The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter ofmillimeters 21.21 mm. A sample of 41 nickles was drawn from a reported defective coin-countermachine located near a school. The sample had a sample mean of 21.214 mm and sample standarddeviation 0.011 mm.Test the claim that the mean nickel diameter accepted by this coin-counter machine is greater than21.21 mm. Test at the 0.01 significance level.(a) Identify the correct alternative hypothesis Hạ:Ou > 21.21u = 21.21µ < 21.21Give all answers correct to 4 decimal places.(b) The test statistic value is:(c) Using the Traditional method, the critical value is(round to 2 decimal places) :(d) Based on your answers above, do you:Reject HoO Fail to reject Ho(e) Explain your choice in the box below.(f) Based on your work above, choose one of the following conclusions of your test:There is sufficient evidence to warrant rejection of the claimThere is not sufficient evidence to warrant rejection of the claimThere is not sufficient evidence to support the claimO The sample data supports the claim

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Answered: deviation 0.011 mm. Test the claim that…

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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What sample size is needed to give a margin of error within±0.8 in estimating a population mean with 90% confidence, assuming a previous sample had s = 25. Round your answer up to the nearest integer. sample size = i
You wish to test the following claim (Ha) at a significance level of a = 0.001. Ho:μ = 90.9 Ha:μ > 90.9 You believe the population is normally distributed and you know the standard deviation is o = 15.2. You obtain a sample mean of M = 97.7 for a sample of size n = 39. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... o less than (or equal to) a Ogreater than a This test statistic leads to a decision to... o reject the null O accept the null o fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 90.9. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 90.9. The sample data support the claim that the population mean is greater than 90.9. There…
In order to test the claim that the mean drive speed (Km/hr) of adults in a known highway in a city is at most 75 Km/hr, a sample of 40 adult drivers was taken and resulted a sample mean of 85 Km/hr. If the population standard deviation is 35 Km/hr, perform the test with a level of significance a = 0.05 using the P-value approach. 1. The mull and alternative hypotheses are A. Ho : u 75 and H : u 75 D. Ho : 2 75 and H, : p< 75 2. Test statistic value = (approximate to two decimal places) D. 1.81 A. -1.81 B. 0.29 C. 0.29 3. P-value = A. 0.0702 (approximate to four decimal places) B. 0.1404 C. 0.9298 D. 0.0351 4. The decision of the test: A. Reject Ho, there is a strong evidence that the adults mean drive speed is less than 75 Km/hr. B. Do not reject Ho, there is no evidence that the adults mean drive speed is more than 75 Km/hr. C. Reject Ho, there is a strong evidence that the adults mean drive speed is more than 75 Km/hr. D. Do not reject Ho, there is a strong evidence that the adults…
What does brand loyalty mean to consumers? According to a recent research report, 38% of consumers associate trust with brand loyalty. Complete parts (a) through (e) below. a. To conduct a follow-up study that would provide 95% confidence that the point estimate is correct to within ±0.04 of the population proportion, how large a sample size is required? A sample size of 566566 consumers is required. (Round up to the nearest integer.) b. To conduct a follow-up study that would provide 99% confidence that the point estimate is correct to within ±0.04 of the population proportion, how many people need to be sampled? A sample size of 978978 consumers is needed. (Round up to the nearest integer.) c. To conduct a follow-up study that would provide 95% confidence that the point estimate is correct to within ±0.02 of the population proportion, how large a sample size is required? A sample size of 22632263 consumers is…
A sample of 42 observations is selected from a normal population. The sample mean is 41, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.05 significance level. H0: μ = 43 H1: μ ≠ 43 What is your decision regarding H0? multiple choice 3 Fail to reject H0 Reject H0 e-1. What is the p-value? (Round your z value to 2 decimal places and final answer to 4 decimal places.) e-2. Interpret the p-value? (Round your z value to 2 decimal places and final answer to 2 decimal places.)
You wish to test the following claim (Ha) at a significance level of a = 0.002. Ho: p=61.8 Ha : μ < 61.8 You believe the population is normally distributed and you know the standard deviation is o = 13.8. You obtain a sample mean of M = 56.3 for a sample of size n = 43. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
7. A sample of size N= 123 adults randomly selected, spent 8.20 hr/ week on the internet with a standard deviation of 6=9.84 hr. Construct a Confidence Interval of 95% for the population mean U the population mean hours for the internet ?
A random sample of 25 observations selected from this population gave a mean equal to 143.72. The population is known to have a normal distribution with the standard deviation of 14.8. Using a 95% confidence level. Determine the following : a) the reliability factor. b) standard error. c) point estimate of mean d) confidence interval of mean.
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Various temperature measurements are recorded at different times for a particular city. The mean of 20°C is obtained for 60 temperatures on 60 different days. Assuming that Η = 1.5°C, test the claim that the population mean is 22°C. Use a 0.05 significance level.
Assume that a sample is used to estimate a population mean P. u. Find the margin of error M.E. that corresponds to a sample of size 25 with a mean of 23.3 and a standard deviation of 4.7 at a confidence level of 95%. M.O.E (Round to 2 decimals) *** Use critical value = 2.06
4. In a test of the hypothesis Ho : u = 10 versus H. : 4 # 10, a sample of n = I = 10.8 and standard deviation s = 3.1. 50 observations possessed mean (a) Find an interpret the p-value for this test and answer a question regarding the interpretation of the result if a = 0.10. The p-value is (Fill in the blank; round to four decimal places, as needed.) You should find one of the following useful: P(z > 2.311) z 0.0104 P(z 1.825) z 0.0340 P(z < 1.431) z 0.9238 "There is sufficient evidence to reject Họ for a = 0.10." TRUE or FALSE (Circle the correct answer.) (b) Use the rejection region approach for part A. Why is this result equivalent to the p-value method? Draw a picture and/or explain in words. You should find one of the following useful: 2, 10 1.282 z.0, 1.645 2025 1.96 01 2.326 2005 2.576 Bonus (4 points). Suppose that instead of n = 50 observations, you were only able to attain a sample of n = 15 observations. In this case, compute the test statistic and provide the recipe for…
Use the accompanying 200 Los Angeles commute times to test the claim that the mean Los Angeles commute time is less than 32 minutes. Assume that a simple random sample has been selected. Use a 0.10 significance level. Compare the sample mean to the claimed mean of 32 minutes. Is the difference between those two values statistically significant? 451030302050151520254513402045151550251045151051560302020251542204540601520570104535126030307103010606035304510306010204520255515201210485254530903025203010253020903020151583025720306030102052520406020251590141520203545304040301045606025155725606060301515509010302520202030153053510404530104030453020401412040251020154015353060251053015601560303045154525103010153010283010301028153035452030 Identify the null and alternative hypotheses. H0: ▼ sigmaσ muμ pp ▼ equals= greater than> not equals≠ less than< enter your response here H1: ▼ sigmaσ pp muμ ▼ equals= less than< not equals≠ greater than> enter…

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