Ax² goodness of fit test it to be used with a significance level of 5%. a) Find the probability of scoring a six when rolling the novelty die. b) Find the probability of scoring more than 2 sixes when this die is rolled 5 times. c) i) Find the expected frequency for each of the numbers if the manufacture's claim is true. ii) Write down the null and alternative hypothesis. iii) State the degrees of freedom for the test. iv) Determine the conclusion of the test, clearly justify your answer.
Ax² goodness of fit test it to be used with a significance level of 5%. a) Find the probability of scoring a six when rolling the novelty die. b) Find the probability of scoring more than 2 sixes when this die is rolled 5 times. c) i) Find the expected frequency for each of the numbers if the manufacture's claim is true. ii) Write down the null and alternative hypothesis. iii) State the degrees of freedom for the test. iv) Determine the conclusion of the test, clearly justify your answer.
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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Transcribed Image Text:5) A dice manufacturer claims that for a novelty die he produces the probability of scoring the numbers 1 to 5
are all equal, and the probability of a 6 is two times the probability of scoring any of the other numbers. To test
the manufacture's claim one of the novelty dice is rolled 350 times and the numbers scored on the die are shown
in the table below.
Number scored
1
2
3
4
5
6
Frequency
32
57
47
58
54
102
Ax² goodness of fit test it to be used with a significance level of 5%.
a) Find the probability of scoring a six when rolling the novelty die.
b) Find the probability of scoring more than 2 sixes when this die is rolled 5 times.
c)
i) Find the expected frequency for each of the numbers if the manufacture's
claim is true.
ii) Write down the null and alternative hypothesis.
iii) State the degrees of freedom for the test.
iv) Determine the conclusion of the test, clearly justify your answer.
(3)
(C
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