A recent survey of 1500 residents in a city indicated that around 40% of the residents...
1. A recent Survey showed that residents of City A have the longest travel times to get to work compared to residents of other cities in North Carolina. According to the latest statistics available, the average travel time to work for residents of City A is 22.5 minutes. a. Assume the exponential probability distribution is applicable and show the probability density function for the travel time to work for a resident of this city. b. What is the probability it...
In a city, 60% of the residents live in houses and 40% of the residents live in apartments. Of the people who live in houses, 20% own their own business. Of the people who live in apartments, 10% own their own business. If a person owns his or her own business, find the probability that he or she lives in a house.
A recent study of 28 city residents showed that the mean of the time they had lived at their present address was 9.3 years and the standard deviation was 2 years. Assuming a normal population, find the 90% confidence interval of the true mean. Interpret the interval estimate. A US Travel Data Center survey conducted for Better Homes and Gardens of 1500 adults found that 39% said that they would take more vacations this year than last year. Find the...
A recent study reported that 25% of the residents of a particular community lived in poverty. Suppose a random sample of 300 residents of this community is taken. We wish to determine the probability that 29% or mon in poverty. Complete parts (a) and (b) below. a. Before doing any calculations, determine whether this probability is greater than 50% or less than 50%. Why? O A. The answer should be less than 50%, because the resulting Z-score will be negative...
A study is to be made to estimate the proportion of residents of a certain city and its suburbs who favor the construction of a nuclear power plant near the city. How large a sample is needed if one wishes to be at least 90% confident that the estimate is within 0.07 of the true proportion of residents who favor the construction of the nuclear power plant? Click here to view page 1 of the standard normal distribution table. Click...
A city reported that 54% of its adult residents have children. A researcher randomly samples 200 adult residents in the city and asks them whether or not they have children. (a) (2 points) How many adults in the sample are expected to have children? (b) (5 points) Verify the sampling distribution of the sample proportion is normal, and deter- mine the mean and standard deviation of the sampling distribution. (c) (3 points) What is the probability that 117 adults or...
1. Suppose that a survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales tax. Suppose that 40% of all adults in Ohio support the increase. We independently select 7 adults at random and record their status in supporting the increase. What is the probability that exactly 4 people support the increase in tax? Group of answer choices 0.2419 0.5162 0.1935 0.4838 2. A sample of 24 observations is taken from...
The per capita disposable income for residents of a U.S. city in a recent year is normally distributed, with a mean of about $44,000 and a standard deviation of about $2450. Use this information in Exercises 7-10. 7. Find the probability that the disposable income of a resident is more than $45,000. Is this an unusual event? Explain. 8. Out of 800 residents, about how many would you expect to have a disposable income of between $40,000 and $42,000? 9....
The City of Decatur finds that salaries for residents working in the technology sector follow an approximately normal distribution with a mean of $42,800 and a standard deviation of $8,365. To the nearest hundredth, what Z-Score would be used to determine the percentage of residents working in the technology sector who earn more than $30,000?
A survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let p denote the proportion in the sample who say they support the increase. Suppose that 55% of all adults in Ohio support the increase. The st deviation of the sampling distribution is _______