Consider the accompanying observations on stream flow (1000s of acre-feet) recorded at a station in Colorado for the period April 1-August 31 over a 31-year span.150.5866.24117.6489.59204.91108.91185.36210.07109.11117.70285.37280.55299.8758.86100.8594.33125.86302.74311.13151.32247.11203.24127.96330.33114.79145.11262.09200.19493.80111.78133.86An appropriate probability plot supports the use of the lognormal distribution as a reasonable model for stream flow.(a) Estimate the parameters of the distribution. [Hint: Remember that X has a lognormal distribution with parameters u and o? if In(X) is normally distributed withmean u and variance o2.] (Round your estimate for the mean to three decimal places, and round your estimate for the variance to four decimal places.)ô2 =(b) Use the estimates of part (a) to calculate an estimate of the expected value of stream flow. [Hint: What is E(X)?] (Round your answer to two decimal places.)thousand acre-feet

Introduction: Denote X as the stream flow (1000s of acre-feet) at the given station between April 1…

Answered: Consider the accompanying observations…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A researcher is interested in studying the maximum amount of time students can pay attention during an online Zoom session during a summer Statistics course before going insane. The following 16 values were recorded (in minutes): 151.0 101.3 80.3 53.5 93.1 107.0 128.5 98.3 85.0 142.0 94.1 90.4 115.8 71.2 114.9 82.6 The data is provided: 151.0 101.3 80.3 53.5 93.1 107.0 128.5 98.3 85.0 142.0 94.1 90.4 115.8 71.2 114.9 82.6 Note: the sample size is less than 30 and we have no idea about the normality of the data! The researcher believes it is reasonable to assume that a deviation from 105 minutes of any particular magnitude is just as likely to be positive as negative. She wants to test this with 95% confidence. What is the associated p-value? (three decimals)
Calculate the transmittance percentage (%T) of a sample that has a absorbance of 0.289 at 535nm. 75.2% 28.9% 51.3% 123.1% 48.7%
EXAMPLE A civil engineer is interested in determining whether four different methods of estimating flood flow frequency pro- duce equivalent estimates of peak discharge when applied to the same watershed. Each procedure is used six times on the watershed, and the resulting discharge data (in cubic feet per second) are shown Estimation Method Observations 1 0.34 0.12 1.23 0.70 1.75 0.12 2 0.91 2.94 2.14 2.36 2.86 4.55 3 6.31 8.37 9.75 6.09 9.82 7.24 4 17.15 11.82 10.95 17.20 14.35 16.82
SAMPLE NAME pH EC DATE SAMPLED Effluent 1 7.1 80 27/02/2020 Effluent 2 5.1 410 27/02/2020 Effluent 3 5.0 1400 27/02/2020 Effluent 1 7.0 80 25/01/2020 Effluent 2 6.5 730 25/01/2020 Effluent 3 7.1 800 25/01/2020 Effluent 1 7.2 400 24/12/2019 Effluent 2 6.9 700 24/12/2019 Effluent 3 7.2 790 24/12/2019 Effluent 1 7.1 250 23/11/2019 Effluent 2 6.8 750 23/11/2019 Effluent 3 7.0 800 23/11/2019 Effluent 1 7.0 350 25/10/2019 Effluent 2 6.9 810 25/10/2019 Effluent 3 7.1 810 25/10/2019 Effluent 1 7.0 750 28/09/2019 Effluent 2 7.0 350 28/09/2019 Effluent 3 7.0 770 28/09/2019 Effluent 1 7.0 750 25/08/2019 Effluent 2 7.0 350 25/08/2019 Effluent 3 7.0 750 25/08/2019 Effluent 1 7.0 350 27/07/2019 Effluent 2 7.1 680 27/07/2019 Effluent 3 6.8 760 27/07/2019 Effluent 1 7.2 400 27/06/2019 Effluent 2 6.8 650 27/06/2019 Effluent 3 6.7 760 27/06/2019 Effluent 1 7.0 350 26/05/2019 Effluent 2 6.9 750 26/05/2019 Effluent 3 7.0 770 26/05/2019 Effluent…
