3. The alkalinity level of water specimens collected from a certain river is approximatelydistributed as normal with a mean of 50 miligrams per liter and a standard deviationof 2.5 miligrams per liter.i. Find the probability that a water specimen collected from the river has analkalinity level below 54 miligrams per liter.ii. If a sample of 20 specimens are collected from the river, what is the probabilitythat the mean alkalinity level is between 49.5 and 51.5 miligrams per liter?Answer

Given,sample size(n)=20mean(μ)=50standard deviation(σ)=2.5

Answered: 3. The alkalinity level of water…

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 biologist is attempting to determine the mean weight of African elephants. She conducts a sample of 60 elephants, and finds a sample mean of 8954 lbs., with a standard deviation of 127 lbs. Assume that the distribution of weights of African elephants is nearly normal.Define your variable: Let μμ be the mean weight of all African elephants, in lbs.. Let μμ be the mean weight of the sampled African elephants, in lbs.. Let p be the proportion of elephants that weigh . Let p be the proprotion of elephants in the sample. Create and interpret a 95% Confidence Interval. Round your answers to one decimal place. and lbs.What is the margin of error? Round your answer to one decimal place. lbs.Another biologist believes that the mean weight of elephants is 89898989. What do you think of this claim? That claim is not in our interval. We do not believe it. The claim is above the sample mean, so there is no way it can be true. The claim is inside the interval. It is reasonable. The…
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3. Assume the heights of students at Champlain College are normally distributed with a mean of 64.0 inchesand a standard deviation of 1.2 inches. Which of the following values best approximates the probabilityof randomly selecting a Champlain College studenttallerthan 62.2 inches?A. 0.0668B. 0.0359C. 0.9332D. 0.9641E. 1.0155
. Ketchup. A fast-food restaurant has just installed a new automatic ketchup dispenser for use in preparing its burgers. The amount of ketchup dispensed by the machine follows a normal distribution with a mean of 1.05 fluid ounces and a standard deviation of 0.08 fluid ounces. If the restaurant’s goal is to put between 1 and 1.2 fluid ounces of ketchup on each burger, what percent of the time will this happen? Show your work. Find the 99th percentile of the distribution of the amount of ketchup dispensed by the machine. Show your work
3. The average height of a male student in the EDA class of Engr. Ventura in PLM has historically been 1.625 meters with a standard deviation of 0.07 meter. Is there a reason to believe that there has been a change in the average height of male EDA students under Engr. Ventura if a random sample of 50 males in the present EDA class has an average height of 1.652 meters? Assume the standard deviation remains the same.
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The average height of the students in Ms. Joan’s class is 130 cm. Assuming that the height of thestudents is normally distributed with a standard deviation of 3.5 cm, how far from the mean in termsof the standard deviation are the following height of the students? a. Anna’s height: 124 cm b. Joey’s height: 139 cm
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Q) The RATES of a SWEET BOX follows a normal distribution with a mean of $2.20 and a standard deviation of $0.20. Find the RATE for which 10.23% of sweet boxes are exceeded. Round your answer to nearest cent (hundredth) if necessary.
III. SAMPLING AND SAMPLING DISTRIBUTIONS Assume that the systolic blood pressure of 30-year-old males is normally distributed, with an average of 122 mmHg and a standard deviation of 10 mmHg. а. b. Calculate the probability that the blood pressure of an individual male from this population will be between 118 and 124 mmHg.

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