Answered: dataset x = (x1, … , xn ) has sample…

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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The mean of Binomial distribution is 3 and variance is. Find P(1 < x < 6)
Express variance of a variable X in terms of conditional variances.
How did you get the variance for this problem ?
13
An airport official wants to prove that the proportion of delayed flights for Airline A (denoted as p1) is less than the proportion of delayed flights for Airline B (denoted as p2). Random samples for both airlines after a storm showed that 51 out of 200 flights for Airline A were delayed, while 60 out of 200 of Airline B's flights were delayed. The test statistic for this problem is -1.00. The p-value for the test statistic for this problem is: p = 0.0228 p = 0.0668 p = 0.3413 p = 0.1587
Independent simple random samples are taken to test the difference between the means of two populations whose variances are not known. The sample sizes are n1 = 12 and n2 = 14. Which is the correct distribution to use?
Two separate samples, each with n = 14 individuals, receive different treatments. After treatment, the first sample has SS = 1512 and the second has SS = 1620. Find the pooled Variance for two independent samples. (hundredths place) Type only the pooled variance.
A professor claims that the final exam grades are more widely dispersed in Principles classes compared to upper-level classes. In a sample of 101 Principles final exams, the standard deviation is 16 while in a sample of 30 upper-level class final exams the standard deviation is 13. Test the hypothesis at the 10% level of significance that the 2 variances are different. Write all formulas and hypothesis.
2. The average zone of inhibition (in mm) for mouthwash L as tested by the medical technology students has been known to be 9mm. A random sample of 10 mouthwash L was tested and the test yielded an average zone of inhibition of 7.5mm with a variance of 25 mm. Is there enough reason to believe that the anti-bacterial property of the mouthwash has decreased? Test the hypothesis that the average zone of inhibition of the mouthwash is no less than 9mm using 0.05 level of significance. A. State the hypotheses. B. Determine the test statistic to use. C. Determine the level of significance, critical value, and the decision rule. D. Compute the value of the test statistic. E. Make a decision. F. Draw a conclusion.

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dataset x = (x1, … , xn ) has sample variance of 0 when (n≥2 ). prove that all the data points are in fact equal