In: Statistics and Probability
1. Categorize these measurements associated with student life according to level: nominal, ordinal, interval, or ratio.
1 (a) Length of time to complete a test
a)nominal
b)ordinal
c)interval
d) ratio
1(b) Time of first class
a) nominal
b) ordinal
c) interval
d) ratio
1(c) Major field of study
a) nominal
b) ordinal
c) interval
d) ratio
1(d) Course evaluation scale: poor, acceptable, good
a) nominal
b) ordinal
c) interval
d) ratio
1(e) Score on last test (based on 100 possible points)
a) nominal
b) ordinal
c) interval
d) ratio
1(f) Age of student
a) nominal
b) ordinal
c) interval
d)ratio
2. Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Enter a number. Round your answer to four decimal places.)
μ = 20; σ = 4.2
P(x ≥ 30) = ______
3. Compute P5,4. (Enter an exact number.) =______
(a) ratio
Reason : Since this a quantitative variable and true zero exists, which means someone who rook 60 minutes is twice as much as someone who took 30 minutes. we say it is ratio test.
(b) interval
Reason : Since rhe variable is in intervals of time, the measure is interval
(c) nominal
Reason : Since the variable is qualitative and there is no order or ranking of variable it is nominal data.
(d) ordinal
Reason : Since the variable is qualitative and there is exists ranking of variable, it is ordinal data.
(e) ratio
Reason : Since this a quantitative variable and true zero exists, we say it is ratio test.
(f) ratio
Reason : Since this a quantitative variable and true zero exists, we say it is ratio test.
2.
We know that,
z = (30 - 20)/4.2
z = 2.3809
P(z ≥ 2.3809) = 1 - P(z ≥ 2.3809)
= 1 - 0.9914
= 0.0086
3.
P(5,4) = (5*4*3*2*1)/(1)
= 120