Suppose that a simple random sample of n = 2 numbers will be selected from the list of values 10, 12, 14, 16, 18.(a) There are ten possible equally likely samples of n 2 numbers that could be selected (10 and 12, 10 and 14, etc.). Calculate the sample mean for each sample.=Sample10, 12Sample12, 16I10, 1412, 1810, 1614, 1610, 1812, 1414, 1816, 18(b) Summarize the results of part (a) into a table showing the sampling distribution of possible sample means. To do this, list each possible value for the sample mean along with the probabilitythe value would occur. (Enter your answers from smallest to largest value for the sample mean.)Probability

The objective of this question is to calculate the sample mean for each of the given samples and…

Answered: Suppose that a simple random sample of…

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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13-5. Four bad apples are mixed accidentally with 20 good apples Obtain the probabilin distribution of the number of bad apples in a draw of 2 apples at random.
For each of these 10 samples, compute Statistics 1, 2, and 3. Enter your answers as 3 numbers separated by commas, such as 1,2,3. 2, 3, 3* 2, 3, 4 2, 3, 4* 2, 3*, 4 2, 3*,4* 2, 4, 4* 3, 3*, 4 3, 3*, 4* 3, 4, 4* 3*, 4, 4* Which statistic would you recommend for estimating u? Average of smallest and largest values in the sample Question Heln
Q1) Below find the records of 12 randomly selected used pickup trucks (none used commercially) and 11 randomly selected used passenger cars, the time (in years) that they were kept by the original owner before being sold: Used pickup trucks | 3 | 2.5 2.9 5 4.2 3.1 3.3 4 5.3 3.8 4.5 Used passenger cars | 2.2 3 2.8 4.3 4 3.3 2.9 2.1 2 3.1 3 It is known that the standard deviation of used pickup trucks is 2 years and of used passenger cars is 1 year. (a) Investigate, at the 5% significant level, whether the mean time (in years) that used pickup trucks were kept by the original owner before sold is larger than used passenger cars. (b) What assumption is needed to perform the test in (a). (c) Construct the 96% confidence interval for the mean difference of time (in years) were kept by the original owner before sold between used passenger cars and used pickup trucks. Use this confidence interval to tell whether there is difference in the mean time (in years) between these 2 tynes of…
Q3) The following data represents the score of 40 students in one exam 26 72 41 59 60 88 35 48 11 84 36 73 50 61 95 70 46 56 28 74 14 91 27 22 39 77 44 87 60 45 90 63 43 88 71 29 86 70 69 55 * :b) The Median is 67 67.5 68 68.5 none of all above O
The assets (in billions of dollars) of the four wealthiest people in a particular country are 46, 33, 21, 12. Assume that samples of size n = 2 are randomly selected with replacement from this population of four values. a. After identifying the 16 different possible samples and finding the mean of each sample, construct a table representing the sampling distributi- of the sample mean. In the table, values of the sample mean that are the same have been combined. Probability Probability x 46 39.5 33.5 33 29 (Type integers or fractions.) CITR X 27 22.5 21 16.5 12
Suppose population 1 consists of all students who picked up all the tests they completed prior to taking the final exam. Suppose population 2 consists of all students who had one or more tests that they completed that were not picked up prior to taking the final exam. Based on years of grading final exams and observing grades, STAT 210 instructors conjecture that the mean final exam grade for all students who picked up all their tests is greater than the mean final exam grade for all students who had one or more tests that were not picked up. A simple random sample of 56 students who picked up all tests they completed was selected, and the mean score on final exam for this sample of students was 83 with a standard deviation of 10.4. An independent simple random sample of 51 students who had one or more tests that were not picked up was selected, and the mean score on the final exam for this sample of students was 67 with a standard deviation of 24.2. Both distributions are skewed…
21a)
Three groups of children contain respectively 3 girls and I boy: 2 girls and 2 boys: 1 girl and 3 boys. One child is selected at random from each group, Show that the chance that the three selected consist of 1 girl and 2 boys is 13/32?
Assume that the height, X, of a college woman is a normally distributed random variable with a mean of 65 inches and a standard deviation of 3 inches. Suppose that we sample the heights of 180 randomly chosen college women. Let M be the sample mean of the 180 height measurements. Let S be the sum of the 180 height measurements. All measurements are in inches. Using R and write the code out.a) What is the probability that X < 59? b) What is the probability that X > 59? c) What is the probability that all of the 180 measurements are greater than 59? d) What is the expected value of S? e) What is the standard deviation of S? f) What is the probability that S-180*65 >10? g) What is the standard deviation of S-180*65 h) What is the expected value of M? i) What is the standard deviation of M? j) What is the probability that M >65.41? k) What is the standard deviation of 180*M? l) If the probability of X > k is equal to .3, then what is k?
25. If the random variable X ~ A(H, o²), then what is the mode of X? 26. If the random variable X ~ A(u, o²), then what is the median of X?

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