A learn-to-type software program claims that it can improve your typing skills. To test the claim and possibly help yourself out, you and six of your friends decide to try the program and see what happens. Use the table below to construct an 80% confidence interval for the true mean change in the typing speeds for people who have completed the typing program. Let Population 1 be the typing speed before taking the program and Population 2 be the typing speed after taking the program. Round the endpoints of the interval to one decimal place, if necessary. Typing Speeds (in Words per Minute) Before After 32 33 51 42 55 40 35 32 54 33 45 30 50 52 After students were not doing so well in her history class, Mrs. Williams decided to try a different approach and use verbal positive reinforcement at least once everyhour. Use the following results to find a 95% confidence interval for the true mean change in the students' test scores after Mrs. Williams started using positivereinforcement. Assume that the population distribution of the paired differences is approximately normally distributed. Round to one decimal place.Student123456Students' Test ScoresWithout Reinforcement With Reinforcement407167734649458269925266

The given data is Students' Test Scores Student Without Reinforcement With…

Answered: After students were not doing so well…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A learn-to-type software program claims that it can improve your typing skills. To test the claim and possibly help yourself out, you and six of your friends decide to try the program and see what happens. Use the table below to construct an 80% confidence interval for the true mean change in the typing speeds for people who have completed the typing program. Let Population 1 be the typing speed before taking the program and Population 2 be the typing speed after taking the program. Round the endpoints of the interval to one decimal place, if necessary. Typing Speeds (in Words per Minute) Before After 32 33 51 42 55 40 35 32 54 33 45 30 50 52

After students were not doing so well in her history class, Mrs. Williams decided to try a different approach and use verbal positive reinforcement at least once every
hour. Use the following results to find a 95% confidence interval for the true mean change in the students' test scores after Mrs. Williams started using positive
reinforcement. Assume that the population distribution of the paired differences is approximately normally distributed. Round to one decimal place.
Student
1
2
3
4
5
6
Students' Test Scores
Without Reinforcement With Reinforcement
40
71
67
73
46
49
45
82
69
92
52
66

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 + ...

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