the scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean μ=536.1μ=536.1 and standard deviation σ=27.9σ=27.9.
(a) What is the probability that a single student randomly
chosen from all those taking the test scores 540 or higher?
ANSWER:
For parts (b) through (d), consider a simple random sample (SRS) of
35 students who took the test.
(b) What are the mean and standard deviation of the sample mean
score x¯x¯, of 35 students?
The mean of the sampling distribution for x¯x¯
is:
The standard deviation of the sampling distribution for x¯x¯
is:
(c) What z-score corresponds to the mean score x¯x¯ of
540?
ANSWER:
(d) What is the probability that the mean score x¯x¯ of these
students is 540 or higher?
ANSWER:
In: Math
A qualifying exam for a graduate school program has a math section and a verbal section. Students receive a score of 1, 2, or 3 on each section. Define X as a student’s score on the math section and Y as a student’s score on the verbal section. Test scores vary according to the following bivariate probability distribution.
|
y |
||||
|---|---|---|---|---|
| 1 | 2 | 3 | ||
| 1 | 0.22 | 0.33 | 0.05 | |
| x | 2 | 0.00 | 0.08 | 0.20 |
| 3 | 0.07 | 0.05 | 0.00 |
μXX = , and μYY =
σXX = , and σYY =
The covariance of X and Y is ________ . The coefficient of correlation is _________ . The variables X and Y_______ independent.
The expected value of X + Y is_______ , and the variance of X + Y is ________________ .
To be accepted to a particular graduate school program, a student must have a combined score of 4 on the qualifying exam.
What is the probability that a randomly selected exam taker qualifies for the program?
0.46
0.33
0.47
0.45
Chebysheff’s Theorem states that the proportion of observations in any population that lie within k standard deviations of the mean is at least 1 – 1 / k² (for k > 1).
According to Chebysheff’s Theorem, there is at least a 0.75 probability that a randomly selected exam taker has a combined score between_______ and_______ .
In: Math
In: Finance
During the Great Plague of 1665 in London, medical experts claimed that smoking tobacco would prevent a person from catching the disease. Even school children were ordered to smoke during class, and one boy at Eton was whipped for refusing to smoke. What effect did this have on the market for tobacco? Use a supply and demand diagram to explain.
In: Economics
During the Great Plague of 1665 in London, medical experts claimed that smoking tobacco would prevent a person from catching the disease. Even school children were ordered to smoke during class, and one boy at Eton was whipped for refusing to smoke.What effect did this have on the market for tobacco? Use a supply and demand diagram to explain.(15%)
In: Economics
The pandemic we’re currently living through has impacted all aspects of our lives – work, school, health, family interaction, social connections, recreation and others. In which aspect have you felt the impact of Covid 19 the most? In what ways has it impacted that particular aspect of your life? Write an 5 paragraph essay.
In: Economics
a. Explain the five (5) product levels in the Customer
Value
Hierarchy.
b. As a Marketing Consultant employed by Wisconsin International
University College, and using the Customer Value Hierarchy as your
framework, advise the management of the school about five (5)
strategies, with justification, they may need to employ at the
different product levels in order to achieve their organizational
objective.
In: Accounting
Determine the level of measurement for each of the variables: Nominal, Ordinal, Interval - Ratio
a) Number of people in family
b) Percentage of university students who attend public school
c) The rating of the overall quality of a textbook from excellent to poor
d) Your annual income
e) The presidential candidate you voted for
f) Your age
In: Statistics and Probability
Respond to the following in a minimum of 175 words: Imagine that you’ve been asked to explain 1 of the major accounting ratios to a group of high school students who have no background in business or accounting but are eager to learn. Using the term Current Ratio describe how you would explain it in your own words, using a specific example.
In: Accounting
In: Finance