The probability that a household has an annual income of less than $ 50 , 000 using following table which is based on a survey of annual incomes in 100 households . Income $ 0 − 24 , 999 $ 25 , 000 − 49 , 999 $ 50 , 000 − 74 , 999 $ 75 , 000 − 99 , 999 $ 100 , 000 or more Number of households 22 23 17 12 26
The probability that a household has an annual income of less than $ 50 , 000 using following table which is based on a survey of annual incomes in 100 households . Income $ 0 − 24 , 999 $ 25 , 000 − 49 , 999 $ 50 , 000 − 74 , 999 $ 75 , 000 − 99 , 999 $ 100 , 000 or more Number of households 22 23 17 12 26
Definition Definition For any random event or experiment, the set that is formed with all the possible outcomes is called a sample space. When any random event takes place that has multiple outcomes, the possible outcomes are grouped together in a set. The sample space can be anything, from a set of vectors to real numbers.
Chapter 13.3, Problem 65AYU
To determine
To calculate: The probability that a household has an annual income of less than $50,000 using following table which is based on a survey of annual incomes in 100 households .
A statistics instructor at a large western university would like to examine the relationship (if any)
between the number of optional homework problems students do during the semester and their final
course grade. She randomly selects 12 students for study and asks them to keep track of the number of
these problems completed during the course of the semester. At the end of the class each student's
total is recorded along with their final grade.
Problems 57
85
91
78
72
58
62
65
68
76
77
78
84
78
73
76
75
Grade
62
68
66
66
67
72
73
1.
For this setting identify the response variable. For this setting, identify the predictor variable.
2. Find the following
a. Compute the linear correlation coefficient r for this data set.
b. Test for a significant linear correlation.
c. Classify the direction and strength of the correlation.
i. Direction:
ii. Strength:
d. Equation of the least-squares regression line.
What is the valid prediction range for this setting? 000
e.
f. Test the significant of the…
QUESTION 3. STATISTICS. An analyst in the real estate business is interested in the relationship
between the cost of the monthly rent of an apartment and the size of an apartment, in big cities. She
gathers data for apartment buildings in 12 cities in 12 different states. In each city, she gets the
numbers for at least 5 different buildings and at least 40 apartments in each building. She reaches the
following conclusion: the rental cost of a 2-bedroom apartment is 50% more than the rental cost of a
1-bedroom apartment, and the rental cost of a 3-bedroom apartment is 50% more than the rental
cost of a 2-bedroom apartment.
Based on the paragraph, what is the minimum number of apartments she collected data on?
Do you think her sample was large enough to be statistically valid?
Based on the paragraph, are there any apartments or apartment buildings that she would have excluded
from her study?
Do you see any bias in how she selected apartments for her study?
Based on the paragraph, is…
University Calculus: Early Transcendentals (3rd Edition)
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