Answered: A market research firm used a sample of…

Purchase Rating

Purchase Rating

Individual

Before

Individual

Before

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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PLEASE ANSWER ASAP. A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new television commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating a higher purchase potential. The null hypothesis stated that the mean rating "after" would be less than or equal to the mean rating "before." Rejection of this hypothesis would show that the commercial improved the mean purchase potential rating. Use a=0.05 and the following data to test the hypothesis and comment on the value of the commercial.

What are the hypotheses?

Compute d (to 3 decimals)

Compute sd (to 1 decimal).

What is the p-value?

What is your decision?

A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new television
commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating a higher purchase potential. The null
hypothesis stated that the mean rating "after" would be less than or equal to the mean rating "before." Rejection of this hypothesis would show that the commercial
improved the mean purchase potential rating. Use a = = 0.05 and the following data to test the hypothesis and comment on the value of the commercial.
What are the hypotheses?
Ho: Md is
- Select your answer -
Ha: Md is
Compute ā (to 3 decimals).
- Select your answer -
Compute sa (to 1 decimal).
What is the p-value?
The p-value is - Select your answer -
V
Individual
1
2
3
4
Purchase Rating
Before
After
6
6
8
4
What is your decision?
✓ - Select your answer -
Cannot conclude seeing the commercial improves the mean potential to purchase
Seeing the commercial improves the mean potential to purchase
5
4
8
st
4
O
Individual
5
6
7
8
Purchase Rating
Before
After
3
9
7
6
4
7
5
7

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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