Two different types of injection-molding machines are used to form plastic parts. A part is considered defective if it has excessiveshrinkage or is discolored. Two random samples, each of size 300, are selected, and 15 defective parts are found in the sample frommachine 1, while 8 defective parts are found in the sample from machine 2. Suppose that p₁ -0.05 and p2 -0.01.(a) With the sample sizes given, what is the power of the test for this two sided alternative? Power =Round your answer to three decimal places (e.g. 98.765).(b) Determine the sample size needed to detect this difference with a probability of at least 0.9. Use a = 0.05.n=Round your answer up to the nearest integer.Statistical Tables and Charts

Given Information: Machine 1: Sample size n1=300 Number of defectives x1=15 Proportion p1=0.05…

Answered: Two different types of…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

See similar textbooks

Similar questions

In analyzing the consumption of cottage cheese by members of various occupational groups, the United Dairy Industry Association found that 326 of 837 professionals seldom or never ate cottage cheese, versus 220 of 489 white-collar workers and 522 of 1243 blue-collar workers (Sheet 53). Assuming independent samples, use the 0.03 level in testing the null hypothesis that the population proportions could be the same for the three occupational groups. Sheet 53 Group 1 Group 2 Group 3 Total seldom or never 326 220 522 1068 often 511 269 721 1501 Total 837 489 1243 2569 Select one: a) chi-square stat = 4.81, crit. value = 7.01, fail to reject H0, population proportions are not different b) p-value = 0.09, reject H0, population proportions are not different c) chi-square stat = 4.81, crit. value = 9.2, fail to reject H0, population proportions are not different d) p-value = 0.029, reject H0, population proportions different
Two different types of injection-molding machines are used to form plastic parts. A part is considered defective if has excessive shrinkage or is discolored. Two random samples, each of size 300, are selected, and 15 defective parts are found in the sample from machine 1, and 8 defective parts are found in the sample from machine 2. Is it reasonable to conclude that both machines produce the same fraction of defective parts, using a = 0.10.
in a city a,20% of a random sample of a 900 school boys had a slight certain physical defect. in another city b,18.5% of a random sample of 1600 school boys had the same defect.is the difference between the proportions is significant?
suppose you and a friend each take different random samples of data pairs (x,y) from the same popuation. Assumethe samples are the same size. Based on your samples, you compute r=0.83. Based on her sample, your friend computes r=0.79. Is your friends value for r wrong?
Two different types of injection-molding machines are used to form plastic parts. A part is considered defective if it has excessive shrinkage or is discolored. Two random samples, each of size 300, are selected, and 16 defective parts are found in the sample from machine 1, while 8 defective parts are found in the sample from machine 2. Is it reasonable to conclude that both machines produce the same proportion of defective parts? Use a = 0.05. (a) Test the hypothesis Ho: P₁ = P2 verses H₁: P₁ P2. What is zo? Round your answer to two decimal places (e.g. 98.76). Zo = (b) Is it reasonable to conclude that both machines produce the same proportion of defective parts?
Two different types of injection-molding machines are used to form plastic parts. A part is considered defective if it has excessive shrinkage or is discolored. Two random samples, each of size 300, are selected, and 16 defective parts are found in the sample from machine 1, while 8 defective parts are found in the sample from machine 2. Is it reasonable to conclude that both machines produce the same proportion of defective parts? Use a = 0.05. (a) Test the hypothesis Ho: P1 = P2 verses H;: P1 # P2. What is zg? Round your answer to two decimal places (e.g. 98.76). Zo = (b) Is it reasonable to conclude that both machines produce the same proportion of defective parts? Statistical Tables and Charts
37.
A random sample of 1200 apples was taken from a large consignment and found that 10% of them are bad. The supplier claims that only 2% are bad. Test his claim.
35.
Two different types of injection-molding machines are used to form plastic parts. A part is considered defective if has excessive shrinkage or is discolored. Two random samples, each of size 300, are selected, and 15 defective parts are found in the sample from machine 1, and 8 defective parts are found in the sample from machine 2. Is it reasonable to conclude that both machines produce the same fraction of defective parts, using a = 0.10. a. Fail to reject the Null Hypothesis. -1.96 -1.96 c. Fail to reject the Null Hypothesis. -1.65 < 1.49 < 1.65 O d. None among the choices
The chemical benzene is highly toxic to humans. However, it is used in the manufacture of many medicine dyes, leather, and coverings. Government regulations dictate that for any production process involving benzene, the water in the output of the process must not exceed 7,950 parts per million (ppm) of benzene. For a particular process of concern, the water sample was collected by a manufacturer 25 times randomly and the sample average x was 7960 ppm. It is known from historical data that the standard deviation o is 100 ppm. (a) What is the probability that the sample average in this experiment would exceed the government limit if the population mean is equal to the limit? (b) Is an observed x = 7960 in this experiment a firm evidence that the population mean for the process exceeds the government limit? Assume that the distribution of benzene concentration is normal.
In a random sample of 320 cars driven at low altitude, 40 of them exceeded the standard 10 grams of particulate pollution per gallon of fuel consumed. In another independent random sample of 80 cars driven at high altitude, 20 of them exceeded the standard. Let P 1be the true proportion of cars that exceed the standard in low altitudes and P 2be the true proportion of cars that exceed the standard in high altitudes. What is the test statistic for testing this hypothesis.

SEE MORE QUESTIONS

Recommended textbooks for you

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Holt Mcdougal Larson Pre-algebra: Student Edition…

Algebra

ISBN:

9780547587776

Author:

HOLT MCDOUGAL

Publisher:

HOLT MCDOUGAL

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Holt Mcdougal Larson Pre-algebra: Student Edition…

Algebra

ISBN:

9780547587776

Author:

HOLT MCDOUGAL

Publisher:

HOLT MCDOUGAL

SEE MORE TEXTBOOKS