The household income of a large population city has a normal distribution with average of 68,000 and standard deviation of 12,000. A sample of 50 families is selected randomly. WHAT IS THE EXCEL FUNCTION USED?
A) What is mean of the sample, variance of the sample, and standard deviation of the sample?
b) Approximate the probability that the sample mean of the household income is greater than 80,000. [Requirement: Draw a bell shape graph and identify the mean, cut-off value, and shaded the area that can represent the question.
The household income of a large population city has a normal distribution with average of 68,000...
Use the tables for finding area under a normal curve!
Question 9 3 pts Household incomes in a certain state have mean $53,550 and a standard deviation $3,750 and the incomes follow a normal distribution. A randomly selected household from this state has an income of $58,050. The approximate percentile ranking for household income for this household is o 11.5% o 84.6% o 38.5% o 88.5%
Example 2.9 In a certain large city, household annual incomes are considered approximately normally distributed with a mean of s40,o00 and a standard deviation of s6,ooo. What proportion of households in the city have an annual income over $30,0oo? . If a random sample of 6o households were selected, how many of these households would we expect to have annual incomes . between $35,000 and $45,000?
The average monthly mortgage payment for all homeowners in a city follows a normal distribution with a mean of $2850 and a standard deviation of $420. Find the probability that the monthly mortgage paid by a randomly selected homeowner from this city is: less than $2100 more than $2600 between $3200 and $3700
population values has normal distribution with mean of 212.5 and standard deviation of 4.8. we get random sample of 40. a) find probability that a single value is greater than 200.3 b) find probability that a sample size n=40 randomly selected is greater than 200.3 sorry SD 4.8
3. The heights of all adults in a large city have an approximately normal distribution with a mean of 68 inches and a standard deviation of 4 inches. a) Find the probability that a randomly chosen height is less than 66 inches. b) Write the sampling distribution of sample mean for any sample size. Find the probability that the mean height of a random sample of 100 adults would be between 67.5 inches and 69 inches.
QUESTION PART A: A population of values has a normal distribution with μ=156μ=156 and σ=43.2σ=43.2. You intend to draw a random sample of size n=135n=135. Find the probability that a single randomly selected value is greater than 146.7. P(X > 146.7) = Find the probability that a sample of size n=135n=135 is randomly selected with a mean greater than 146.7. P(M > 146.7) = PART B: A company produces steel rods. The lengths of the steel rods are normally distributed...
the reading speed of second grade students in a large city is
approximately normal, with the mean of 89 words per minute (wpm)
and a standard deviation of 10 wpm
a.) what is the probability a randomly selected student in the
city will read more than 94 words per minute?
b.) what is the probability that a random sample of 11 second
grade students from the city results in a mean reading rate of more
than 94 words per minute?...
3. In a survey to estimate average household monthly medical expenses, 500 households were selected at random from a population of 5000 households. Of the selected households, 336 had children in the household and 164 had no children. A stratified subsample of 112 households with children and 41 households without children was then selected, and monthly medical expendi- ture data were collected from households in the subsample. For the households with deviation of 160; for the households without children, the...
1. From census data it is known that the average income of households in ABA County is $58,500. It is also known that the distribution of household income in ABA County is strongly skewed to the right with a standard deviation of $14,000. A researcher is going to randomly select a sample of 5 households from ABA County. Which of the following is true? Select all that apply. a. The sampling distribution of the mean will have a smaller standard...
Construct a 90% confidence interval for the population mean, μ. Assume the population has a normal distribution and interpret. A sample of 15 randomly selected math majors has a grade point average of 2.86 with a standard deviation of 0.78. • You must show the shaded region. • Give the calculator keystrokes for how you got the critical value for the regions. • You must show the formula for the appropriate confidence interval, show the plugging in of values, then...