A drug company claims that their products’ contaminations never vary by more than 2%. Sample of 5 specimens were tested and the percentages of the purities are recorded as Observation no. 1 2 3 4 5 Percentages (%) 98.8 97.2 98.9 97.7 97.9 a. Do the sample data have enough proof to oppose the manufacturer's claim? (HINT: take the range of 2% equal 4o.) b. Find a 90% confidence interval for o?.
The following data give the measurements of the axles of bicycle wheels. 12 samples vere taken so thát each sample contains the measurements of 4 axles. The measurement which were more than 5 inches are given here. Obtain trial control limits forx and R charts and comment whether the process is under control or not. 139 140 142 136 145 146 148 145 140 140 141 138 140 142 136 137 146 148 145 146 139 140 137 140 145 142 143 142 146 149 146 147 144 139 141 141 139 142 144 142 146 144 146 144 [For n = 4, A, = 0.73, 138 139 139 138 D3 = 0, D4= 2.28]
0.0 .5000 5040 5080 .5120 5160 .5199 .5239 5279 .5319 .5359 0.1 .5398 5438 5478 .5517 .5557 5596 .5636 5675 5714 .5753 0.2 .5793 5832 5871 .5910 5948 5987 .6026 .6064 .6103 6141 0.3 .6179 6217 .6255 .6293 .6331 .6368 .6406 .6443 .6480 6517 0.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 6879 0.5 .6915 .6950 .6985 .7019 .7054 7088 7123 .7157 .7190 7224 0.6 .7257 7291 .7324 .7357 .7389 .7422 7454 .7486 .7517 7549 0.7 7580 7611 7642 7673 .7704 7734 .7764 .7794 7852 7823 0.8 .7881 815 .7910 .7939 7967 .7995 .8023 8051 .8078 .8 106 8133 0.9 8186 .8212 8238 8264 8289 8315 .8340 8365 8389 1.0 8413 8438 .8461 8485 8508 .8531 8554 .8577 8599 8621 1.1 8643 8665 .8686 8708 .8729 8749 8770 8962 .8790 8810 8830 1.2 8849 8869 .8888 8907 .8925 .8944 .8980 8997 .9015 1.3 9032 .9049 .9066 .9082 .9099 9115 .9131 .9147 9162 .9177 1.4 9192 .9207 .9222 .9236 .9251 .9265 .9279 .9292 9306 .9319 1.5 .9332 .9345 9357 .9370 .9382 9394 .9406 .9418 9429 9441 1.6 .9452 .9463 9474 .9484 .9495 9505 .9515…
Given the following figures 5,12,6,3,8,11,15,9,12,15 calculate a measure of relative Kurtosis round to 2 decimals I
Consider the accompanying observations on stream flow (1000s of acre-feet) recorded at a station in Colorado for the period April 1-August 31 over a 31-year span. 150.58 66.24 117.64 89.59 204.91 108.91 185.36 210.07 109.11 117.70 285.37 280.55 299.87 58.86 100.85 94.33 125,86 302.74 311.13 151.32 247.11 203.24 127.96 330.33 114.79 145.11 262.09 200.19 493.80 111.78 133.86 An appropriate probability plot supports the use of the lognormal distribution as a reasonable model for stream flow. (a) Estimate the parameters of the distribution. [Hint: Remember that X has a lognormal distribution with parameters u and o? if In(X) is normally distributed with mean u and variance o2.] (Round your estimate for the mean to three decimal places, and round your estimate for the variance to four decimal places.) 62 = (b) Use the estimates of part (a) to calculate an estimate of the expected value of stream flow. [Hint: What is E(X)?] (Round your answer to two decimal places.) thousand acre-feet
An author claimed that his annual book sales increased after the year 2000. Past data indicates that the average annual sales for his books are Php 200 M (200 million pesos). The data for the annual sales are normally distributed as shown (in million peso): 2000: 50 2001: 782006: 4002011: 1892016: 83 2002: 3002007: 2902012: 2052017: 132 2003: 2502008: 932013: 3722018: 173 2004: 2002009: 1522014: 4262019: 195 2005: 1852010: 2372015: 252020: 450 Are the author's words true at 98% confidence? In your complete solution, state the null and alternative hypothesis and the complete calculation of test statistic.

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