A random sample of 6 steam boiler pressure has a mean of 760 psi (pound per square inch) with its population standard deviation is 28 psi. Use this information and thelevel of significance a=0.05 to test whether the true average steam boiler pressure from which this sample came is 790 psi.i) State the null and alternative hypotheses.Ho: mH₁: mii) Calculate the test statistic and find the critical value.Answer:x = (a)J = (b)Zo = (c)(d)(a)(b)(2 d.p)(d)iii) State the decision and conclusion.Decision:Ho.Conclusion: There isevidence to believe that the true average steam boiler pressure from which this sample came is 790 psi.Zcritical value=

Answered: Image /qna-images/answer/f6da6870-a795-4f43-afbb-71ac5dae3f86.jpg

Answered: A random sample of 6 steam boiler…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A random sample is obtained from a normal population with a mean of u=95 and a standard deviation of o=40. The sample mean is M=86. a.is the a representative sample mean or an extreme value for a sample of n=16 scores?
A variable x is normally distributed with mean 24 and standard deviation 8. Round your answers to the nearest hundredth as needed. a) Determine the z-score for x = 28. 2 = b) Determine the z-score for x = 2 = c) What value of x has a z-score of 0.63? X = : 22. d) What value of x has a z-score of -0.1? X = e) What value of x has a z-score of 0? X =
The calibration of a scale is to be checked by weighing a 11 kg test specimen 25 times. Suppose that the results of different weighings are independent of one another and that the weight on each trial is normally distributed with o = 0.200 kg. Let u denote the true average weight reading on the scale. (a) What hypotheses should be tested? Ho: H = 11 Ha: u + 11 Ho: H + 11 H3i H 11 a (b) With the sample mean itself as the test statistic, what is the P-value when x = 10.83? (Round your answer to four decimal places.) What would you conclude at significance level 0.01? Conclude that the true mean measured weight differs from 11 kg. Conclude that the true mean measured weight is the same as 11 kg. (c) For a test with a = 0.01, what is the probability that recalibration is judged unnecessary when in fact u = 11.2? (Round your answer to four decimal places.) For a test with a = 0.01, what is the probability that recalibration is judged unnecessary when in fact u = 10.9? (Round your answer to…
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As a bonus assignment a former student checked if your professor gave a statisticallysignificant difference in grades between his male and female students. She based herstudy based on grades assigned in intermediate Econ courses (Econ 303, 305 and 317)and her sample included nm = 485 male students and nf = 264 female students. Theaverage grades received were xm = 84.6 and xf = 85.8 The population standad deviation were σ m = 12.0 and σ f = 11.4 8. From the same extra-credit study as in question 7 see above, this former student found that the proportion of female students in principle courses (Econ 203, 205) was ?̅? = 0.380, while the proportion of female students in intermediate courses (Econ 303, 305, 317) was ?̅? = 0.352. The principle courses sample size was np = 782, while the intermediate courses sample size was ni = 749. Test the hypothesis that female students are less in intermediate courses using a 90% confidence level and the p-value approach.
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Assume that we have estimated the standard deviation of a sample x₁,. ., xn ER using the sample standard deviation s = ô(x₁,x2,...,xn). What does ô(−2x1, −2x2,..., -2xn) equal? A: s B: -4s C: 4s D: -2s E: 2s
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J A survey found that women's heights are normally distributed with mean 63.3 in. and standard deviation 2.7 in. The survey also found that men's heights are normally distributed with mean 67.5 in. and standard deviation 3.4 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum o 64 in. Complete parts (a) and (b) below. ... a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is 3.8%. (Round to two decimal places as needed.) an example
Use the information given and the eight-step approach to test the hypotheses. Let a = 0.01. Assume that the population is normally distributed. Ho : µ = 7.81 Ha:µ < 7.81 n = 18 x = 17.1 s = 1.67 Appendix A Statistical Tables (Round your answer to 2 decimal places, e.g. 15.25.) The value of the test statistic is and we
Let X be a quantitative variable whose values are form a population under study and X⎯⎯⎯⎯ be the corresponding sample mean RV. If population and sample sizes are 3601 and 196, respectively, and σX=149, then SD(X⎯⎯⎯⎯) is Select one: ≈10.64 None ≈10.35 ≈10.94 ≈0.76

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