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To graph Problems 59-62, use a graphing calculator and refer to the normal
Graph equation (1) with
(A)
(B)
(C)
Graph all three in the same viewing window with
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- What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?arrow_forwardRespiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.arrow_forwardSuppose ₁ and ₂ are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. The data follows: m = 9, x = 113.3, s₁=5.01, n = 9, y = 129.6, and s₂ = 5.34. Calculate a 95% CI for the difference between true average stopping distances for cars equipped with system 1 and cars equipped with system 2. (Round your answers to two decimal places.) USE SALT -21.57 1x ) Does the interval suggest that precise information about the value of this difference is available? Because the interval is so narrow, it appears that precise information is available. Because the interval is so narrow, it appears that precise information is not available. Because the interval is so wide, it appears that precise information is available. Because the interval is so wide, it appears that precise information is not available. x -11.06arrow_forward
- What percentage of all possible observations of the variable lie between 1/4 and 5/8arrow_forwardSuppose ₁ and ₂ are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. The data follows: m = 9, x = 113.5, s₁ = 5.08, n = 9, y = 129.7, and s₂ = 5.34. Calculate a 95% CI for the difference between true average stopping distances for cars equipped with system 1 and cars equipped with system 2. (Round your answers to two decimal places.) USE SALTarrow_forwardSuppose ₁ and ₂ are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. The data follows: m = 9, x = 113.5, s₁=5.08, n = 9, y = 129.7, and s₂ = 5.34. Calculate a 95% CI for the difference between true average stopping distances for cars equipped with system 1 and cars equipped with system 2. (Round your answers to two decimal places.) USE SALT -22.73 X -10.12 1x )arrow_forward
- Problem 1: A sample of 100 bulbs of brand A gave a mean lifetime of 1200 has with a S.D. of 70hrs, while another sample of 120 bulbs of brand B gave a mean lifetime of 1150 has with a S.D. of 85hrs. Can we calculate that brand A bulbs are superior to brand B bulbs?arrow_forwardSuppose the relationship between Y and X is given by: Y = 25 - 3X + error By how much does the expected value of Y change if X decreases by 1 unit?arrow_forwardThe following data are annual 15-min peak rainfall intensities I (in./hr) for 9 years of record. Compute and plot the log,,-normal frequency curve and the data. Use the Weibull plotting position formula. Using both the curve and the mathematical equation estimate (a) the 25-yr, 15-min peak rainfall intensity; (b) the return period for an intensity of 7 in./hr; (c) the probability that the annual maximum 15-min rainfall intensity will be between 4 and 6 in./hr.arrow_forward
- Question 4. The distribution of yield strength of steel bars in batch A is normal with mean 40,000 psi and the coefficient of variation 10% while the yield strength of steel bars in batch B has a lognormal distribution with the same mean and the same of coefficient of variations as those of batch A. If it is specified that the bars with the yield strength less than 30,000 psi are considered defective and cannot be used for construction, which has higher probability to be defective, a bar from batch A or B?arrow_forwardWe analyze a data set with Y = stopping distance of a car and X = speed of the car when the brakes were applied, %3D and after running the data in STATISTICA, we obtain the following results. Std.Err. of b Std.Err. of b* t(61) p-value b* N=63 Intercept Speed -20.2734 3.1366 -6.26038 20.67978 0.000000 0.000000 3.238368 0.935504 0.045238 0.151674 Sums of df Mean p-value Squares Squares 59540.15 Effect 59540.15 427.6534 0.000000 Regress. Residual 1 8492.74 61 139.23 Total 68032.89 Speed X StopDist Y Speed squared StopDist squared Speed StopDist 65853 Total 1195 2471 28719 164951 One of the observations is (X = 39, Y = 138). The value of the internal studentized residual is . (final answer to 2 decimal places e.g. 2.12) Hence, the point (39, 138) an outlier. (choose from is or is not)arrow_forward7 Consider Figure 29.21. The two tail-ends have equal area. How many standard deviations from the mean must A and B be placed if the tail-ends are (a) 10% (b) 5% (©) 1% of the total area? N(x) A B * Figure 29.21 Graph for Question 7.arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,