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When bonding teeth, orthodontists must maintain a dry field. A new bonding adhesive has been developed to eliminate the necessity of a dry field. However, there is concern that the new bonding adhesive is not as strong as the current standard, a composite adhesive. Tests on a sample of 12 extracted teeth bonded with the new adhesive resulted in a meal breaking strength (after 24 hours) of x=4.56 Mpa and a standard deviation of s=0.49 Mpa. Orthodontists want to know if the true mean breaking strength is less than 5.09 Mpa, the mean breaking strength of the composite adhesive. a. Set up the null and alternative hypotheses for the test. Choose the correct answer below OA. Ho 5.09 vs. H₂5.09 OC. H₂=4.56 vs. H₂ μ#4.56 OB. H₂=5.09 vs. H₂ µ<5.09 OD. H₂-p=4.56 vs. H₂:p*4.56 OF. H₂ 25.09 vs. H₂ µ*5.09 OE H₂p=5.09 vs. H₂5.09 b. Find the rejection region for the test using a=0.05. Choose the correct answer below. OA. 1-2201 OC. t>2.201 OB. 1-2201 OD. 1-1.798 OF. t-1.798 OH. 11.796 OE tx1.796 OG. 1<2.201 c. Compute the test statistic 1=(Round to two decimal places as needed.) d. Give the appropriate conclusion for the test. Choose the correct answer below. OA. Do not reject H. There is insufficient evidence to indicate <5.09 Mpa OB. Reject Ho. There is sufficient evidence to indicate <5.09 Mpa. OC. Reject H₂. There is insufficient evidence to indicate μ< 5.09 Mpa. OD. Do not reject H. There is sufficient evidence to indicate <5.09 Mpa e. What conditions are required for the test results to be valid? OA. We must assume that the sample was not random and selected from a population with a highly skewed distribution OC. We must assume that the sample was not random and selected from a normally distributed population. OB. We must assume that the sample was random and selected from a population with a distribution that is approximately normal OD. We must assume that the sample was random and selected from a population that is highly skewed

When bonding teeth, orthodontists must maintain a dry field. A new bonding adhesive has been developed to eliminate the necessity of a dry field. However, there is concern that the new bonding adhesive is not as strong as the current standard, a composite adhesive. Tests on a sample of 12 extracted teeth bonded with the new adhesive resulted in a meal breaking strength (after 24 hours) of x=4.56 Mpa and a standard deviation of s=0.49 Mpa. Orthodontists want to know if the true mean breaking strength is less than 5.09 Mpa, the mean breaking strength of the composite adhesive. a. Set up the null and alternative hypotheses for the test. Choose the correct answer below OA. Ho 5.09 vs. H₂5.09 OC. H₂=4.56 vs. H₂ μ#4.56 OB. H₂=5.09 vs. H₂ µ<5.09 OD. H₂-p=4.56 vs. H₂:p*4.56 OF. H₂ 25.09 vs. H₂ µ*5.09 OE H₂p=5.09 vs. H₂5.09 b. Find the rejection region for the test using a=0.05. Choose the correct answer below. OA. 1-2201 OC. t>2.201 OB. 1-2201 OD. 1-1.798 OF. t-1.798 OH. 11.796 OE tx1.796 OG. 1<2.201 c. Compute the test statistic 1=(Round to two decimal places as needed.) d. Give the appropriate conclusion for the test. Choose the correct answer below. OA. Do not reject H. There is insufficient evidence to indicate <5.09 Mpa OB. Reject Ho. There is sufficient evidence to indicate <5.09 Mpa. OC. Reject H₂. There is insufficient evidence to indicate μ< 5.09 Mpa. OD. Do not reject H. There is sufficient evidence to indicate <5.09 Mpa e. What conditions are required for the test results to be valid? OA. We must assume that the sample was not random and selected from a population with a highly skewed distribution OC. We must assume that the sample was not random and selected from a normally distributed population. OB. We must assume that the sample was random and selected from a population with a distribution that is approximately normal OD. We must assume that the sample was random and selected from a population that is highly skewed

MATLAB: An Introduction with Applications
