10) A sample of automobile dealerships found that 36% of automobiles sold are SUVs. Of these 36%, 27% are silver.
a) Find the probability that a randomly selected sold automobile
is an SUV and is silver.
b) Find the probability that a randomly selected sold automobile is
an SUV and is not silver.
10) A sample of automobile dealerships found that 36% of automobiles sold are SUVs. Of these...
Automobiles purchased: An automobile owner found that 20 years ago, 76% of Americans said that they would prefer to purchase an American automobile. He believes that the number is much less than 76% today. He selected a random sample of 5 Americans and found that 38 said that they would prefer an American automobile. Can it be concluded that the percentagetoday is less than 76%? At α = 0.01, is he correct?
3. A certain company operates automobile dealerships in six regions. The general manager questioned whether the mean profit margin per vehicle sold differed by region. A random sample of 5 vehicles sold in each region is selected and the profit margin of each vehicle is recorded. Given the value of the test statistic is 2.52, what do you conclude in terms of the problem)? Use a = .05. What is the P-value of your test statistic?
The average of 65 randomly selected compact automobiles was 2728 pounds. The sample standard deviation was 350 pounds. Find the 99% confidence interval of the true mean weight of the automobiles.
A previous study that investigated the cost of renting automobiles in the United States found a mean cost of approximately $55 per day for renting a midsize automobile with a standard deviation of $9.65. Suppose the project director wants an estimate of the population mean daily rental cost such that there is a .99 probability that the sampling error is $2 or less. How large a sample size is needed to meet the required precision?
Exhibit 10-9 Two major automobile manufacturers have produced compact cars with the same size engines. We are interested in determining whether or not there is a significant difference in the MPG (miles per gallon) of the two brands of automobiles. A random sample of eight cars from each manufacturer is selected, and eight drivers are selected to drive each automobile for a specified distance. The following data show the results of the test. Driver Manufacturer A Manufacturer B 1 32...
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I. Over the past 300 days, DiCarlo has experienced 54 days with no automobiles sold, 117 days with 1 automobile sold, 72 days with 2 automobiles sold, 42 days with 3 automobiles sold, 12 days with 4 automobiles sold, and 3 days with 5 automobiles sold. Suppose we consider the experiment of observing a day of operations at DiCarlo Motors and define the random variable of interest as x the number of automobiles sold during a day. a) Use...
A random sample of size 36 is to be selected from a population that has a mean μ = 50 and a standard deviation σ of 10. * a. This sample of 36 has a mean value of , which belongs to a sampling distribution. Find the shape of this sampling distribution. * b. Find the mean of this sampling distribution. * c. Find the standard error of this sampling distribution. * d. What is the...
The manager of a used car lot took inventory of the automobiles on his lot and constructed the following table based on the age of his car and its make (foreign or domestic) Age of Car (in years) Make Foreign Domestic Total 39 45 84 -5 6-10 29 25 54 over 10 | Total 100 100 200 21 15 36 15 26 A car was randomly selected from the lot. Given that the car selected is older than two years...
defect An automobile manufacturer finds that 1 in every 2000 automobiles produced has a particular manufacturing efect in a random sample of 4500 cars (a) Use a binomial distribution to find the probability of finding 4 cars with the d b) The Poisson distrbution can be used to approximate the binomial distribution for large values of n and small values of p. Repeat (a) using a Poisson distribution and compare (a) The probablity using the binomial distribution is Round to...
5. (10 points) A sample of 36 people was randomly selected from among the workers in a shoe factory. The time taken for each person to polish a finished shoe was measured. The sample mean was 4.0 minutes. Assume that 0 = 0.7 minutes. a) Check assumptions and choose an appropriate interval procedure. b) Find a 90% confidence interval for the true mean time, , to polish a shoe. Please show your work. c) Interpret the confidence interval.