KDetermine (a) the x test statistic, (b) the degrees of freedom, (c)Ho: The random variable X is binomial with n=4, p =0.8H,: The random variable X is not binomial with n=4, p=0.8Click the icon to view the chi-square distribution table.(a) x²=(Round to two decimal places as needed.)P-value, and (d) test the hypothesis at the a=0.05 level of significance.X0 1 2 3 4Observed 3 39 124 442 386Expected 1.6 25.4 152.7 407.1 407.1

The question is about binomial distribution.Given :Null and alternative hypotheses :H0 : X is…

Answered: K Determine (a) the xo test statistic,…

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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Similar questions

Select the appropriate response. bag contains 15 red balls and 3 green balls. One at a time a ball is selected, the color is recorded and the ball is returned to the bag. This is done until 100 balls have been pulled from the bag. X = number of outcomes that are red. Is X a binomial random variable? O Yes, is a binomial distribution. No, not a binomial because the number of trials is not fixed (known). O No, not a binomial distribution because there are more then two outcomes. O No, not a binomial because the probability of a success changes with each trial (the trials are not independent).
The tread life of tires mounted on light-duty trucks follows the normal probability distribution with a population mean of 60,000 miles and a population standard deviation of 4,000 miles. Suppose we select a sample of 90 tires and use a simulator to determine the tread life. What is the likelihood of finding that the sample mean is between 59,050 and 60,950? 0.4878 0.9756 0.9878 0.5122
None
4 students apply to a PhD program. The program rejects 45% of all applicants. Students are accepted and rejected independently of each other. Let the random variable X represent the number out of the 4 students who get rejected into the PhD Program. (Hint: Binomial distribution with n=4, P=45%) What is the mean of the random variable? (round your answer to 4 decimal places)
ook int rences American households increasingly rely on cell phones as their exclusive telephone service. It is reported that 49.2% of American households still have landline phone service. We decide to randomly call eight households and ask if the home has a landline phone. a-1. What is the random variable? The random variable is the count of the a-2. How is the random variable distributed? The random variable follows a binomial Probability 8 households that have a land line. probability distribution. N b. What is the probability that none of the households in the sampled group have landline phone service? (Round your answer to 4 decimal places.)
Salaries for teachers in a particular elementary school district are normally distributed with a mean of $41,000 and a standard deviation of $6,200. We randomly survey ten teachers from that district. O Part (a) In words, define the random variable X. O the salary of an elementary school teacher in the district O the number of teachers in the district O the number of teachers in an elementary school in the district O the number of elementary schools in the district O Part (b) O Part (c) O Part (d) Give the distribution of EX. (Round your answers to two decimal places.) EX - NV 41000 6200 O Part (e) Find the probability that the teachers earn total of over $400,000. (Round your answer to four decimal places.) O Part (f) Find the 90th percentile for an individual teacher's salary. (Round your answer to the nearest whole number.) O Part (g) Find the 90th percentile for the sum of ten teachers' salary. (Round your answer to the nearest whole number.) O Part (h) If we surveyed 70 teachers…
Past records indicate that the probability of online retail orders that turn out to be fraudulent is 0.08. Suppose that, on a given day, 18 online retail orders are placed, Assume that the number of online retail orders that turn out to be fraudulent is distributed as a binomial random variable. Complete parts (a) through (d) below. a. What are the mean and standard deviation of the number of online retail orders that tun out to be fraudulent? The mean number of online retail orders that turn out to be fraudulent is (Type an integer or a decimal. Round to four decimal places as needed.) The standard deviation of the number of fraudulent retail orders is. (Type an integer or a decimal. Round to three decimal places as needed.) b. What is the probability that zero online retail orders will turn out to be fraudulent? (Type an integer or a decimal. Round to four decimal places as needed.) c. What is the probability that one online retail order will turn out to be fraudulent? (Type an…
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean is found to be 108 and the sample standard deviation is found to be 10 A) Construct an 80% confidence interval if the sample size is 13 B) Construct a 70% confidence interval if the sample size is 17 C) Could we have computed the confidence intervals in parts a and b if the population had not been normally distributed
Discrete random variables and expected values

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