(d) What is the probability that a random sample of 16 people will exceed the weight limit?An elevator at a college has a posted weight limit of 2,700 pounds, and a maximum capacity of 16 people. We determined that if the sample mean x ≥ 168.75 for a particular sample of 16 people, then the weight capacity will be exceeded. We are asked todetermine the probability that a random sample of 16 people will exceed the weight limit.We previously determined the mean and standard deviation of the sampling distribution of x.We are given that the distribution of weights of individuals on campus is approximately normal, so the sampling distribution of X is approximately normal also. We can calculate the desired probability by standardizing. Recall the standardization formula.= P( ₂2 b=H=²)H = 165σ- = 7.75P(x ≥ b) = PzzIn other words, we need to find the following. (Round your answer to four decimal places.)7.75X - 165= P(₂P(x > 168.75) == P(z== 1 -> 165≤7.757.75xX

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Answered: (d) What is the probability that 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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Is the difference between the mean annual salaries of statisticians in Region 1 and Region 2 more than $4000? To decide, you select a random sample of statisticians from each region. The results of each survey are shown to the right. At a = 0.10, what should you conclude? Region 1 X1 = $67,700 01 = $8875 Region 2 X2 = $61,000 02 = $9250 n1 = 48 n2 = 44 Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Choose the correct answer below. O A. Reject Ho. At the 10% significance level, there is sufficient evidence to support the claim that the difference between the mean annual salaries is more than $4000. O B. Fail to reject Ho. At the 10% significance level, there is sufficient evidence to support the claim that the difference between the mean annual salaries is more than $4000. OC. Reject Ho. At the 10% significance level, there is insufficient evidence to support the claim that the difference between…

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