A researcher would like to estimate the average age of physicians at a clinic. How large does the sample need to be if the researcher would like to be 99% confident that the estimate is accurate within one year. From a previous study, the standard deviation of age is known to be 3 years. Provide an interpretation of the results.
The American Water Works Association estimates that the average person in the United States uses 123 gallons of water per day. Suppose some researchers believe that more water is being used now and want to test to determine whether it is so. They randomly select a sample of Americans and carefully keep track of the water use
A researcher is interested in estimating the noise levels in decibels at area urban hospitals. She wants to be 99% confident that her estimate is correct. If the standard deviation is 4.4, how large a sample is needed to get the desired information to be accurate within 0.65 decibels? Show all work.
A previous study of nickels showed that the standard deviation of the weight of nickels is 150 milligrams. How many nickels does a coin counter manufacturer need to weigh so that she can be 98% confident that her sample mean is with 25 milligrams of the true average weight of a nickel?
Teamwork Unit 4 5-41, Suppose you are sampling from a population with mean µ=1,065 and standard deviation σ=500. The sample size is n=100. What are the expected value and the variance of the sample mean ˉX? 5-44, When sampling is for a population proportion from a population with actual proportion p=0.5 using
A social service agency plans to conduct a survey to determine the mean income of its clients. The director of the agency prefers that you measure the mean income very accurately, to within + or - $500 from a sample taken 2 years ago, you estimate that the standard deviation of income for this population is about $5000 your job
A medical statistician wants to estimate the average weight loss of people who are on a new diet plan. In a preliminary study, he guesses that the standard deviation of the population of weight losses is about 10 pounds. How large of sample should he take to estimate the mean weight loss to within two pounds and with 90% confid
1. The amounts (in ounces) of juice in eight randomly selected juice bottles are: 15.4 15.7 15.2 15.8 15.8 15.4 15.0 15.6 Assuming the population of amounts in juice bottles is known to be normally distributed, create a 95% confidence interval estimate for , the mean amount of juice in all bottles. You will b
Q1: Why does the sample size play such an important role in reducing the standard error of the mean? What are the implications of increasing the sample size? Q2: Why might one be interested in determining a sample size before a study is undertaken? How do population variability and a level of certainty affect the size of
A researcher wishes to estimate with 99% confidence, the proportion of adults who have high-speed Internet access. Her estimate must be accurate within 2% of the true proportion. a) ind the minimum sample size needed, using a prior study that found that 36% of the respondents said they have high-speed Internet access. What
An investment firm with 10,000 clients would like to accurately forecast the average dollar amount their current customer will deposit over the coming year. They decide to telephone a random selection of 25 of their customers to ask how much they plan to deposit, and they would like to keep this sample as small as possible so th
The manager of a department store wants to determine what proportion of people who enter the store use the store's credit cards for their purchases. What size sample should he take so that at 95% confidence the error will not be more than 6%?
9-30. Past surveys reveal that 30 percent of tourists going to Las Vegas to gamble during a weekend spend more than $1,000. Management wants to update this percentage. a. The new study is to use the 90 percent confidence level. The estimate is to be within 1 percent of the population proportion. What is the necessary sample s
Managers at an automobile manufacturing plant would like to estimate the mean completion time for an assembly line. Assuming the standard deviation is 10.1 minutes, what is the minimal sample size for managers to be 99% confident that their estimate is within 2.2 minutes.
A consumer advocacy group is doing a large study on rental car prices....Using the value of 750 miles per month as the standard deviation, what is the minimum sample size needed in order for the consumer group to be 90% confident that is estimate within 175 miles per month...
An automobile manufacturer wants to estimate the mean gasoline mileage that its customers will obtain with its new compact model. How many sample runs must be performed in order that the estimate be accurate to within 0.25 mpg at 90% confidence? (Assume that σ = 2.0.)
If a population of ten thousand children what steps would you use to select a representative sample size of one hundred fifty? 1/2 boys and 1/2 girls 70% white and 30% nonwhite 57% single-parent family and 43% dual-parent family)
A researcher is interested in estimating the average salary of fire fighters in a large city. He wants to be 95% confident that his estimate is correct. If the standard deviation is $1050, how large a sample is needed to get the desired information and to accurate within $200?
How I would obtain a 150 representative sample size?
Choosing an appropriate sample size A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to estimate the mean monthly mileage, u , of cars rented in the U.S. over the past year. The consumer group plans to choose a random sample of monthly U.S. rental car mi
In order to be accepted into a top university, applicants must score within the top 5% on the SAT exam. Given that SAT test scores are normally distributed with a mean of 1000 and a standard deviation of 200, what is the lowest possible score a student needs to qualify for acceptance into the university? A) 1330 B) 1400 C
1. The Arkansas State Police wish to estimate the average mph being traveled on the interstate highways, which cross the state. If the estimate is to be within 8 mpg of the true mean with 98% confidence and the estimated standard deviation is 22 mph, how large a sample size must be taken? 2. The odds in favor of an event ar
You are interested in determining the average cost of a 3-minute telephone call to locations within the continental U.S. What sample size must you take to be 96% confident that the results will be within $.75 of the true mean cost per call? From the phone company, you have received an estimate of = 7.71.
In Week 1 of RES/342 we determined the optimal sample size, n, using a three variable formula. Fill in the following table (see attachment) listing the three variables and specify the effect on n (either + or -) of increasing and decreasing each variable, one at a time.
Sample Size for Weights of Quarters The Tyco Video Game Corporation finds that it is losing income because of slugs used in video games. The machines must be adjusted to accept coins only if they fall within set limits. In order to set these limits, the mean weight of quarters in circulation must be estimated. A sample of qu
Toyota provides an option of a sunroof and side air bag package for its Corolla model. This package costs $1400 ($1159 invoice price). Assume that prior to offering this option package, Toyota wants to determine the percentage of Corolla buyers who would pay $1400 extra for the sunroof and side air bags. How many Corolla buys
Please see the attached file. A company wants to conduct a telephone survey of randomly selected voters to estimate the proportion of voters who favor a particular candidate in a presidential election, to within 2% error with 95% confidence. It is guessed that the proportion is 53%. 1. What is the required minimum sampl
1) In order to set rates, an insurance company is trying to estimate the number of sick days that full time workers at an auto repair shop take each year. A previous study indicated the standard deviation was 2.8 days. How large a sample must be selected if the company wants to be 95% confident that the true mean differs from th
Please show me how you solved problem below: A member of Congress wants to determine her popularity in a certain part of the state. She indicates that the proportion of voters who will vote for her must be estimated within plus or minus 2 percent of the population proportion. Further, the 0.95 degree of confidence is to be
Sample Size: How many boxes must the processor sample to be 95 percent confident that the sample mean does not differ from the population mean by more than 0.2 pounds?
A processor of carrots cuts the green top off each carrot, washes the carrots, and inserts six to a package. Twenty packages are inserted in a box for shipment. To test the weight of the boxes, a few were checked. The mean weight was 20.4 pounds, the standard deviation 0.5 pounds. How many boxes must the processor sample to be 9