92.1. Assume that the heights of 2000 male students atOKAN Universityare normally distributed with mean 177.2cmand standard deviation 6,6 cm. If 90 samples consistingof 30 students each are obtained, what would bethe expected mean and standard deviation of theresulting sampling distribution of means if scumpling Weredone with replacement 22) without replacement?

Population size N=2000Mean Standard deviation Sample size

Answered: 2.1. Assume that the heights of 2000…

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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5) A national standardized math test is given to 8th-grade students. Scores on the test range from 0 to 500. Suppose you give this test to an SRS of 900 eighth- graders from a large population in which the scores have a mean u =285 and a standard deviation o= 125. The sample mean x-bar will vary if you take repeated samples. a) If the sampling distribution of x-bar is approximately Normal and has a population mean of 285. What is its standard deviation? b) Suppose that an SRS of 900 eighth-graders has x-bar = 288. Based on this sample, calculate the 95% confidence interval for u %3D c) Without calculating, suppose we compute a 99% confidence interval for the population mean, would you expect the margin of error to be larger or smaller than that calculated in (b). Why? d) Without calculating, suppose that we take an SRS of 1600 8th-graders and find the sample mean to be 288. Compared to part (b), would the margin of error for a 95% confidence interval for the population mean be larger…
3. A researcher claims that the performance of graduates of Training Program 1 differ from the performance of graduates of Training Program 2. The table below summarizes the data gathered from 9 randomly selected graduates of each of the training program. Training Program Training Program 1 Training Program 2 Мean Standard Deviation 35.52 4.4752 31.56 4.0000 At a = 0.10, is there enough evidence to support the researcher's claim?
2. The standard mean length of a certain construction lumber is 8.5 ft. A builder claims that the length of the construction lumber manufactured by “Kahoy Lumber" is longer than it should be. To verify his claim, he obtained a random sample of 50 pieces of “Kahoy Lumber's" construction lumbers and found a mean of 8.3 ft. It is known that the standard deviation of the length of construction lumbers is 1.2 ft. Suppose the decision rule he will follow is "Reject Ho if the sample mean length of construction lumber is greater than 8.8 ft, otherwise fail to reject Ho." a. State Ho and Ha. b. Find the probability of committing Type I error. c. Find the probability of committing Type II error when in fact the true mean length of construction lumber is 9.0 ft.
10. An organization claims that its product has a life of at least 31 days. if the sample size = 36, sample mean= 29 days, standard deviation= 6 days , and a = .01. Find z value:
4) a. A group of doctors on a particular hospital identified that they attend an average of (15 + 18) patients per hour. Assume the standard deviation is 4. 18 random sample of 36 hours was chosen. Find the 95% confidence interval. b. Find the 90% confidence interval for the variance if a study of (9 + 18) students found the 6.5 years as standard deviation of their ages. Assume the variable is normally distributed.
1. One sample from an independent‐measures study has n = 6 with SS = 400. The other sample has n = 9 and SS = 770. Compute the pooled variance/explanation.
5. A random sample of 50 medical school applicants at a university has a mean raw score of 31 on the multiple choice portions of the Medical College Admission Test (MCAT). A student claims that mean raw score for the for the school's applicants is more than 30. Assume the population standard deviation is 2.5. At a = 0.01, is there enough evidence to support the student's claim?
2.)A machine automatically dispenses a beverage of a desired size. When set to "small," the machine dispenses varying amounts of liquid with a mean of 275275 mLmL and standard deviation of 1010 mLmL. Suppose that we take random samples of 55 of these drinks and calculate the mean amount of liquid ?¯x¯ in each sample. We can assume that individual drinks are independent. Calculate the mean and standard deviation of the sampling distribution of ?¯x¯.
The lengths of pregnancies in a small rural village are normally distributed with a mean of 269 days and a standard deviation of 16 days. a) In what range would you expect to find the middle 68% of most pregnancies? Between and b) If you were to draw samples of size 38 from this population, in what range would you expect to find the middle 68% of most averages for the lengths of pregnancies in the sample? Between and Enter your answers as numbers. Your answers should be accurate to one decimal places. Submit Question ロI & #3 2$ 6 7 8. 2 3 4 y e d f h づ
4. The man ager of a large store claims that the mean bal ance for the store's customer ch arge accounts is, on average, $400. Suppose that a random sample of 19 customer charge count tot als is observed, and the mean charge amount of those sampled is 8495.65. If the stand ard deviation of the ch arge amounts sampled is $145.67, is there evidence support ing the claim that the me an baance of all of the store's customer ch arge accounts is more than 8400? (a) problem. Wh at additional assumption is necessary? For the subsequent parts, complete them with the need ed assumption in place. There is an addition al assumption we need to make beyond what is given in the (Ь) St ate the null and alternative hypotheses for this situation. (c) Give the test stat istic for this hypothesis test. (d) Give the p-value for this test.
9. Measurements of the diameters of a random sample of 13 ball bearings made by machine X during one week showed a mean of 8.22 mm and a standard deviation of 0.38 mm. However, other measurements of the diameters of a random sample of 11 ball bearings made by machine Y during the same week showed a mean of 7.68 mm and a standard deviation of 0.42 mm. Assuming the diameters are normally distributed with equal variance, a) Construct a 99% confidence interval for the difference in the true mean diameters of ball bearings made by the two machines. b) Based on your answer in part (a), are you 99% confident that the true mean diameters of ball bearings made by machines X and Y are not equal? Justify your answer.

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