QUESTION 3 Bob believes a box of numbered tickets has an average of 40. Sue believes the average is bigger than that. They draw 400 tickets from the box. The tickets they draw have an average of 48 with a standard deviation of about 35. Sue says, "See? What we drew averaged to 48, way over 40. I think the average of the box is more the "That is just the luck of the draw. Of course sometimes what we draw will average over 40, and sometimes what we draw will average under 40. After all, the standard deviation of our draw is 35. State the Null hypothesis and Alternative Hypothesis. Ⓒ11=40 >40 Ⓒ11>40 IIμ=40 ⒸHx=40 #:x>40 O>40 QUESTION 4 Continued. Which test we should use here? one sample t-test O two sample z-test O one sample 2-test O two sample t-test QUESTION S Continued. The test statistics is O 5.47 4.57 O 7.45 00

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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QUESTION 3
Bob believes a box of numbered tickets has an average of 40. Sue believes the average is bigger than that. They draw 400 tickets from the box. The tickets they draw have an average of 48 with a standard deviation of about 35. Sue says, "See? What we drew averaged to 48, way over 40. I think the average of the box is more than 40." Bob says,
"That is just the luck of the draw. Of course sometimes what we draw will average over 40, and sometimes what we draw will average under 40. After all, the standard deviation of our draw is 35." State the Null hypothesis and Alternative Hypothesis.
ⒸH₁ μ = 40
H:μ> 40
HI>40
H₂:μ=40
a
H: x =40
H :x>40
a
Ho">40
H :u=40
QUESTION 4
Continued. Which test we should use here?
one sample t-test
two sample z-test
one sample z-test
O two sample t-test
QUESTION 5
Continued. The test statistics is
O 5.47
O 4.57
7.45
0
Transcribed Image Text:QUESTION 3 Bob believes a box of numbered tickets has an average of 40. Sue believes the average is bigger than that. They draw 400 tickets from the box. The tickets they draw have an average of 48 with a standard deviation of about 35. Sue says, "See? What we drew averaged to 48, way over 40. I think the average of the box is more than 40." Bob says, "That is just the luck of the draw. Of course sometimes what we draw will average over 40, and sometimes what we draw will average under 40. After all, the standard deviation of our draw is 35." State the Null hypothesis and Alternative Hypothesis. ⒸH₁ μ = 40 H:μ> 40 HI>40 H₂:μ=40 a H: x =40 H :x>40 a Ho">40 H :u=40 QUESTION 4 Continued. Which test we should use here? one sample t-test two sample z-test one sample z-test O two sample t-test QUESTION 5 Continued. The test statistics is O 5.47 O 4.57 7.45 0
QUESTION 1
Consider the following hypotheses from the classical court of law example.
Ho : not guilty
Ha : guilty
Two errors that can be made by the jury are:
(1) Letting a truly guilty person go free.
(2) Letting a truly innocent person go to jail.
Which is a Type I error? Which is a Type II error?
O (1) Type I error
(2) Type II error
Ⓒ (1) Type II error
(2) Type I error
O (1) Type I error
(2) Type III error
O None of the above
QUESTION 2
A coin is tossed 1000 times and lands heads 462 times. The coin landed heads only about 46% of the time-if the coin is fair, can this be explained by chance variation?
O P-value= 0.87%, so we reject the null hypothesis.
O P-value= 0.87%, so we fail reject the null hypothesis.
OP-value= 8.7%, so we fail reject the null hypothesis.
O P-value= 8.7%, so we reject the null hypothesis.
Transcribed Image Text:QUESTION 1 Consider the following hypotheses from the classical court of law example. Ho : not guilty Ha : guilty Two errors that can be made by the jury are: (1) Letting a truly guilty person go free. (2) Letting a truly innocent person go to jail. Which is a Type I error? Which is a Type II error? O (1) Type I error (2) Type II error Ⓒ (1) Type II error (2) Type I error O (1) Type I error (2) Type III error O None of the above QUESTION 2 A coin is tossed 1000 times and lands heads 462 times. The coin landed heads only about 46% of the time-if the coin is fair, can this be explained by chance variation? O P-value= 0.87%, so we reject the null hypothesis. O P-value= 0.87%, so we fail reject the null hypothesis. OP-value= 8.7%, so we fail reject the null hypothesis. O P-value= 8.7%, so we reject the null hypothesis.
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