After a polution event in an estuary, we want to estimate proportion of shell fish that are impacted by the pollution in the water. What sample size do we need to ensure our 95% confidence interval is no more than +/-0.04 given no information on the likely level of the proportion?

After a polution event in an estuary, we want to estimate proportion of shell fish that are impacted by the pollution in the water. What sample size do we need to ensure our 95% confidence interval is no more than +/-0.04 given no information on the likely level of the proportion?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

See similar textbooks

Related questions

Q: Watch your cholesterol: The mean serum cholesterol level for U.S. adults was 202, with a standard…

Q: n this problem, assume that the distribution of differences is approximately normal. Note: For…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Approximately what percentage of scores falls between -1 and +1 Standard deviation around the mean…

A: Let X be the random variable from Normal distribution with mean μ and standard deviation σ.

Q: Two random samples of size 100 were taken from distinct populations. The resulting sample…

A: Given n1=100 n2=100 p1=0.43 p2=0.75 p^=0.90

Q: Factories A and B produce computers. Factory A produces 4 times as many computers as factory B. The…

A: Factories A and B produce computers. Factory A produces 4 times as many computers as factory B. The…

Q: Ages Number of students 15-18 19-22 23-26 27-30 31-34 35-38 5 2 2 Cumulative Frequency 5 8 5 Based…

A: Given data is Ages Number of students 15-18 5 19-22 2 23-26 2 27-30 5 31-34 8 35-38 5

Q: A student wants to see if the number of times a book has been checked out of the library in the past…

A: Correlation is the measure that used to determine the association between the two variable. The…

Q: A survey was conducted that asked 1019 people how many books they had read in the past year. Results…

Q: Construct a confidence interval of the population proportion at the given level of confidence.…

A: Givenx=540n=1200confidence interval = 96%

Q: A researcher is interested in seeing if the average income of rural families is greater than that of…

A: Givenfor rural familiesn1=59x1=65268σ1=892For urban familiesn2=56x2=66697σ2=820α=0.01

Q: 15. Consider this upper-tail hypothesis test: Ho: p ≤ 0.70 against H₁: p > 0.70. If a random sample…

Q: Listed below are the numbers of words spoken in a day by each member of six different couples. The…

A: Given data: Males 5638 21319 17572 26429 46978 25835 Females 5198 11661 19624 13397 31553 18667…

Q: Problem 13 page 552 A BMW car dealer in Sicilia, Italy, has the following monthly new car sales data…

A: a) Solution: Yes there is an increasing trend

Q: The purpose of a confidence interval is: O To test a claim about a population parameter. To find a…

A: It is needed to find the purpose of confidence interval.

Q: Population values: 1, 5, 6 μ- Population mean - - Population standard deviation - 2.16 deviation and…

A: The given population values are: 1, 5, and 6. A sample of size 2 is to be considered, and the…

Q: For parts (d), (e), and (f), convert the z intervals to x intervals. (For each answer, enter a…

A: The mean is 27.1 and the standard deviation is 4.

Q: A convenience store recently started to carry a new brand of soft drink. Management is interested in…

A: Given data: .

Q: As part of the National Health and Nutrition Examination Survey, the Department of Health and Human…

A: Given; sample size n = 12 α = 0.05 Formula Used: Test-statistic t = d sdn

Q: The sample space of a random experiment is (a, b, c, d, e, f), and each outcome is equally likely. A…

Q: Question 9 Assume that a sample is used to estimate a population proportion p. Find the 99.9%…

Q: Use a graphing calculator to find a linear regression model for the men's 100-meter freestyle data…

A: Given data, Year Men Women 1980 50.4 54.79 1984 49.8 55.92 1988 48.63 55 1992 49.02…

Q: A random sample of 42 KU college students gave a mean age of their vehicles of 11.3 years and a…

A: Let U1 denotes the age of the vehicles of 42 KU college students. Let U2 denotes the age of the…

Q: If you use a 0.05 level of significance in a two-tail hypothesis test, what decision will you make…

A: Givensignificance level(α)=0.05Z test statistic(zSTAT)=-2.14

Q: The average running times of disks produced by Company A is 88.1 minutes and a standard deviation of…

Q: 2. Using the measures of dispersion, describe the population of the world's top ten (10) crowded…

A: Given data is City Country Population Tokyo Japan 37,435,191 Delhi India 29,399,141…

Q: The Safe Grad Committee at the high school is selling tickets on a Christmas Basket filled with…

A: Prize =1200 No: of tickets=500 Expected value of a ticket=1200/500=$2.4

Q: If P(A∩B)=0.21, and P(A|B)=0.3P, then P(B)=

A: Answer : -Given, P(A∩B)=0.21 and P(A|B)=0.3 Find P(B)=?

