You are tasked with determining whether a 6-sided die is fair (that is, that each number 1 through 6 has an equal chance of getting rolled). To test this, the die was rolled 300 times and the following data was collected. Number Times Rolled ================================ 41 54 31 60 67 #47 1 2 ~ 34 #5 6 4 Using a 5% significance level, is the die fair? [yn] Answer 'no' if the data suggests that the die is not fair. Answer 'yes' if the data gives no reason to suspect that the die is unfair.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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You are tasked with determining whether a 6-sided die is fair (that is, that each number 1 through 6 has an equal chance of getting rolled). To
test this, the die was rolled 300 times and the following data was collected.
sets
Number Times Rolled
========
1
2
3
4
115
===
6
41
54
31
60
67
47
Using a 5% significance level, is the die fair? [yn]
Answer 'no' if the data suggests that the die is not fair. Answer 'yes' if the data gives no reason to suspect that the die is unfair.
Transcribed Image Text:You are tasked with determining whether a 6-sided die is fair (that is, that each number 1 through 6 has an equal chance of getting rolled). To test this, the die was rolled 300 times and the following data was collected. sets Number Times Rolled ======== 1 2 3 4 115 === 6 41 54 31 60 67 47 Using a 5% significance level, is the die fair? [yn] Answer 'no' if the data suggests that the die is not fair. Answer 'yes' if the data gives no reason to suspect that the die is unfair.
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