A company attempts to evaluate the potential for a new bonus plan and decides to use the bonus plan for a trial period. The weekly sales volume achieved by a sample of 4 salespersons before and after implementing the bonus plan is shown below. (For the following matched samples, let the difference ? = After − Before.) Weekly Sales (in units)SalespersonBeforeAfter14844248403383644450Assume the population of differences is normally distributed. We State the hypotheses:?0:?d =0 ?A:?d ≠0(a) Compute the test statistic.(b) Use ? = 0.05. What is your conclusion? (multiple choice question) (A) ?0 is rejected. (B) ?0 is not rejected.

For the given data Perform paired t test

Answered: A company attempts to evaluate the…

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 company attempts to evaluate the potential for a new bonus plan and decides to use the bonus plan for a trial period. The weekly sales volume achieved by a sample of 4 salespersons before and after implementing the bonus plan is shown below. (For the following matched samples, let the difference ? = After − Before.)

	Weekly Sales (in units)
Salesperson	Before	After
1	48	44
2	48	40
3	38	36
4	44	50

Assume the population of differences is normally distributed. We State the hypotheses:

?₀:?_d =0
?_A:?_d ≠0

(a) Compute the test statistic.
(b) Use ? = 0.05. What is your conclusion? (multiple choice question)

(A) ?₀ is rejected.
(B) ?₀ is not rejected.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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