A. Since our test statistic is less extreme than our critical value, we fail to reject the null hypothesis and conclude that there is a no evidence of a difference in the true mean time it takes a balloon to hit the floor between the two sealing methods. B. Since our test statistic is more extreme than our critical value, we fail to reject the null hypothesis and conclude that there is a no evidence of a difference in the true mean time it takes a balloon to hit the floor between the two sealing methods. C. Since our test statistic is less extreme than our critical value, we reject the null hypothesis and conclude that there is a difference in the true mean time it takes a balloon to hit the floor between the two sealing methods. D. Since our test statistic is more exseme than our critical value, we reject the null hypothesis and conclude that there is a difference in the true mean time it takes a balloon to hit the floor between the two sealing methods. A friend of yours is trying to make a living selling helium-filled balloons. You think this might not be the smartest idea, but are glad to help when he asks. He wants to know whether there is a difference between using a self-seal balloon or a heat-sealed balloon to create long-lasting helium-filled balloons. Since he has quite a few of each type on hand, you randomly select 55 self-sealing balloons and 34 heat-sealed balloons. You then inflate each of them and leave them in a room, and record the time it takes for each balloon to hit the floor. You find that for the self sealing balloons, the average time is 3.2 days with a standard deviation of 1.1 days. For the heat-sealed balloons, the average time is 3.9 days with a standard deviation of 1.5 days. Let us be the true mean time it takes for a self-sealed balloon to hit the floor. Let uy be the true mean time it takes for a heat-sealed balloon to hit the floor. Test whether or not there is a difference between sealing methods in time it takes the balloon to hit the floor at and alpha = 0.05 level. What is the null hypothesis? [ Select] What is the alternative hypothesis? (Select] What is the test statistic? [ Select] What is the critical value?[ Select] Which of the below is the correct conclusion in context? [ Select ]

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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A. Since our test statistic is less extreme than our critical value, we fail to reject the null hypothesis
and conclude that there is a no evidence of a difference in the true mean time it takes a balloon to
hit the floor between the two sealing methods.
B. Since our test statistic is more extreme than our critical value, we fail to reject the null hypothesis
and conclude that there is a no evidence of a difference in the true mean time it takes a balloon to
hit the floor between the two sealing methods.
C. Since our test statistic is less extreme than our critical value, we reject the null hypothesis and
conclude that there is a difference in the true mean time it takes a balloon to hit the floor between
the two sealing methods.
D. Since our test statistic is more exseme than our critical value, we reject the null hypothesis and
conclude that there is a difference in the true mean time it takes a balloon to hit the floor between
the two sealing methods.
Transcribed Image Text:A. Since our test statistic is less extreme than our critical value, we fail to reject the null hypothesis and conclude that there is a no evidence of a difference in the true mean time it takes a balloon to hit the floor between the two sealing methods. B. Since our test statistic is more extreme than our critical value, we fail to reject the null hypothesis and conclude that there is a no evidence of a difference in the true mean time it takes a balloon to hit the floor between the two sealing methods. C. Since our test statistic is less extreme than our critical value, we reject the null hypothesis and conclude that there is a difference in the true mean time it takes a balloon to hit the floor between the two sealing methods. D. Since our test statistic is more exseme than our critical value, we reject the null hypothesis and conclude that there is a difference in the true mean time it takes a balloon to hit the floor between the two sealing methods.
A friend of yours is trying to make a living selling helium-filled balloons. You think this might not be
the smartest idea, but are glad to help when he asks. He wants to know whether there is a difference
between using a self-seal balloon or a heat-sealed balloon to create long-lasting helium-filled
balloons. Since he has quite a few of each type on hand, you randomly select 55 self-sealing balloons
and 34 heat-sealed balloons. You then inflate each of them and leave them in a room, and record the
time it takes for each balloon to hit the floor. You find that for the self sealing balloons, the average
time is 3.2 days with a standard deviation of 1.1 days. For the heat-sealed balloons, the average time
is 3.9 days with a standard deviation of 1.5 days.
Let us be the true mean time it takes for a self-sealed balloon to hit the floor.
Let uy be the true mean time it takes for a heat-sealed balloon to hit the floor.
Test whether or not there is a difference between sealing methods in time it takes the balloon to hit
the floor at and alpha = 0.05 level.
What is the null hypothesis? [ Select]
What is the alternative hypothesis? (Select]
What is the test statistic? [ Select]
What is the critical value?[ Select]
Which of the below is the correct conclusion in context?
[ Select ]
Transcribed Image Text:A friend of yours is trying to make a living selling helium-filled balloons. You think this might not be the smartest idea, but are glad to help when he asks. He wants to know whether there is a difference between using a self-seal balloon or a heat-sealed balloon to create long-lasting helium-filled balloons. Since he has quite a few of each type on hand, you randomly select 55 self-sealing balloons and 34 heat-sealed balloons. You then inflate each of them and leave them in a room, and record the time it takes for each balloon to hit the floor. You find that for the self sealing balloons, the average time is 3.2 days with a standard deviation of 1.1 days. For the heat-sealed balloons, the average time is 3.9 days with a standard deviation of 1.5 days. Let us be the true mean time it takes for a self-sealed balloon to hit the floor. Let uy be the true mean time it takes for a heat-sealed balloon to hit the floor. Test whether or not there is a difference between sealing methods in time it takes the balloon to hit the floor at and alpha = 0.05 level. What is the null hypothesis? [ Select] What is the alternative hypothesis? (Select] What is the test statistic? [ Select] What is the critical value?[ Select] Which of the below is the correct conclusion in context? [ Select ]
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