level 847076 after 5 minutes 85 74 81 after 10 minutes 90 75 98 We want to see how the drug work (better or worse) when compared to the base level. Compute the 90% two-sided confidence intervals for the mean difference between the base level and after 5 minutes. X1b Xub X 1b -5.1783 Xub 11.8450 Compute the 90% two-sided confidence intervals for the mean difference between the base level and after 10 minutes. -1.94 ? Xx 0% 23.94 ? × 0% ? × 0% X 0%Weotherwise is a magazine published by the American Mctcorological Socicty. One issue gives a rating system used to classify Nor'easter storms that froquently hit New England and can cause much damage near the occan. A severe storm has an average peak wave height of g = 16.4 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) oft tixed cament plers. Suppose that a reading of 35 waves showed an zverage wave height of x- 17.3 foet. Pravlous studies of severe storms indilcate that o- 3.5 foet. Doas this information suggost that the storm is (perhaps tamporarily) Increasing above the severe rating? Usa a - 0.01. (a) What is the levcl of significance? .01 State the null and altarnate hypothesas. O Ho: H - 16.4 t; H 10.4 t; H: - 16.4 t O Ho: H 10.4 ft; H: - 10.4 ft O Ho: H - 10.1 ft; H:+ 10.1 t * Ho: H = 10.1 ft; H:> 16.1 ft (b) What sampling distrihutian will you…Imagine a soldier in a trench during an armed conflict. In the enemy camp, inside another trench, is an enemy soldier. This soldier can be one of two categories: regular soldiers or snippers. Only 0.1% of enemy soldiers are known to be snippers. The soldier raises his head to out of the trench and a shot hits his helmet. Considering the distance between individuals, a regular soldier would hit that shot 18% of the time while a snipper would hit 87%. Given that the enemy soldier hit the helmet, what is the probability that the enemy soldier is a snipper? (choose only one) a) 0.091 b) 0.0048 c) 0.046 d)0.17 e) 0.13
- Many young men in North America and Europe (but not in Asia) tend to think they need more muscle to be attractive. One study presented 200 young American men with 100 images of men with various levels of muscle. Researchers measure level of muscle in kilograms of fat‑free body mass per square meter of body surface area (kg/m2). Typical young men have about 20 kg/m2.. Each subject chose two images, one that represented his own level of body muscle and one that he thought represented "what women prefer." The mean gap between self‑image and "what women prefer" was 2.35 kg/m2.. Suppose that the "muscle gap" in the population of all young men has a Normal distribution with standard deviation 2.5 kg/m2.. If young men thought that their own level of muscle was about what women prefer, the mean "muscle gap" in the study would be 0. We suspect (before seeing the data) that (most) young men tend to think women prefer more muscle than they themselves have. What is the value of the test…A study conducted at the University of Denver investigated whether babies take longer to learn to crawl in cold months, when they are often bundled in clothes that restrict their movement, than in warmer months. Infants born during the study year were split into twelve groups, one for each birth month. We consider the average crawling age of babies in each group against the average temperature when the babies are six months old (that's when babies often begin trying to crawl). Temperature is measured in degrees Fahrenheit and age is measured in weeks. 34 33 32 31 30- 29 30 40 50 60 70 Temperature (F) a) Describe the relationship between temperature and crawling age. Choose all answers that apply. There is strong, negative, linear relationship between termperature and crawling age nThere is a somewhat moderate, negative, linear relationship between temperature and crawling age nThere is a moderate, positive, linear relationship between the temperature and crawling age The point at the…A manufacturer claims that a model of electric scooter has a battery charging time of 150 minutes (i.e. 2.5 hours). In order to test this claim, 22 electric scooters of that model were charged from empty to full battery. The length of time for each scooter to charge fully was recorded in minutes. The results are summarised in Table 2. Table 2 Summary statistics for the battery charging time (in minutes) of a model of electric scooter Sample size Mean Standard deviation 22 161 29 (a) What is the most appropriate version of the t-test if you want to test the null hypothesis that the underlying population mean battery charging time for this model of scooter is what the manufacturer claims it to be, and the alternative hypothesis is that the underlying population mean battery charging time is not what the manufacturer claims it to be? Justify your choice. (b) What are the number of degrees of freedom and the 5% critical value for the most appropriate t-test applied to these data? (c) Hence…
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