explain in simple terms. Two different tablet presses are used to formulate slow-release tablets with a QTTP

 explain in simple terms.

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Two different tablet presses are used to formulate slow-release tablets with a QTTP of 16 mg API per tablet. The tableting process can be assumed to be normal, with standard deviations of 1 = 0.015 and 02 = 0.018. The FDA compliance team wants to confirm the dosage delivered per tablet is the same for the two tableting presses (Ma- chine 1 and Machine 2). Random samples of tablets are taken from the output of each press and an API analysis is done and shown to the right. 1. State the hypotheses that should be tested in this experiment. 2. Test the hypotheses using a = 0.05. Find the P-value for this test and the 95% confidence interval on the difference in mean API dosage for the two machines. 3. Test the hypotheses again, assuming that the population variances were not specified (0₁ and 2 unknown), but they are otherwise assumed to be equal. Find the P-value 4. If the mean tablet API dose formulated using the two machines differ by as much as 0.02 mg, what is the power of the test used above? What sample size would result in a power of at least 0.9 if, again, mean tablet API dose using the two machines differ by 0.02 mg,? 5. Looking just at the data for Machine 1, test the hypotheses that it provides a dose of 16 mg API per tablet. Machine 1 Machine 2 16.03 16.01 16.02 16.03 16.04 15.96 15.97 16.04 16.05 15.98 15.96 16.02 16.05 16.02 16.01 16.01 16.02 15.99 15.99 16.00 in Excel, the functions T. INV and NORM. S. INV can be used in place of table lookups in the text. In Matlab, sampsizepwr can do power and sample size calculations. See the help files for all these useful functions. Two different tablet presses are used to formulate slow-release tablets with a QTTP of 16 mg API per tablet. The tableting process can be assumed to be normal, with standard deviations of 1 = 0.015 and 02 = 0.018. The FDA compliance team wants to confirm the dosage delivered per tablet is the same for the two tableting presses (Ma- chine 1 and Machine 2). Random samples of tablets are taken from the output of each press and an API analysis is done and shown to the right. 1. State the hypotheses that should be tested in this experiment. 2. Test the hypotheses using a = 0.05. Find the P-value for this test and the 95% confidence interval on the difference in mean API dosage for the two machines. 3. Test the hypotheses again, assuming that the population variances were not specified (0₁ and 2 unknown), but they are otherwise assumed to be equal. Find the P-value 4. If the mean tablet API dose formulated using the two machines differ by as much as 0.02 mg, what is the power of the test used above? What sample size would result in a power of at least 0.9 if, again, mean tablet API dose using the two machines differ by 0.02 mg,? 5. Looking just at the data for Machine 1, test the hypotheses that it provides a dose of 16 mg API per tablet. Machine 1 Machine 2 16.03 16.01 16.02 16.03 16.04 15.96 15.97 16.04 16.05 15.98 15.96 16.02 16.05 16.02 16.01 16.01 16.02 15.99 15.99 16.00 in Excel, the functions T. INV and NORM. S. INV can be used in place of table lookups in the text. In Matlab, sampsizepwr can do power and sample size calculations. See the help files for all these useful functions.

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1 The hypotheses that should be tested in this experiment are H 0 1 2 0 H 1 1 2 0 2 The ... View the full answer