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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When bonding teeth, orthodontists must maintain a dry field. A new bonding adhesive has been developed to eliminate the necessity of a dry field. However, there is concern that the new bonding adhesive is not as strong as the current standard, a composite adhesive. Tests on a sample of 12 extracted teeth bonded with the new adhesive resulted in a mean breaking strength (after 24 hours) of x=4.56 Mpa and a standard deviation of s=0.49 Mpa. Orthodontists want to know if the true mean breaking strength is less than 5.09 Mpa, the mean breaking strength of the composite adhesive. a. Set up the null and alternative hypotheses for the test. Choose the correct answer below. OA. H₂=5.09 vs. H₁₂:µ*5.09 OC. H₂p=4.56 vs. H₂:p #4.56 OB. H₂=5.09 vs. H₂ -5.00 OD. Hg: 4.56 vs. H₂-μ*4.56 OF H₂: 25.09 vs. H₂H*5.09 OE. H₁: p=5.09 vs. H₂-μ*5.09 b. Find the rejection region for the test using a = 0.05. Choose the correct answer below. OA. <-2201 OB. 1-2201 OD. 1-1.798 OC. t>2.201 OE. 1.796 OF 1-1.798 OH. 1*1.796 OG I<2.201 c. Compute the test statistic. t=(Round to two decimal places as needed.) d. Give the appropriate conclusion for the test. Choose the correct answer below. O A. Do not reject H₂. There is insufficient evidence to indicate <5.09 Mpa. OB. Reject Ho. There is sufficient evidence to indicate <5.09 Mpa. OC. Reject H₂. There is insufficient evidence to indicate <5.09 Mpa. OD. Do not reject H. There is sufficient evidence to indicate <5.09 Mpa. e. What conditions are required for the test results to be valid? OA. We must assume that the sample was not random and selected from a population with a highly skewed distribution. OC. We must assume that the sample was not random and selected from a normally distributed population. OB. We must assume that the sample was random and selected from a population with a distribution that is approximately normal. O D. We must assume that the sample was random and selected from a population that is highly skewed.
Transcribed Image Text:When bonding teeth, orthodontists must maintain a dry field. A new bonding adhesive has been developed to eliminate the necessity of a dry field. However, there is concern that the new bonding adhesive is not as strong as the current standard, a composite adhesive. Tests on a sample of 12 extracted teeth bonded with the new adhesive resulted in a mean breaking strength (after 24 hours) of x=4.56 Mpa and a standard deviation of s=0.49 Mpa. Orthodontists want to know if the true mean breaking strength is less than 5.09 Mpa, the mean breaking strength of the composite adhesive. a. Set up the null and alternative hypotheses for the test. Choose the correct answer below. OA. H₂=5.09 vs. H₁₂:µ*5.09 OC. H₂p=4.56 vs. H₂:p #4.56 OB. H₂=5.09 vs. H₂ -5.00 OD. Hg: 4.56 vs. H₂-μ*4.56 OF H₂: 25.09 vs. H₂H*5.09 OE. H₁: p=5.09 vs. H₂-μ*5.09 b. Find the rejection region for the test using a = 0.05. Choose the correct answer below. OA. <-2201 OB. 1-2201 OD. 1-1.798 OC. t>2.201 OE. 1.796 OF 1-1.798 OH. 1*1.796 OG I<2.201 c. Compute the test statistic. t=(Round to two decimal places as needed.) d. Give the appropriate conclusion for the test. Choose the correct answer below. O A. Do not reject H₂. There is insufficient evidence to indicate <5.09 Mpa. OB. Reject Ho. There is sufficient evidence to indicate <5.09 Mpa. OC. Reject H₂. There is insufficient evidence to indicate <5.09 Mpa. OD. Do not reject H. There is sufficient evidence to indicate <5.09 Mpa. e. What conditions are required for the test results to be valid? OA. We must assume that the sample was not random and selected from a population with a highly skewed distribution. OC. We must assume that the sample was not random and selected from a normally distributed population. OB. We must assume that the sample was random and selected from a population with a distribution that is approximately normal. O D. We must assume that the sample was random and selected from a population that is highly skewed.
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