Consider a paint-drying situation in which drying time for a test specimen is normally distributed with o = 7. The hypotheses Ho: µ = 73 and H: µ < 73 are to betested using a random sample of n = 25 observations.(a) How many standard deviations (of X) below the null value is x = 72.3? (Round your answer to two decimal places.)standard deviations(b) If x = 72.3, what is the conclusion using a = 0.006?%3DCalculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)z =P-value = (c) For the test procedure with a =0.006, what is B(70)? (Round your answer to four decimal places.)B(70) =

Given Xbar= 72.3 μ=73 standard deviation=7 n=25

Answered: onsider a paint-drying situation in…

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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O of 5 A random sample of 77 eighth grade students' scores on a national mathematics assessment test has a mean score of 273. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 270. Assume that the population standard deviation is 35. At a = 0.09, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). %3D (a) Write the claim mathematically and identify Ho and Ha. Choose the correct answer below. O A. Ho: μ2 270 (claim) Ha: В. Но: С. Но: u = 270 Ha: H = 270 (claim) Ha: H> 270 μ> 270 (claim) H 270 (claim) O E. Ho: µS 270 (claim) Hạ: H> 270 µ<270 Ha: μ2 270 (claim)
What is the estimated standard deviation of the difference scores? (four decimals)
Vehicle speed on a particular bridge in China can be modeled as normally distributed. USE SALT (a) If 5% of all vehicles travel less than 39.13 m/h and 10% travel more than 73.25 m/h, what are the mean and standard deviation of vehicle speed? (Round your answers to three decimal places.) mean 194.55 standard deviation 94.78 X X (b) What is the probability that a randomly selected vehicle's speed is between 50 and 65 m/h? (Round your answer to four decimal places.) 0.6576 X (c) What is the probability that a randomly selected vehicle's speed exceeds the speed limit of 70 m/h? (Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question.
onsider the following hypothesis test: H 0: 50 H a: > 50 A sample of 70 is used and the population standard deviation is 9. Use the critical value approach to state your conclusion for each of the following sample results. Use = .05. a. With = 52.5, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50?SelectYesNoItem 2 b. With = 51, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50?SelectYesNoItem 4 c. With = 51.8, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50?SelectYesNoItem 6
Vehicle speed on a particular bridge in China can be modeled as normally distributed. USE SALT (a) If 5% of all vehicles travel less than 39.15 m/h and 10% travel more than 73.23 m/h, what are the mean and standard deviation of vehicle speed? (Round your answers to three decimal places.) mean standard deviation (b) What is the probability that a randomly selected vehicle's speed is between 50 and 65 m/h? (Round your answer to four decimal places.) (c) What is the probability that a randomly selected vehicle's speed exceeds the speed limit of 70 m/h? (Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question.
#2
Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.036 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 57 U.S. cities is 0.039 microgram per cubic meter and the standard deviation is 0.067 microgram per cubic meter. At α=0.10, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. Question content area bottom Part 1 (a) Identify the claim and state H0 and Ha. H0: ▼ pp muμ sigma squaredσ2 sigmaσ ▼ not equals≠ greater than> less than or equals≤ less than< equals= greater than or equals≥ enter your response here Ha: ▼ muμ sigma squaredσ2 pp sigmaσ ▼ not equals≠ equals= greater than or equals≥ greater than> less than or equals≤ less than< enter your response here (Type integers or decimals. Do not round.) The claim is the ▼ null alternative…
Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.036 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 55 U.S. cities is 0.038 microgram per cubic meter and the standard deviation is 0.067 microgram per cubic meter. At α=0.10,can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. a. Identify Ho and Ha b. find the critical values and sket the rejection region c. calculate the test statistic d. Do you "reject the Ho" or "fail to reject Ha"? e. interpret results ( does it support or reject the claim)
7 Paulo Milk regularly check the performance of their milk bottle filling machines. From observations over many years, the company has concluded the fill amounts in their 2 litre bottles is normally distributed with a mean of 2.048 litres and a standard deviation of 0.054 litres. The fullest 15% of bottles would be expected to contain more than how many litres of milk? (3 decimal places)
Test the claim that the mean GPA of night students is smaller than 3 at the 0.10 significance level.Based on a sample of 30 people, the sample mean GPA was 2.99 with a standard deviation of 0.03The test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)
Arandom sample of 77 eighth grade students scores on a national mathematics assessment test has a mean score of 266. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 260. Assume that the population standard deviation is 37. At a= 0.13, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Hg and H,. Choose the correct answer below. OB. Hg u 260 D. Họ: us 260 H, > 260 (claim) O. H: u= 260 (claim) H, u> 260 OF. H: pa 260 (claim) H, p 260 (claim) (b) Find the standardized test statistic z, and ts corresponding area 2= 1.42 (Round to two decimal places as needed) (c) Find the P-value. Pvalue =D(Round to three decimal places as needed.)
Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.036 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 57 U.S. cities is 0.039 microgram per cubic meter and the standard deviation is 0.067 microgram per cubic meter. At α=0.10, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. Question content area bottom Part 1 (a) Identify the claim and state H0 and Ha. H0: muμ greater than or equals≥ 0.0360.036 Ha: muμ less than< 0.0360.036 (Type integers or decimals. Do not round.) The claim is the alternative hypothesis. Part 2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are t0=enter your response here. (Use a comma to separate answers as needed. Round to two decimal places as needed.)

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