A shipping company handles containers in three different sizes: (1) 27 ft³ (3 × 3 × 3), (2) 125 ft³, and (3) 512 ft³. Let X; (i = 1, 2, 3) denote the number of type i containers shipped during a givenweek. With µ; = E(X;) and σ, 2² = V(X;), suppose that the mean values and standard deviations are as follows:= 230M1°₁ = 11M2 = 260 Из = 15002=13703(a) Assuming that X1, X2, X3 are independent, calculate the expected value and variance of the total volume shipped. [Hint: Volumeexpected valuevarianceft³ft6=27X1 + 125X2 + 512X3.](b) Would your calculations necessarily be correct if the X,'s were not independent? Explain.○ The expected value would be correct, but the variance would not be correct.Neither the expected value nor the variance would be correct.Both the expected value and the variance would be correct.The expected value would not be correct, but the variance would be correct.

Step 1:Solution:Given thatμ1 = 230, μ2 = 260, μ3 = 150 σ1 = 11, σ2 = 13, σ3 = 7 Part (a): - The…

Answered: A shipping company handles containers…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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A shipping company handles containers in three different sizes: (1) 27 ft³ (3 × 3 × 3), (2) 125 ft³, and (3) 512 ft³. Let X; (i = 1, 2, 3) denote the number of type i containers shipped during a given week. With μ; = E(X;) and 0,2² = V(X), suppose that the mean values and standard deviations are as follows: = = 220 M1 01 10 M2 02 = = 250 = 13 μ3 = 03 = = 150 = 6 (a) Assuming that X1, X2, X3 are independent, calculate the expected value and variance of the total volume shipped. [Hint: Volume = 27X₁ + 125X2 + 512X3.] expected value variance ft³ ft6 1 (b) Would your calculations necessarily be correct if the X,'s were not independent? Explain. The expected value would be correct, but the variance would not be correct. The expected value would not be correct, but the variance would be correct. Neither the expected value nor the variance would be correct. Both the expected value and the variance would be correct.
The mean arterial pressure (or MAP, average arterial pressure in one cardiac cycle) is a measure for perfusion status. You are interested to know if it is possible to predict an adult's MAP (Y) based on the body surface area (X). Suppose you randomly selected 50 adults, and measured their mean arterial blood pressure (in mmHg) & body surface area (in m2). The results are reflected below: I = 1.6 s, = 0.5 y = 80.1 s, = 16.9 r 0.8 %3D %3D (Source: Nall, R. (2018, April 10). Mean arterial pressure: Normal, low, high readings plus treatment. Retrieved from https://www.healthline.com/health/mean-arterlal-pressurel There is a 99.7% chance that the actual MAP of those with body surface area of 1.66 m2 falls between and OA) 61.5; 102.0 B) 58.9; 104.5 O C) 66.5; 96.9 O D) 71.6; 91.9 E) 51.3; 112.1
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Suppose u, and u, 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 = 115.5, s, = 5.04, n = 9, y = 129.9, and s, = 5.37. 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.) n USE SALT |-19.56 Does the interval suggest that precise information about the value of this difference is available? O Because the interval is so narrow, it appears that precise information is not available. O Because the interval is so wide, it appears that precise information is not available. O Because the interval is so wide, it appears that precise information is available. O Because the interval is so narrow, it appears that precise information is available.
Suppose u, and u, 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 = 5, x = 115.1, s, = 5.05, n = 5, y = 129.2, and s, = 5.36. 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.) n USE SALT Does the interval suggest that precise information about the value of this difference is available? O Because the interval is so narrow, it appears that precise information is available. o Because the interval is so wide, it appears that precise information is not available. o 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. You may need to use the appropriate table in the Appendix of Tables to answer this question.
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A shipping company handles containers in three different sizes: (1) 27 ft3 (3 × 3 × 3), (2) 125 ft³, and (3) 512 ft³. Let X; (i = 1, 2, 3) denote the number of type i containers shipped during a given week. With p; = E(X;) and of V(X;), suppose that the mean values and standard deviations are as follows: H1 = 230 M2 = 260 Из = 110 01 = 11 02 = 13 03 = 6 (a) Assuming that X1, X2, X3 are independent, calculate the expected value and variance of the total volume shipped. [Hint: Volume = expected value ft3 27X1 + 125X2 + 512X3.] variance ft6
Suppose u, and µ, 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 = 7, x = 113.3, s. = 5.02, n = 7, y = 129.8, and S2 = 5.32. 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.) In USE SALT Does the interval suggest that precise information about the value of this difference is available? Because the interval is so wide, 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 not available. Because the interval is so narrow, it appears that precise information is available.
Let x represent the hemoglobin count (HC) in grams per 100 milliliters of whole blood. The distribution for HC is approximately normal with μ = 14 for healthy adult women. Suppose that a female patient has taken 12 laboratory blood samples in the last year. The HC data sent to her doctor is listed below. We would like to know if the data indicates this patient has significantly high HC compared to the population. 20,17,15,15,22,21,16,16,20,22,15,21 Give the test statistic for this hypothesis test. Choose the correct answer from below options: a) z = 17.92 b) t = −5.17 c) t = 2.90 d) t = 5.17 e) z = −2.90 f) z = 5.17 g) t = −17.92
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A shipping company handles containers in three different sizes: (1) 27 ft3 (3 x 3 x 3), (2) 125 ft³, and (3) 512 ft3. Let X; (i = 1, 2, 3) denote the number of type i containers shipped during a given week. With u; = E(X;) and o,? = V(X;), suppose that the mean values and standard deviations are as follows: H = 210 H, = 240 H3 = 140 o, = 11 02 = 13 o3 =8 (a) Assuming that X,, X,, X3 are independent, calculate the expected value and variance of the total volume shipped. [Hint: Volume = 27x, + 125x, + 512x3.] expected value O ft3 variance ft6 (b) Would your calculations necessarily be correct if the X's were not independent? Explain. O Neither the expected value nor the variance would be correct. O The expected value would be correct, but the variance would not be correct. O Both the expected value and the variance would be correct. O The expected value would not be correct, but the variance would be correct. Need Help? Read It
Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of recovery in km/100. The following data are representative of one study using drift bottles to study ocean currents. Σx = 476, Σy = 87.1, Σx2 = 62,290, Σy2 = 2046.87, Σxy = 11121.3,and r ≈ 0.94367. x days 72 76 32 91 205y km/100 14.7 19.6 5.3 11.7 35.8 a) Use a 1% level of significance to test the claim ? > 0.(Use 2 decimal places.)t =critical t= b) Find the predicted distance (km/100) when a drift bottle has been floating for 60 days. (Use 2 decimal places.)________ km/100 c) Find a 90% confidence interval for your prediction of part (d). (Use 1 decimal place.)lower limit = _____…

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