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 nevw bonding adhesive is not as strong as the current standard, a composite adhesive. Tests on a sample of 10 extracted teeth bonded with the new adhesive resulted in a mean breaking strength (after 24 hours) of x: 5.07 Mpa and a standard deviation of s = .46 Mpa. Orthodontists want to know if the true mean breaking strength of the new bonding adhesive is less than 5.70 Mpa, the mean breaking a. Set up the null and alternative hypothesis for the test. b. Find the rejection region for the test using α-001 c. Compute the test statistic | d. Give the appropriate conclusion for the test e. What conditions are required the test results to be valid? strength of the composite adhesive.

Question

Part b, c, d

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 nevw
bonding adhesive is not as strong as the current standard, a composite adhesive. Tests on a
sample of 10 extracted teeth bonded with the new adhesive resulted in a mean breaking strength
(after 24 hours) of x: 5.07 Mpa and a standard deviation of s = .46 Mpa. Orthodontists want to
know if the true mean breaking strength of the new bonding adhesive is less than 5.70 Mpa, the
mean breaking
a. Set up the null and alternative hypothesis for the test.
b. Find the rejection region for the test using α-001
c. Compute the test statistic |
d. Give the appropriate conclusion for the test e. What conditions are required the test results to
be valid?
strength of the composite adhesive.

Image Transcription

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 nevw bonding adhesive is not as strong as the current standard, a composite adhesive. Tests on a sample of 10 extracted teeth bonded with the new adhesive resulted in a mean breaking strength (after 24 hours) of x: 5.07 Mpa and a standard deviation of s = .46 Mpa. Orthodontists want to know if the true mean breaking strength of the new bonding adhesive is less than 5.70 Mpa, the mean breaking a. Set up the null and alternative hypothesis for the test. b. Find the rejection region for the test using α-001 c. Compute the test statistic | d. Give the appropriate conclusion for the test e. What conditions are required the test results to be valid? strength of the composite adhesive.

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Hypothesis Testing

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