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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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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
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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