A gambler complained about the dice. They seemed to be loaded! The dice were taken off the table and tested one at a time. One die was rolled 300 times and the following frequencies were recorded. Outcome 2 4 Observed frequency 65 48 59 31 43 54 Do these data indicate that the die is unbalanced? Use a 1% level of significance. Hint: If the die is balanced, all outcomes should have the same expected frequency. (a) What is the level of significance? 0.01 State the null and alternate hypotheses. Họ: The distributions are different. H1: The distributions are the same. Họ: The distributions are the same. H1: The distributions are the same. O Ho: The distributions are the same. H1: The distributions are different. Ho: The distributions are different. H1: The distributions are different. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) Are all the expected frequencies greater than 5? Yes No What sampling distribution will you use? normal uniform O chi-square Student's t What are the degrees of freedom?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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A gambler complained about the dice. They seemed to be
loaded! The dice were taken off the table and tested one at a
time. One die was rolled 300 times and the following
frequencies were recorded.
Outcome
2
4
Observed frequency
65
48
59
31
43
54
Do these data indicate that the die is unbalanced? Use a 1%
level of significance. Hint: If the die is balanced, all outcomes
should have the same expected frequency.
(a) What is the level of significance?
0.01
State the null and alternate hypotheses.
Họ: The distributions are different.
H1: The distributions are the same.
Họ: The distributions are the same.
H1: The distributions are the same.
O Ho: The distributions are the same.
H1: The distributions are different.
Ho: The distributions are different.
H1: The distributions are different.
(b) Find the value of the chi-square statistic for the
sample. (Round the expected frequencies to at least three
decimal places. Round the test statistic to three decimal
places.)
Are all the expected frequencies greater than 5?
Yes
No
What sampling distribution will you use?
normal
uniform
O chi-square
Student's t
What are the degrees of freedom?
Transcribed Image Text:A gambler complained about the dice. They seemed to be loaded! The dice were taken off the table and tested one at a time. One die was rolled 300 times and the following frequencies were recorded. Outcome 2 4 Observed frequency 65 48 59 31 43 54 Do these data indicate that the die is unbalanced? Use a 1% level of significance. Hint: If the die is balanced, all outcomes should have the same expected frequency. (a) What is the level of significance? 0.01 State the null and alternate hypotheses. Họ: The distributions are different. H1: The distributions are the same. Họ: The distributions are the same. H1: The distributions are the same. O Ho: The distributions are the same. H1: The distributions are different. Ho: The distributions are different. H1: The distributions are different. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) Are all the expected frequencies greater than 5? Yes No What sampling distribution will you use? normal uniform O chi-square Student's t What are the degrees of freedom?
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