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When sample sizes are not equal, the non centrality parameter is
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Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
- An engineer wants to know if producing metal bars using a new experimental treatment rather than the conventional treatment makes a difference in the tensile strength of the bars (the ability to resist tearing when pulled lengthwise). At α=0.02, answer parts (a) through (e). Assume the population variances are equal and the samples are random. If convenient, use technology to solve the problem. Treatment Tensile strengths (newtons per square millimeter) Experimental 400 413 434 409 420 377 392 Conventional 381 446 436 350 404 354 375 361 355 386 (a) Identify the claim and state H0 and Ha. The claim is "The new treatment ▼ makes a difference does not make a difference in the tensile strength of the bars." What are H0 and Ha? The null hypothesis, H0, is ▼ mu 1 equals mu 2μ1=μ2 mu 1 less than or equals mu 2μ1≤μ2 mu 1 greater than or equals mu 2μ1≥μ2 . The alternative…arrow_forwardAn engineer wants to know if producing metal bars using a new experimental treatment rather than the conventional treatment makes a difference in the tensile strength of the bars (the ability to resist tearing when pulled lengthwise). At x = 0.10, answer parts (a) through (e). Assume the population variances are equal and the samples are random. If convenient, use technology to solve the problem. Treatment Tensile strengths (newtons per square millimeter) Experimental 380 418 441 409 373 402 417 Conventional 360 432 394 412 397 353 426 448 415 366 (a) Identify the claim and state Ho and Ha The claim is "The new treatment in the tensile strength of the bars." What are Ho and Ha? The null hypothesis, Ho, is Which hypothesis is the claim? The null hypothesis, Ho The alternative hypothesis, Ha (b) Find the critical value(s) and identify the rejection region(s). Enter the critical value(s) below. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate…arrow_forward3. In a test of Ho: µ = 85 against Ha: µ > 85, the sample data vield the sample statistic z = 1.64. Find %3D the p-value for the test.arrow_forward
- Determine μx Mz -= and ox μ = 61, o = 10, n = 31 = from the given parameters of the population and sample size. ox (Round to three decimal places as needed.)arrow_forwardHow to work number 8arrow_forwardOne company's bottles of grapefruit juice are filled by a machine that is set to dispense an average of 180 milliliters (ml) of liquid. A quality-control inspector must check that the machine is working properly. The inspector takes a random sample of 40 bottles and measures the volume of liquid in each bottle. We want to test Hg: μ = 180 Ha: 180 where μ = the true mean volume of liquid dispensed by the machine. The mean amount of liquid in the bottles is 179.6 ml and the standard deviation is 1.3 ml. A significance test yields a P-value of 0.0589. Interpret the P-value. Assuming the true mean volume of liquid dispensed by the machine is 180 ml, there is a 0.0589 probability of getting a sample mean of 179.6 just by chance in a random sample of 40 bottles filled by the machine. Assuming the true mean volume of liquid dispensed by the machine is 180 ml, there is a 0.0589 probability of getting a sample mean at least as far from 180 as 179.6 (in either direction) just by chance in a…arrow_forward
- An engineer wants to know if producing metal bars using a new experimental treatment rather than the conventional treatment makes a difference in the tensile strength of the bars (the ability to resist tearing when pulled lengthwise). At α=0.10, answer parts (a) through (e). Assume the population variances are equal and the samples are random. If convenient, use technology to solve the problem. Treatment Tensile strengths (newtons per square millimeter) Experimental 449 354 450 360 433 388 400 Conventional 370 376 374 424 378 450 438 404 352 376 (a) Identify the claim and state H0 and Ha. The claim is "The new treatment ▼ makes a difference does not make a difference in the tensile strength of the bars." What are H0 and Ha? The null hypothesis, H0, is ▼ mu 1 equals mu 2μ1=μ2 mu 1 less than or equals mu 2μ1≤μ2 mu 1 greater than or equals mu 2μ1≥μ2 . The alternative hypothesis, Ha,…arrow_forwardve this Claim: μ<4815; a= 0.05 Sample statistics: x=4917, s = 5501, n = 52 Ha: μ 4815 (Type integers or decimals. Do not round.) Find the standardized test statistic t. t = 0.13 (Round to two decimal places as needed.) Find the P-value. P = 0.551 (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer Ho. There enough evidence at the % level of significance to Get more help - Q Search P Pearson چار ? EE! reject Copyright © 2023 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions Contact Us O support the claim. Clear allarrow_forward18.40 (EX) Magnets for pain relief 1/5: A randomized, double-blind experiment studied whether magnetic fields applied over a painful area can reduce pain intensity. The subjects were 50 volunteers with postpolio syndrome who reported muscular or arthritic pain. The pain level when pressing a painful area was graded subjectively on a scale from 0 to 10 (0 is no pain, 10 is maximum pain). Patients were randomly assigned to wear either a magnetic device or a placebo device over the painful area for 45 minutes. Here is a summary of the pain scores for this experiment, expressed as means ± standard deviations: Magnetic device Place device (n=29) (n=21) Pretreatment 9.6 ± 0.7 9.5 ± 0.8 Posttreatment 4.4 ± 3.1 8.4 ± 1.8 1.1 ± 1.6 Change 5.2 + 3.2 Is there good evidence that the magnetic device is better than a placebo equivalent at reducing pain? Let μ₁ and μ₂ be the mean change in pain for patients given the magnetic device or the placebo device, respectively. State hypotheses for the…arrow_forward
- Need help with part and b and c. I added the data and the questionarrow_forwardIdentify the ff: 1.) What is the Test Static (ANOVA, t-test, z-test, chi-square) 2.) Computed Value 3.) p-valuearrow_forwardAccording to a researcher, the average level of mercury uptake in wading birds in Everglades has declined over the past several years. Ten years ago, the average level was 15 parts per million (ppm). Suppose we are interested in testing whether the average level today is less than 15 ppm. Describe the type I error for the test of hypothesis. O The mean mercury level is equal to 15 ppm when in fact the mean is less than 15 ppm. O The mean mercury level is less than 15 ppm when in fact the mean is equal to 15 ppm. O The mean mercury level is greater than 15 ppm when in fact the mean is equal to 15 ppm.arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill