An ecologist wishes to mark off a circular sampling region having radius 13 m. However, the radius of the resulting region is actually a random variable R with the following pdf.--1-(13-)²]f(r) = .012 ≤ r ≤ 14otherwiseWhat is the expected area of the resulting circular region? (Round your answer to two decimal places.)x m²

Here the given Pdf is We have to find the value of Expected area ie,

Answered: An ecologist wishes to mark off a…

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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The graph to the right portrays the decision criterion for a hypothesis test for a population mean u. The null hypothesis for the test is Ho:=Ho- The curve in the graph is the normal curve for the test statistic under the assumption that the null hypothesis is true. Complete parts (a) through (f) below. Reject | Do not reject Ho Ho I 0.04 -1.751 0 a. Determine the rejection region. OA. z> -1.751 O B. z>1.751 O C. zs - 1.751 OD. zs-1.751 or z2 1.751 b. Determine the nonrejection region. A. - 1.751 szS1.751 Question Viewer O B. B. - 1.751 -1.751 c. Determine the critical value(s). (Type integers or decimals. Do not round. Use a comma to separate answers as needed.) Click to select your answer(s). MacBook Pro F1 F2 F3 DII DD F4 F5 F6 F7 F8 F9 F10 23 & 4. 00 %24 2.
To test Ho: µ = 50 versus H,: µ < 50, a random sample of size n = 26 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. E Click here to view the t-Distribution Area in Right Tail. (a) If x = 47.5 and s = 11.9, compute the test statistic. to = (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a = 0.05 level of significance, determine the critical value(s). Although technology or a t-distribution table can be used to find the critical value, in this problem use the t-distribution table given. Critical Value: (Round to three decimal places. Use a comma to separate answers as needed.) (c) Draw a t-distribution that depicts the critical region. Choose the correct answer below. OA. OB. Oc. -ta12 ta/2 -ta (d) Will the researcher reject the null hypothesis? O A. Yes, because the test statistic falls in the critical region. B. No, because the test statistic falls in the critical…
26 The table to the right shows the cost per ounce (in dollars) for a random sample of toothpastes exhibiting very good stain removal, good stain removal, and fair stain removal. At α=0.01, can you conclude that the mean costs per ounce are different? Perform a one-way ANOVA test by completing parts a through d. Assume that each sample is drawn from a normal population, that the samples are independent of each other, and that the populations have the same variances. Very good stain removal Good stain removal Fair stain removal 0.37 0.75 0.60 0.49 2.66 1.18 0.33 0.46 0.46 1.64 0.33 0.50 0.58 0.41 1.39 (b) Identify the degrees of freedom for the numerator and for the denominator, determine the critical value, and determine the rejection region. The degrees of freedom for the numerator, d.f.N, is ____ and the degrees of freedom for the denominator, d.f.D, is _____ The critical…
Question 4
state whether or not this resulting observed interval ended up capturing the true population proportion p of 0.45.
The heights of fully grown trees of a specific species are normally distributed, with a mean of 54.5 feet and a standard deviation of 5.75 feet. Random samples of size 19 are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution. Then sketch a graph of the sampling distribution. The mean of the sampling distribution is u- %3D The standard error of the sampling distribution is o, = X. (Round to two decimal places as needed.) Choose the correct graph of the sampling distribution below. O A. В. OC. 2. 51.9 54.5 57.1 43.0 54.5 66.0
Assume that the random Variable X is normally distributed with mean pl. = 50 and Standard deviation a= 7. Compute the probability. Be sure to draw a normal to Curve with the area Corresponding que re the probability Shaded. P (35 < X < 57)
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