Question

In: Statistics and Probability

Two suppliers manufacture a plastic gear used in a laser printer. A feature important in these...

Two suppliers manufacture a plastic gear used in a laser printer. A feature important in these gears is the impact resistance, which is measured in pounds per square foot. A random sample of 10 gears supplied by the first supplier gives the following results: x̅̅1̅ = 290 and s1 = 12. A random sample of 15 gears is taken from the second supplier and the results are x̅̅2̅ = 321 and s2 = 15.

a) Is there evidence to supports the claim that the supplier 2 gears has a greater average resistance to impact? Use α = 0.05 and assume that the variances of the two populations are different.

b) Calculate the probability of committing a type II error in a) if the true mean resistances to the Impacts are μ1 = 292 and μ2 = 318 pounds per square foot. Estimate the population variances using the sample variances and use α = 0.05.

c) Does the data support the claim that the average impact strength of the supplier's gears 2 is at least 20 pounds per square foot greater than the one corresponding to supplier 1? Use α = 0.05 and suppose that the variances of the two populations are different.

d) Calculate the probability of committing a type II error in c) if the true average resistance to Impacts are μ1 = 292 and μ2 = 318 pounds per square foot. Estimate the population variances using the sample variances and use α = 0.05.

Solutions

Expert Solution

a)


Related Solutions

Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these...
Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears measured in foot-pounds is an important characteristic. A random sample of 10 gears from supplier 1 results in x1 = 290 and s1 = 12, and another random sample of 16 gears from the second supplier results in x2 = 292 and s2 = 22. Do the data support the claim that the mean impact strength of gears from supplier 2 is at...
Two suppliers manufacture a plastic gear used in a laser printer. The impact of these gears...
Two suppliers manufacture a plastic gear used in a laser printer. The impact of these gears measured in foot-pounds is an important characteristic. Assume the impact strength are normally distributed. A random sample of 10 gears from supplier 1 results in = 289.3 and = 22.5. Another sample of 16 gears from supplier 2 result in = 321.5 and = 21. It is claimed that supplier 2 provide gears with higher mean impact strength. Perform the hypothesis test at significance...
Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these...
Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears measured in foot-pounds is an important characteristic. A random sample of 10 gears from supplier 1 results in  and s1=14 while another random sample of 16 gears from the second supplier results in   and s2=23. Is there sufficient evidence to conclude that the variance of impact strength is different for the two suppliers? Use Which one? The variances of impact strength significantly differ at the...
Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these...
Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears measured in foot-pounds is an important characteristic. A random sample of 10 gears from supplier 1 results in =289.30 and s1=22.5, and another random sample of 16 gears from the second supplier results in =322.10 and s2=21. Use only Table II of Appendix A. (a) Is there evidence to support the claim that supplier 2 provides gears with higher mean impact strength? Use...
The two companies manufacture a piece of plastic used in automobile production. This plastic piece is...
The two companies manufacture a piece of plastic used in automobile production. This plastic piece is subject to wear during use. Therefore, it is desired to compare the amount of wear of plastic parts produced by the two companies. Friction wear was applied by taking samples of 25 units randomly from both companies and after 1000 cycles wear amounts were observed. The average wear for the first company was 20 mg / 1000 cycles and the standard deviation of wear...
A) Pyridine is a weak base that is used in the manufacture of pesticides and plastic...
A) Pyridine is a weak base that is used in the manufacture of pesticides and plastic resins. It is also a component of cigarette smoke. Pyridine ionizes in water as follows: C5H5N+H2O⇌C5H5NH++OH− The pKb of pyridine is 8.75. What is the pH of a 0.205 M solution of pyridine? Express the pH numerically to two decimal places. B) Benzoic acid is a weak acid that has antimicrobial properties. Its sodium salt, sodium benzoate, is a preservative found in foods, medications,...
Pyridine is a weak base that is used in the manufacture of pesticides and plastic resins....
Pyridine is a weak base that is used in the manufacture of pesticides and plastic resins. It is also a component of cigarette smoke. Pyridine ionizes in water as follows: C5H5N+H2O⇌C5H5NH++OH− The pKb of pyridine is 8.75. What is the pH of a 0.500 M solution of pyridine? Express the pH numerically to two decimal places. Part B Benzoic acid is a weak acid that has antimicrobial properties. Its sodium salt, sodium benzoate, is a preservative found in foods, medications,...
Pyridine is a weak base that is used in the manufacture of pesticides and plastic resins....
Pyridine is a weak base that is used in the manufacture of pesticides and plastic resins. It is also a component of cigarette smoke. Pyridine ionizes in water as follows: C5H5N+H2O⇌C5H5NH++OH− The pKb of pyridine is 8.75. What is the pH of a 0.405 Msolution of pyridine? (Assume that the temperature is 25 ∘C.) Benzoic acid is a weak acid that has antimicrobial properties. Its sodium salt, sodium benzoate, is a preservative found in foods, medications, and personal hygiene products....
Pyridine is a weak base that is used in the manufacture of pesticides and plastic resins....
Pyridine is a weak base that is used in the manufacture of pesticides and plastic resins. It is also a component of cigarette smoke. Pyridine ionizes in water as follows: C5H5N+H2O⇌C5H5NH++OH− a) The pKb of pyridine is 8.75. What is the pH of a 0.440 M solution of pyridine? Benzoic acid is a weak acid that has antimicrobial properties. Its sodium salt, sodium benzoate, is a preservative found in foods, medications, and personal hygiene products. Benzoic acid dissociates in water:...
1) Pyridine is a weak base that is used in the manufacture of pesticides and plastic...
1) Pyridine is a weak base that is used in the manufacture of pesticides and plastic resins. It is also a component of cigarette smoke. Pyridine ionizes in water as follows: C5H5N+H2O⇌C5H5NH++OH− The pKb of pyridine is 8.75. What is the pH of a 0.310 M solution of pyridine? Express the pH numerically to two decimal places 2)Benzoic acid is a weak acid that has antimicrobial properties. Its sodium salt, sodium benzoate, is a preservative found in foods, medications, and...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT