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Using the critical value approach, test the hypotheses H_0 T-Printing Inc. purch

ID: 903345 • Letter: U

Question

Using the critical value approach, test the hypotheses H_0 T-Printing Inc. purchases plastic cups on which to print logos for sporting events, proms, birthdays, a other special occasions. The owner received a large shipment this morning. To ensure the quality of shipment, he selected a random sample of 300 cups. He found 16 to be defective, What is the estimated proportion defective in the population? Develop a 95% confidence interval for the proportion defective. The owner has an agreement with his supplier that he is to return lots that are 8% or more defect. Should he return this lot? Explain your decision.

Explanation / Answer

Given [H+] = 0.00095

we know [H+][OH-] = 1*10^-14 at 25^0C

    [OH-] = 1*10^-14/0.00095 = 1.052*10^-11

Ph = -log[H+] = -log[0.00095] = 3.02

Poh = 14 - Ph = 14 - 3.02 = 10.98

............................................................................................................................

Given [OH-] = 6.3*10^-12

we know [H+][OH-] = 1*10^-14 at 25^0C

    [H+] = 1*10^-14/6.3*10^-12 = 1.59*10^-3

Ph = -log[H+] = -log[0.00159] = 2.8

Poh = 14 - Ph = 14 - 2.8 = 11.2

......................................................................................

Given Ph= 1.72

Ph = -log[H+]

[H+] = 10^(-1.72) = 0.01905 M

Poh = 14 - Ph = 14 - 1.72 = 12.28

[OH-] = 1*10^-14/0.01905 = 5.25*10^-13 M

......................................................................................

Given Poh= 12.02

Poh = -log[OH-]

[OH-] = 10^(-12.02) = 9.55*10^-13 M

Ph = 14 - Poh = 14 - 12.02 = 1.98

[H+] = 1*10^-14/9.55*10^-13 = 0.001047 M

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