Two types of residential properties in Pittsburg. The types are independent. The table show the mean and standard deviation of the number of bedrooms for the two types.
| type | aparment | house |
| mean | 2.4 | 3.9 |
| standard deviation | 1.5 | 2.2 |
Andi see an aparment building of 20 units. She wants to estimate the total number of bedrooms in this building. What is the mean and standard deviation of the total number of bedrooms in this building?
Two types of residential properties in Pittsburg. The types are independent. The table show the mean...
Two types of residential properties in Pittsburg. The types are independent. The table show the mean and standard deviation of the number of bedrooms for the two types. type aparment house mean 2.4 3.9 standard deviation 1.5 2.2 Andi see an aparment building of 20 units. She wants to estimate the total number of bedrooms in this building. What is the mean and standard deviation of the sampling distribution of x bar?
4. Joan's Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost-estimating purposes, managers use two hours of labor time for the planting of a medium-sized tree. Actual times from a sample of 10 plantings during the past month in hours are as follows: 1.7 1.5 2.6 2.2 2.4 2.3 2.63.042.3...
Random samples of players for two types of video games were
selected, and the mean number of hours per week spent playing the
games was calculated for each group. The sample means were used to
construct the 90 percent confidence interval (1.5, 3.8) for the
difference in the mean number of hours per week spent playing the
games. The maker of one of the video games claims that there is a
difference in the population mean number of hours per...
An industrial plant wants to determine which of two types of fuel, electric or gas, is more cost efficient (measured in cost per unit of energy). Independent random samples were taken of plants using electricity and plants using gas. These samples consisted of 11 plants using electricity, which had a mean cost per unit of $42.1 and standard deviation of $8.46, and 15 plants using gas, which had a mean of $50.3 and standard deviation of $7.9. Assume that the...
Delta Properties builds houses. They have two models, Economy and Deluxe. The cost to build depends on the square footage of the house and the size of the lot. Of course, the house and lot for the Deluxe model are larger than those for the Economy model. The size of the house and the lot size for each model is given in the table below, in number of square feet Size of Building 2200 3500 Size of Lot 6000 9000...
Managers of an industrial plant want to determine which of two types of fuel, gas or electric, is more cost efficient (measured in cost per unit of energy). Independent random samples were taken of plants using electricity and plants using gas. These samples consisted of 14 plants using electricity, which had a mean cost per unit of $54 and standard deviation of $7.82, and 12 plants using gas, which had a mean of $54.7 and standard deviation of $8.61. Assume...
A random sample of n = 137 individuals results in X1 = 45 successes. An independent sample of n2 = 151 individuals results in X2 = 58 successes. Does this represent sufficient evidence to conclude that p; <P2 at the x = 0.01 level of significance? Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Click here to view the table of critical t-values. Click here to...
1. Suppose that random variables X and Y are independent and have the following properties: E(X) = 5, Var(X) = 2, E(Y ) = −2, E(Y 2) = 7. Compute the following. (a) E(X + Y ). (b) Var(2X − 3Y ) (c) E(X2 + 5) (d) The standard deviation of Y . 2. Consider the following data set: �x = {90, 88, 93, 87, 85, 95, 92} (a) Compute x¯. (b) Compute the standard deviation of this set. 3....
Managers of an industrial plant want to determine which of two types of fuel, gas or electric, is more cost efficient (measured in cost per unit of energy). Independent random samples were taken of plants using electricity and plants using gas. These samples consisted of 15 plants using electricity, which had a mean cost per unit of $61.7 and standard deviation of $7.87, and 10 plants using gas, which had a mean of S51.4 and standard deviation of $8.55. Assume...
An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.5 years of the population mean. Assume the population of ages is normally distributed. (a) Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 1.6 years. (b) The sample mean is 20 years of age. Using the minimum sample size with a 90% level of confidence,...