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Classify each of the following first as qualitative or quantitative and second as nominal,
ordinal, interval or ratio measure.
a) temperatures of 22 selected refrigerators
b) hair color of women on a high school tennis team
c) numbers on the shirts of a girl’s soccer team
d) ages of students in a statistics class
e) number of pages in your statistics book
f) list of 1247 social security numbers
g) the ratings of a movie ranging from “poor” to “good” to “excellent”
h) the final grades (A,B,C,D, and F) for students in a chemistry class
i) the nationalities listed in a recent survey
j) the amount of fat (in grams) in 44 cookies
Classify the following sentences as belonging to the area of descriptive statistics or
inferential statistics.
a) As a result of recent cutbacks by oil-producing nations, we can expect the price
of gasoline todouble in the next year.
b) At least 5% of all killings reported last year in city X were due to tourists.
c) Of all patients who received this particular type of drug at a clinic Y, 75%
later developedsignificant side effect.
a) The average age of the students in a statistics class is 21 years.
b) Adane concludes that his chance of passing the first year this academic year is at
least 80% basedon the statistics that 75% of the freshmen passed last year.
Given the following propositions.
Let A : Mohammad is Malaysian.
Let B : Lucy is Italian.
Formalize the following sentences using propositional logic.
i. Lucy isn’t Italian. (1 mark)
ii. If Mohammad is Italian then Mohammad is not Malaysian. (1 mark)
iii. Muhammad is Malaysian or if Mohammad isn’t Malaysian then Lucy is Italian.
(2 marks)
iv. Either Mohammad is Malaysian and Lucy is Italian, or neither Mohammad is not
Malaysian nor is Lucy Italian.
A box contains 8 balls. One is numbered 2, two are numbered 3, one is numbered 4, and four are numbered 5. The balls are mixed and one is selected at random. After a ball is selected, its number is recorded. Then it is replaced. If the experiment is repeated many times, find the variance of the numbers on the balls. (Round off your final answer to 2 decimal places).
3400 dollars is placed in an account with an annual interest rate of 8.25%. How much will be in the account after 25 years, to the nearest cent?
A certain store has four ways of handling returns: cash refund, credit to account, exchange, or refusal. The manager claims that the four ways are equally probable to test this hypothesis, 108 customers were sampled with the following results
Type
Cash
Credit
exchange
Refusal
Count
34
27
32
15
Does the data support the managers claim at 5 %. (6mk
prove that sin (degree(m)) is an algebraic number of any integer m.
prove that sin (degree(1)) is an algebraic number
prove that the product of two algebraic integers is an algebraic integers
It is the most common model for relative frequencies of a continuous random variable.
