For a data set obtained from a random sample,n=R] and --48.25It is known that =4,8 Using 95% confidencelevelDetermine the confidence interval of population meanO a) (3.755.5 845)Ob)(-0 761,1 329)O)(-0512.1 578)Od)(47 205 49 295)

In question, We have given values of sample mean, sample size, and population standard deviation.…

Answered: For a data set obtained from a random…

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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Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value to/2, (b) find the critical value Zu/2, or (c) state that neither the normal distribution nor the t distribution applies. The confidence level is 95%, o is not known, and the histogram of 64 player salaries (in thousands of dollars) of football players on a team is as shown. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. /2² (Round to two decimal places as needed.) OB. Z/2 = (Round to two decimal places as needed.) O C. Neither the normal distribution nor the t distribution applies. ← Frequency 40- 30- 20- 10- ó 4000 8000 12000 16000 20000 Salary (thousands of dollars) G
The College Board reported the following mean scores for the three parts of the Scholastic Aptitude Test (SAT): Assume that the population standard deviation on each part of the test is o' = 100 . What is the probability a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 502 on the Critical Reading part of the test? What is the probability a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 515 on the Mathematics part of the test? Compare this probability to the value computed in part (a). What is the probability a random sample of 100 test takers will provide a sample mean test score within 10 of the population mean of 494 on the writing part of the test? Comment on the differences between this probability and the values computed in parts (a) and (b).
79. What is the 90% confidence interval for the difference in population proportions, p1 – p2 , given the following sample data: [-0.0772 , 0.1172] [-0.0499 . 0.0899] [-0.0710 , 0.1110] [-0.0603 , 0.1003]
24 - It will be tested whether the average endurance time of brand A batteries is more than 60 hours. For this purpose, a sample of 100 units was observed and it was calculated that the sample mean was 65 hours and the standard deviation was 10 hours. For 99% confidence level in testing the durability of A brand batteries; What is the null hypothesis in this test? a) H0 : μ ≠ 60 B) H0 : μ < 60 NS) None D) H0 : μ = 60 TO) H0 : μ > 60
76026 A) The mean and SD of diameters of a random sample of 9 ball bearings are 2mm and 1.25 mm respectively. The population of diameters of all ball bearings is normally distributed. Obtain the 95% confidence interval for the mean diameter of the population, B) An investigator wants to ascertain the mean time to complete a certain task given to all workers of a plant by taking a raudom sample so that the maximum difference between sample mean and population mean is 2 days with a probability of 0.95 and the standard deviation of the population as 10.5 days. How large should be the size of the sample in this case?
14 of 15 (15 complete) A company manufactures tennis balls. When its tennis balls are dropped onto a concrete surface from a height of 100 inches, the company wants the mean height the balls bounce upward to be 55.2 inches. This average is maintained by periodically testing random samples of 25 tennis balls. If the t-value falls between -to 0 and to 90, then the company will be satisfied that it is manufacturing acceptable tennis balls. A sample of 25 balls is randomly selected and tested. The mean bounce height of the sample is 56.2 inches and the standard deviation is 0.25 inch. Assume the bounce heights are approximately normally distributed. Is the company making acceptable tennis balls? Find -to 90 and to 90- - to 90 = - 1.711 to 90 = 1.711 (Round to three decimal places as needed.) Find the t-value. t-value = Enter your answer in the answer box and then click Check Answer. Check Answer Clear All 1 part remaining
3. The life in hours of a 75-watt light bulb is known to be normally distributed with σ = 25 hours. Arandom sample of 20 bulbs has a mean life of 1014 hours. Determine the lower limit of the 99%confidence interval on the mean life.
23) The records of 100 postal employees who volunteered for a study, showed that the average time these employees had worked for the postal service was x = standard deviation of the population of time postal service employees have spent with the postal service is approximately 8 years. Assume that we know that the normal with standard deviation o 5 years. A 95% confidence interval for the mean time u the population of postal service employees have spent with the postal service is:
Based on Information from a previous study, r, = 39 people out of a random sample of n, 98 adult Americans who did not attend college belleve in extraterrestrials. However, out of a random sample of n, = 98 adult Americans who did attend college, r, = 46 clatm that they believe in extraterrestrials. Does this Indicate that the proportion of people who attended college and who beleve in extraterrestrials is higher than the proportion who did not attend college? Use a = 0.01. (a) what is the level of ugnificance? state the null and alternate hypotheses. O H, P, = Pzi H P, P2 (b) what sampling distribution will you use? what assumptions are you making? O The standard normal. The number of trials is sufficiently large. O The Student's t. We assume the population distributions are approximately normal. O The Student's t. The number of trials is sufficiently large. O The standard normal. We assume the population distributions are approxlmately normal. What is the value of the sample test…
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A population has a mean of 100 and a standard deviation of 20. Find the z-score corresponding to each of the following sample means obtained from this population. a) M = 102 for a sample of n = 4 scores b) M = 102 for a sample of n = 100 scores
solve B plz

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For a data set obtained from a random sample =R] and --485 It is known that 4s Using 95% confidence level Determine the confidence interval of population mean O a) (3.755 5 845) b) (-0.761,1 329) O)(-0512 1578) d) (47 205 49 295)