he depth to which a pile can be driven without hitting the rock stratum is denoted as H (see figure below). For a certain construction site, suppose that this depth has a log-normal distribution with mean of 30 ft and coefficient of variation of 20%. In order to provide satisfactory support, a pile should be embedded 1 ft into the rock stratum. What is the probability that a pile of length 40 ft will not anchor satisfactorily into the rock?
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The depth to which a pile can be driven without hitting the rock stratum is denoted as H (see
figure below). For a certain construction site, suppose that this depth has a log-
distribution
satisfactory support, a pile should be embedded 1 ft into the rock stratum. What is the
probability that a pile of length 40 ft will not anchor satisfactorily into the rock?
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- As the population ages, there is increasing concern about accident-related injuries to the elderly. An article reported on an experiment in which the maximum lean angle—the farthest a subject is able to lean and still recover in one step—was determined for both a sample of younger females (21–29 years) and a sample of older females (67–81 years). The following observations are consistent with summary data given in the article: YF: 28, 34, 32, 27, 28, 32, 31, 35, 32, 28 OF: 19, 14, 21, 13, 12 Does the data suggest that true average maximum lean angle for older females (OF) is more than 10 degrees smaller than it is for younger females (YF)? State and test the relevant hypotheses at significance level 0.10. (Use ?1 for younger females and ?2 for older females.) H0: ?1 − ?2 = 10Ha: ?1 − ?2 > 10H0: ?1 − ?2 = 10Ha: ?1 − ?2 < 10 H0: ?1 − ?2 = 0Ha: ?1 − ?2 > 0H0: ?1 − ?2 = 0Ha: ?1 − ?2 < 0 Calculate the test statistic and determine the P-value. (Round your test…To illustrate the effects of driving under the influence (DUI) of alcohol, a police officer brought a DUI simulator to a local high school. Student reaction time in an emergency was measured with unimpaired vision and also while wearing a pair of special goggles to simulate the effects of alcohol on vision. For a random sample of nine teenagers, the time (in seconds) required to bring the vehicle to a stop from a speed of 60 miles per hour was recorded. Complete parts (a) and (b). Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Click the icon to view the data table. (a) Whether the student had unimpaired vision or wore goggles first was randomly selected. Why is this a good idea in designing the experiment? A. This is a good idea in designing the experiment because it controls for any "learning" that may occur in using the simulator. B. This is a good idea in designing the experiment because…Table 4 above is displaying odds ratios for each predictor estimated by a multivariablelogistic regression model with all 6 predictors included at the same time. Based onthis model, what is the minimum number of in-hospital deaths they should have intheir dataset? A) 30 B) 50 C) 60 D) 70
- At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. Wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. The cyclic nature of wind and moving sand determines the shape and location of large dunes. At a test site, the prevailing direction of the wind did not change noticeably. However, the velocity did change. Sixty-three wind speed readings gave an average velocity of x = 1075 cm/sec. Based on long-term experience, ? can be assumed to be 255 cm/sec.At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. Wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. The cyclic nature of wind and moving sand determines the shape and location of large dunes. At a test site, the prevailing direction of the wind did not change noticeably. However, the velocity did change. Sixty-five wind speed readings gave an average velocity of x = 1075 cm/sec. Based on long-term experience, ? can be assumed to be 255 cm/sec. (a) Find a 95% confidence interval for the population mean wind speed at this site. (Round your answers to the nearest whole number.) lower limit ______cm/sec upper limit _____cm/secQuestion 1 {0 decimal places } Find the value of the sample mean.
- As the population ages, there is increasing concern about accident-related injuries to the elderly. An article reported on an experiment in which the maximum lean angle-the farthest a subject is able to lean and still recover in one step-was determined for both a sample of younger females (21-29 years) and a sample of older females (67-81 years). The following observations are consistent with summary data given in the article: YF: 28, 35, 33, 27, 28, 32, 31, 35, 32, 25 OF: 17, 15, 21, 13, 12Please review Section 11.1. Are you an impulse shopper? A survey of 800 grocery shoppers indicated that 36% of males and 42% of females make an impulse purchase every time they shop. Assume that the survey consisted of 400 males and 400 females. Let group 1 be the males and let group 2 be the females. a = 0.01 H, :T, = R, H :, # R, Calculate the test statistic: (Round to three decimal places as needed.) Determine the critical value: (Round to three decimal places as needed.) State the Conclusion: Please review Section 12.2. An agent for a residential real estate company in a suburb located outside a major city has the business objective of developing more accurate estimates of the monthly rental cost for apartments. Toward the goal, the agent would like to use the size of an apartment, as defined by square footage to predict the monthly rental cost. The agent selects a sample of 8 one-bedroom apartments and the data are shown. Size (Square Feet) Monthly Rent ($) 875 1550 850 1350 950…There is a 3 percent error rate at a specii c point in a production process. If an inspector isplaced at this point, all the errors can be detected and eliminated. However, the inspectoris paid $8 per hour and can inspect units in the process at the rate of 30 per hour.If no inspector is used and defects are allowed to pass this point, there is a cost of $10per unit to correct the defect later on.Should an inspector be hired?
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