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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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Transcribed Image Text:1. A department store, A, has four competitors: B, C, D, and E. Store A hires a consultant to determine
if the percentage of shoppers who prefer each of the five (5) stores is the same. A survey with 1100
randomly selected shoppers is conducted, and below are the results of which one of the store's
shoppers prefer. Is there enough evidence using a significance level a = 0.05 to conclude that the
proportions are really the same? (7 items x 3 points)
Store
C
E
Number of Shoppers 262
234
204
190
210
The null hypothesis Ho:
The alternative hypothesis Ha:
The level of significance a =
d. The degrees of freedom:
The test statistic:
f.
a.
b.
C.
e.
The critical value:
Decision:
g.
2. Suppose that we have a 6-sided die. We assume that the die is unbiased (upon rolling the die, each
outcome is equally likely). An experiment is conducted in which the die is rolled 240 times, The
outcomes are in the table below. At a significance level of a = 0.05, is there enough evidence to
support the hypothesis that the die is unbiased? (7 items x 3 points)
Outcome
1
2.
3
4.
6.
Frequency
34
44
30
46
51
35
The null hypothesis H,:
b. The alternative hypothesis H:
The level of significance a =
a.
C.
The degrees of freedom:
The test statistic:
f.
d.
e.
The critical value:
Decision:
g.
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