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To graph Problems 59-62, use a graphing calculator and refer to the normal
Graph equation (1) with
(A)
(B)
Graph both in the same viewing window with
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- Respiratory 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_forwardThe daily exchange rate of one dollar in euros during the first three months of 2007 can be inferred to have the following distribution.3 x P(x) 0.73 0.05 0.74 0.10 0.75 0.25 0.76 0.40 0.77 0.15 0.78 0.05 For problem 3–10, find the mean and the standard deviation of the dollar to euros exchange rate.arrow_forwardA sample of n = 15 scores ranges from a high of X = 11 to a low of X = 3. If these scores are placed in a frequency distribution table, how many X values will be listed in the first column?arrow_forward
- Problem 4 , | The daily revenue of an online retailer has mean 20 and variance 400. (i) Find the lowest possible upper bound on the probability that the daily revenue exceeds 80. (ii) Suppose the retailer is confident the daily revenue follows an exponential distribution. Can you now make your answer to (i) more precise? If yes, provide it.arrow_forwardProblem#3: The number of messages sent per hour over a computer network has the following distribution: x = number of messages 10 11 12 13 14 15 f(x) 0.08 0.15 0.30 0.20 0.20 0.07 Determine the mean and standard deviation of the number of messages sent per hour.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_forward
- Suppose 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_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_forwardChapter 07, Section 7.3, Problem 023 The delivery times for all food orders at a fast-food restaurant during the lunch hour are normally distributed with a mean of 12.7 minutes and a standard deviation of 4.1 minutes. Let x be the mean delivery time for a random sample of 15 orders at this restaurant. Calculate the mean and standard deviation of x. Round your answers to two decimal places. Mean of x == minutes Standard deviation of x = minutesarrow_forward
- Suppose 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_forwardProblem 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_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,