2.1. Assume that the heights of 2000 male students at7 OKAN University are normally distributed with mean 177,2cmand standard deviation 6,6 cm. It go samples consistingof 30 students each are obtained, what would bethe expected mean and standard deviation of theresulting sampling distribution of means if sampling weredone. i) 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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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:
9 2.1. Assume that the heights of 2000 male students at OKAN University are normally distributed with mean 177.2cm and standard deviation 6,6 cm. If 90 samples consisting of 30 students each are obtained, what would be the expected mean and standard deviation of the resulting sampling distribution of means if scumpling Were done with replacement 22) without replacement?
The World Health Organization reports that the distribution of ages at time of death in the United States has mean u of 79.8 years and a standard deviation o of 15.5 years, based on death certificates. The distribution of ages at time of death is obviously left-skewed. Researchers plan to take a random sample of 100 American death certificates. a)What are the mean and standard deviation of the sampling distribution of the mean age at death, x̄, for samples of 100 American death certificates? b) Explain why the sampling distribution of x̄ is approximately Normal. c) What is the probability that the mean age at time of death in a random sample of 100 American death certificates will be less than 78 years?
19. A machine that makes dimes is adjusted to make them at diameter 1.9 cm. Production records show that when the machine is properly adjusted, it will make dimes with a mean diameter of 1.9 cm and with a standard deviation of 0.1 cm. During production, an inspector checks the diameters of dimes to see if the machine has slipped out of adjustment. A random sample of 64 dimes is selected. The inspector would like to detect if the true mean diameter happens to reach 1.95 cm at a significance level of a = 0.01. He determines the power of this test to be o.9228. What is the probability that the inspector will make a Type II Error? (A) 0.01 (B) 0.0385 (C) 0.05 (D) 0.0772 (E) 0.9228
5. A sociologist is studying the ages of “death-row” inmates. She obtains a random sample of 33 inmates on death row and finds a mean age of 37.2 years and a standard deviation of 8.4 years A. Estimate with 90% confidence the mean age among all death-row inmates. B. What assumptions are necessary for your procedure in part A to be considered valid?
16. A chain of restaurants has historically had a mean wait time of 7 minutes for its customers. Recently, the restaurant added several very popular dishes back to their menu. Due to this, the manager suspects the wait time, μ, has increased. He takes a random sample of 40 customers. The mean wait time for the sample is 7.1 minutes. Assume the population standard deviation for the wait times is known to be 1.1 minutes. Can the manager conclude that the mean wait time is now greater than 7 minutes? Use the traditional method and significance level of 0.10 to perform a hypothesis test. a) State Ho and H₁, then identify the claim b) Find the test statistic and the critical value c)Determine if we reject or fail to reject Ho. Show your solution and use the appropriate method based on part b d)Write your conclusion
Assuming that the scores of the student in a test is normally distributed with the mean of 40 and standard deviation of 6. a) What are the scores that will include the middle 60% of the class?
2. As the size of a sample from a population increases, the standard deviation of the sampling distribution will tend to decrease. True False 3. If the sampling frame used to draw a sample does not include the entire population then
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
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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.
Suppose that we have a set of 1000 values with average 4, and standard deviation 3. (This is population data). a) The sum of the values of this set is b) The sum of squares of deviations from the average of the values is c) The sum of squares of the values is d) If the data has an empirical histogram, 7 is approximately the integer as the answer). th percentile (Give an The 97.5th percentile is approximately (Give an integer as the answer). e) If the histogram of the data is unknown, the (100 * ) th percentile is at most

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