Answered: Hypothesis Testing: a. What are given?…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Hypothesis Testing:

a. What are given? What is asked?

b. State the Ho and Ha in words and symbols

c. What is the test statistic to be used? Tail of the distribution?

d. The critical (or tabular value), the decision rule to be used, draw the graph and shade the rejection region

e. Computation of test statistic

f. Decision

g. Make a conclusion

Question: Eight (8) randomly selected students in a BSFT class were asked to score a candy mix before and after an ingredient was added for the improvement of the taste of the candy. The following are the scores obtained from the students. At 5% level of significance, test if the ingredient added has improved the taste of the candy based on the data. Assume that the difference in the before and after scores is approximately normally distributed. (Use difference ? = ?2 − ?1. Note that if the student judged that the taste was improved, the difference will be greater than zero.)

Data:

(Use difference d = X₂ - X₁. Note that if the student judged that the taste was improved,
the difference will be greater than zero.)
Student A B
Before (X₁) 72 68
After (X₂)
77 74
CD E F G
84
68
73 87 68
80
66
H
76
80

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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