One hundred teachers attended a seminar on mathematical problem solving. The attitudes of a representative sample of 12 of the teachers were measured before and after the seminar. A positive number for change in attitude indicates that a teacher’s attitude toward math became more positive. The 12 change scores are as follows: 3;8;-1; 2; 0; 5;-3; 1;-1; 6; 5;-2 a. What is the mean change score? b. What is the standard deviation for this population? C. What Is the median change score? d. Find the change score that is 2.2 standard deviations below the mean.
One hundred teachers attended a seminar on mathematical problem solving. The attitudes of a representative sample of 12 of the teachers were measured before and after the seminar. A positive number for change in attitude indicates that a teacher’s attitude toward math became more positive. The 12 change scores are as follows: 3;8;-1; 2; 0; 5;-3; 1;-1; 6; 5;-2 a. What is the mean change score? b. What is the standard deviation for this population? C. What Is the median change score? d. Find the change score that is 2.2 standard deviations below the mean.
One hundred teachers attended a seminar on mathematical problem solving. The attitudes of a representative sample of 12 of the teachers were measured before and after the seminar. A positive number for change in attitude indicates that a teacher’s attitude toward math became more positive. The 12 change scores are as follows:
3;8;-1; 2; 0; 5;-3; 1;-1; 6; 5;-2
a. What is the mean change score?
b. What is the standard deviation for this population?
C. What Is the median change score?
d. Find the change score that is 2.2 standard deviations below the mean.
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
Consider an event X comprised of three outcomes whose probabilities are 9/18, 1/18,and 6/18.
Compute the probability of the complement of the event.
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Part 1
A.1/2
B.2/18
C.16/18
D.16/3
John and Mike were offered mints. What is the probability that at least John or Mike would respond favorably? (Hint: Use the classical definition.)
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Part 1
A.1/2
B.3/4
C.1/8
D.3/8
The details of the clock sales at a supermarket for the past 6 weeks are shown in the table below. The time series appears to be relatively stable, without trend, seasonal, or cyclical effects. The simple moving average value of k is set at 2. What is the simple moving average root mean square error? Round to two decimal places.
Week
Units sold
1
88
2
44
3
54
4
65
5
72
6
85
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Part 1
A.
207.13
B.
20.12
C.
14.39
D.
0.21
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