When bonding teeth, orthodontists must maintain a dry field. A new bonding adhes

Question

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 = 5.62 Mpa and a standard deviation of s = 0.41 Mpa. Orthodontists want to know if the true mean breaking strength is less than 6.17 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. A. H_0: mu = 6.17 vs. H_a: p > 6.17 B. H_0: mu = 5.62 vs. H_a: mu notequalto 15.62 C. H_0: mu = 6.17 vs. H_a: mu notequalto 6.17 D. H_0: mu = 5.62 vs. H_a: mu

Explanation / Answer

a) Option E is Correct

b) Use excel fuction

T.INV(0.01,11) = -2.718

Test Statistic = ((5.62-6.17)/0.41)*Sqrt(12) = -4.65

d) Option D is Correct

e) Option B is Correct

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