Test the following hypotheses for a multinomial probability distribution by using the xgoodness of fit test.Ho : PA = 0.40 , PB = 0.40, and pc = 0.20Ha : The probabilities are notPA = 0.40 , pB = 0.40 , and Pc = 0.20A sample of size 200 yielded 60 in category A, 120 in category B, and 20 in category C.Use a = 0.01 and test to see whether the probabilities are as stated in Ho.a. Use the p-value approach. Use Table 3 of Appendix B.x² =122.5(to 2 decimals)The p-value is less than 0.005Conclusion:Conclude the proportions differ from 0.4, 0.4, and 0.2.b. Repeat the test using the critical value approach.(to 3 decimals)=9.21(to 2 decimals)

Given that b... Repeat the test using the critical value approach.…

Answered: est the following hypotheses for a…

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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Given the probability distributions shown to the right, complete the following parts. a. Compute the expected value for each distribution. b. Compute the standard deviation for each distribution. c. What is the probability that x will be at least 3 in Distribution A and Distribution B? d. Compare the results of distributions A and B. Distribution A Distribution B P(X=x;) 0. 0.03 P(X=x,) 0.12 0.51 0.14 0.20 0.20 0.14 a. What is the expected value for distribution A? 0.51 0.12 0.03 ..... %D (Type an integer or decimal rounded to three decimal places as needed.) What is the expected value for distribution B? (Type an integer or decimal rounded to three decimal places as needed.) b. What is the standard deviation for distribution A? (Type an integer or decimal rounded to three decimal places as needed.) What is the standard deviation for distribution B? %D (Type an integer or decimal rounded to three decimal places as needed.) c. What is the probability that x will be at least 3 in…
Use Table 4 as shown in img.jpg to find the following probabilities for a standard normal random variable Z. a. P(0≤Z≤1.2) b. P(-0.9≤Z≤0) c.P(0.3≤Z≤1.56) d. P(-0.2≤Z≤0.2) e. P(-200≤Z≤-1.56)
The U.S. Health Department reported that 40% of households had both a wireless phone and a landline. Assume that in a simple random sample of 300 households, 105 are found to have both services. With this information answer the following questions: What is the population proportion, π? What is the sample proportion, p? What is the standard error of the sample proportion? In the sampling distribution of the proportion, what is the probability that a sample of this size would result in a sample proportion at least 35%?
Consider the following Binomial Experiment: 180 people have been exposed to the flu. If the probability that a person contracting the flu on exposure is 0.37, find the variance of these 180 peopl. contracting the flu. a) O306.4865 b) 041.9580 c) O 0.2331 d) O 24.6420 e) O 113.4000 f) ONone of the above. Review Later
3. The amount of time it takes a TELNOR cashier to serve customers in service by car is a normally distributed random variable, with mean 3.2 minutes and standard deviation 1.6 minutes. Given a random sample of 64 customers served in a day, find the probability that the average time spent serving these customers is: (a) less than 2.7 minutes b) more than 3.5 minutes c) at least 3.0 minutes, but less than 3.4 minutes.
1. The average cost of college for one year is $26,489 with a standard deviation of $3204. If 36 colleges are selected at random, find the following probabilities Find the probability that the sample mean cost for the 36 schools is between $24,000 and $26,000.
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Test the following hypotheses for a multinomial probability distribution by using the x? goodness of fit test. Ho : PA = 0.20 , pB = 0.40, and Pc = 0.40 H. : The probabilities are not PA = 0.20 , PB = 0.40 , and pc = 0.40 A sample of size 200 yielded 30 in category A, 120 in category B, and 50 in category C. Use a = 0.01 and test to see whether the probabilities are as stated in Ho. a. Use the p-value approach. Use Table 3 of Appendix B. (to 2 decimals) The p-value is - Select your answer - Conclusion: - Select your answer - b. Repeat the test using the critical value approach. Xổ,01 = (to 3 decimals) (to 2 decimals) Conclusion: Select your answer - - Select your answer - Cannot conclude that the proportions differ from 0.2, 0.4, and 0.4. Conclude the proportions differ from 0.2, 0.4, and 0.4.
An appliance dealer sells three different models of upright freezers having 13.5, 15.9, and 19.1 cubic feet of storage space. Let x = the amount of storage space purchased by the next customer to buy a freezer. Suppose that x has the following probability distribution: x 13.5 15.9 19.1 P(X=x). .2 .5 .3 Calculate the mean and standard deviation of the random variable. Interpret the mean in context. If the price of the freezer depends on the size of the storage space, x, such that Price = 25x – 8.5, what is the mean value of the variable Price paid by the next customer? What is the standard deviation of the price paid?
An audit finds that the dollar amounts of invoices have a mean of $1,662 anda standard deviation of $302. What is the probability that for a sample of 50 invoices, the average invoice is less than $1,550? O a. 0.040 O b. 0.0044 O c. 0.9956 O d. None of the suggested answers are correct O e. 0.437 In a positively skewed distribution, which of the following is the correct statement? O a. The distance from Q, to Q, is always smaller than the distance from Q, to Q3 O b. The distance from Q, to Q3 is twice the distance from the Xsmallest to Xjargest О с. None of the suggested answers are correct O d. The distance from the Xsmallest to Q2 is shorter than the distance from Q2 to Xargest е. The distance from the Xsmallest to Q1 is shorter than the distance from Q3 to Xjargest

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