MO22. A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean threadelongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis Hg: p = 12against H;: p < 12 using a random sample of n = 4 specimens. Calculate the P-value if the observed statistic is x= 11.5.Round your final answer to five decimal places. Show all the necessary solutions.P-value: Blank 1Blank 1Add your answer

It is given that Sample size n = 4 Sample mean M = 11.5 Population SD = 0.5

Answered: MO22. A textile fiber manufacturer is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Listed in the data table are amounts of strontium-90 (in millibecquerels, or mBq, per gram of calcium) in a simple random sample of baby teeth obtained from residents in two cities. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Use a 0.05 significance level to test the claim that the mean amount of strontium-90 from city #1 residents is greater than the mean amount from city #2 residents. Click the icon to view the data table of strontium-90 amounts. a. The test statistic is (Round to two decimal places as needed.) b. The P-value is (Round to three decimal places as needed.)
Listed in the data table are amounts of strontium-90 (in millibecquerels, or mBq, per gram of calcium) in a simple random sample of baby teeth obtained from residents in two cities. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Use a 0.05 significance level to test the claim that the mean amount of strontium-90 from city #1 residents is greater than the mean amount from city #2 residents. Click the icon to view the data table of strontium-90 amounts. What are the null and alternative hypotheses? Assume that population 1 consists of amounts from city #1 levels and population 2 consists of amounts from city #2. OA. Ho: H₁ H₂ H₁: Hy > H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ More Info City #1 106 86 121 118 101 20 104 213 130 290 100 277 145 Print City #2 117 63 100 85 87 107 110 111 143 133 101 209 Done ~ X OB. Ho: ₁₂ H₁: Hy > H₂ OD. Ho Hi#H H₁: H₁ H₂
Sheldon is the manager for Kara Tyres. He suspects that the claim that their tyres can go the minimum of 13800 km without being worn out is incorrect. He is going to address this issue in his annual report. He has sampled a group of 25 tyres, and calculated that the average kilometers that his sample of tyres can go before being worn out is 13690, with the sample standard deviation of 110 km. What should Sheldon write in his annual report at 0.01 significance level?
A major car ürer wants tô tést á ñew engine to determine whether it meets air pollution standards. The mean emission of all engines of this type must be less than 20 ppm of carbon. 10 engines are setup for testing and produce an average emission of 17.57 ppm with a sample standard deviation of 2.95. Can the manufacturer be certain within a level of significance of 0.01 that his engine's average emissions are less than 20 ppm. Use a = 0.01, a. Setup the null and alternate hypothesis b. Choose an appropriate test statistic, fill in the all of the information, and solve for the test statistic. C. Would you reject or not reject Ho, demonstrate why you made your choice. d. Based on your analysis above, can the manufacturer be certain his engines meet the specification? Make an appropriate statement.
An avionics company uses a new production method to manufacture aircraft altimeters. A single random sample of new altimeters resulted in the errors listed below. Use a 5% significance level to test the claim that the new production method has errors with a standard deviation greater than 32.2 ft, which was the standard deviation for the old production model (o). If it appears that the standard deviation is greater, does the new production method appear to be better or worse than the old method? Should the company take any action? -42 78 -22 -72 -45 15 17 51 -5 -53 -9 -109 Find the upper and lower boundaries of the 95% confidence interval for o. 98 37 32 73 89
The average test score at a university is 78 with a standard deviation of 5. A professor believes the average test score of students in his class is different form 78. If a sample of 102 students was selected with a sample mean score of 79.1 and our level of significance is set at .05: What is the standard error of the mean? What is the calculated test statistic (zobt). Compute effect size using Cohen’s d
A laboratory claims that the mean sodium level, u, of a healthy adult is 143 mEq per liter of blood. To test this claim, a random sample of 50 adult patients is evaluated. The mean sodium level for the sample is 140 mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 10 mEq. Can we conclude, at the 0.1 level of significance, that the population mean adult sodium level differs from that claimed by the laboratory? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)
A random sample of 25 people has a sample mean height of 70 inches and a sample standard deviationof 4 inches. Confirm or reject the hypothesis H0:  = 68 inches (H1:  ≠ 68 inches) using  = 0.05.
The population standard deviation of strengths of steel bars produced by a large manufacturer is 2.95. To meet tighter specifications engineers are trying to reduce the variability of the process. A sample of 28 bars gives a sample standard deviation of 2.65. Assume that the strengths of steel bars are normally distributed. Is there evidence at the 5% level of significance that the standard deviation has decreased?

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