Q: 1. As of August 12, 2021, these are the countries with confirmed COVID-19 cases ranging from one to…

A: Frequency is also known as count. It used to consolidate the larger number of data set into table…

Q: Suppose a sample of 30 Statistics students are given an IQ test. If the sample has a standard…

A: Given n=30, sample standard deviations s=12.23

Q: Assume that each of your calls to a popular radio station has a probability of p-0.03 of connecting,…

A: It is given that p=0.03.

Q: The number of messages that arrive at a Web site is a Poisson distributed random variable with a…

A: GivenA mean of 6 messages per hourλ=6 per hourLet "x" be the no.of messages are received…

Q: Considering more than 2 standard deviations from the mean. Select all the distributions for which…

A: The question is about sampling. dist. Given : Popl. mean of dist ( μ ) = 100 Popl. std. deviation (…

Q: FACTORIAL TYPE QUESTION: Mr.and Mrs. Khan want a family picture taken with their children, Hamish,…

A: Given that Mr.and Mrs. Khan want a family picture taken with their children, Hamish, Flora and…

Q: graph, answer the questions. Number of T-shirts Sold 12- 10- 8- 6- 4- 2- red white blue Color black…

A: Graphs are used for easy understanding. It used to visualize the data set. Each graphs are used for…

Q: Two random samples were taken from distinct populations. The sample from population one was of size…

A: Suppose p1 is the true proportion of population one and p2 is the true proportion of population two.

Q: = X 3 4 5 6 7 y 18.66 20.18 21.4 22.22 21.44 X +

A: The given data is x y 3 18.66 4 20.18 5 21.4 6 22.22 7 21.44 8 23.56 9 22.28 10…

Q: A random sample of size 81 was taken whose variance is 20.25 and mean is 32 construct 98% confidence…

Q: with probability in a period independently. • What is the probability that the person ever goes…

A: Given Solution:

Q: 1. It was claimed that the taller the father is, the taller will be the eldest son also. Given the…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: At a university, a dean is going to select 4 volunteers to serve on a committee. There are 11…

A: At university, a dean is going to select 4 volunteers to serve the committee. For this there are 11…

Q: Brand A Brand B 35 50 25 55 22 62 38 68 40 57 28 70 The prices of two different brands of…

A: Given data: Brand A 35 25 22 38 40 28 Brand B 50 55 62 68 57 70

Q: Consider 2 variables X and Y. The data for X has a mean of 10 and standard deviation of 3. The data…

A: From the given information, sX=3, sY=6, and r=-0.4.

Q: Fill in the table. Interval number 1 2 3 4 5 6 Probability the true value of Confidence Level (C)…

A: The confidence interval is the range of values within which the population parameter is expected to…

Q: Two random samples were taken from distinct populations. The sample from population one was of size…

A: Given n1=92 n2=69 X1=12 X2=28

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A: Given Information: Mean μ=127 Standard deviation σ=33.9

Q: A researcher wants to know how long it takes, on average, for a certain species of bacteria to…

A: The times of 19 cells to divide, are given.

Q: What percentage of the variability in the number of delivery days for a car is NOT explained by…

A: From the given output, the R square value is 0.7105.

Q: Perform a statistical analysis/test of hypothesis, showing all the steps in hypothesis testing. A…

A: The following information has been given: n=60 s=1.052x¯=7.25

Q: Use the applet below to select a random sample of 9 babies from the town. Assume μ = 3,500. Repeat…

A: The objective is to define the most appropriate sequence of sample means of birth weight of 9 babies…

Q: 1. As of August 12, 2021, these are the countries with confirmed COVID-19 cases ranging from one to…

A: Given the table containing the countries with confirmed COVID-19 cases ranging from 1 to 250 :…

Question

After a polution event in an estuary, we want to estimate proportion of shell fish that are impacted by the pollution in the water. What sample size do we need to ensure our 95% confidence interval is no more than +/-0.04 given no information on the likely level of the proportion?

Video Video

Expert Solution