A statistics instructor gave a four-question true-false quiz to his class of 82 students. The results were as follows.Number correct1234Observed41824288.Send data to ExcelThe instructor thinks that the students may have answered the questions by guessing, so that the probability that any givenanswer is correct is 0.5. Under this null hypothesis, the number of correct answers has a binomial distribution with 4 trials andsuccess probability 0.5. Perform a chi-square test of this hypothesis. Can you reject H, at the a= 0.10 level? Use the P-valuemethod with the TI-84 Plus calculator.Part: 0 / 4Part 1 of 4(a) State the null and alternate hypotheses.Ho: The number of correct answers (Choose one) V a binomial distribution with 4 trialsand success probability 0.5.: The number of correct answers (Choose one)a binomial distribution with 4 trialsand success probability 0.5.

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Answered: A statistics instructor gave a…

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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You guess repeatedly on an exam that is made up of multiple choice questions, all of which have 5 possible answers. There are 22 problems on the exam. If needed, round your answers below to three decimals. a. To model this situation with a binomial distribution, what would you use for p? b. How many questions would you expect to get right? C. What is the variance? d. What is the probability of getting 4 questions right? Submit Question
Anyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use the cricket as a thermometer? Crickets tend to chirp more frequently as temperatures increase. This phenomenon was studied in detail by George W. Pierce, a physics professor at Harvard. In the following data, x is a random variable representing chirps per second and y is a random variable representing temperature (°F). 21.0 15.1 19.0 17.6 17.5 15.5 14.7 17.1 y 87.8 71.4 94.1 84.7 81.4 75.2 69.7 82.0 15.4 16.2 15.0 17.2 16.0 17.0 14.4 69.4 83.3 79.6 82.6 80.6 83.5 76.3 Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answer to four decimal places.) %3D X = y = + %3D Find the value of the coefficient of determination r. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r² to four decimal places. Round your…
1. In a study of perception, 110 men are tested and 24 are found to have red/green color blindness (based on data from USA Today). Assume that this was done in a simple random manner. A 95% confidence interval estimate of the proportion of all men with red/green color blindness was found to be 0.14 to 0.30. If we learn that the actual population proportion of men with red/green colorblindness is equal to 0.12, then what can we conclude? A. The confidence interval was wrong. B. We would need to see the sample data to make any conclusions Pick either answer A or B as your answer and show your work to go with it
Suppose we have the results of a Gallup survey (simple random sampling) which asks participants for their opinions regarding their attitudes toward technology. Based on 1500 interviews, the Gallup report makes confidence statements about its conclusions. If 64% of those interviewed favored modern technology, we can be 95% confident that the percent of those who favored modern technology is a 95% of 64%, or 60.8% b 95% 3% c 64% d 64% 3%
Do question 2
When solving a problem related to one sample and the confidence interval of variance. Suppose the sample size is n. What is the degree of freedom we will use?
One fair coin is tossed 25 times, let X be the number of getting heads out of those 25 tossing experiments. What is the mean and variance of X? 12 and 6.25 12.5 and 6.25 10 and 2.5 12.5 and 2.5
Assume that you have a binomial experiment with p= .3 and a sample size of a 100. The value of the variance is?
Last year the average math SAT score for students at one school was 775. the Headmaster introduced new methods hoping to improve scores. this year , the math mean SAT score for a sample of students was 1178. If the teaching had no effect, there would be roughly a 3 in 100 chance of seeing such an increase. Does the result have STATISTICAL significance? does the result have PRACTICAL significance? exlain your answer
Which outcome is expected if the null hypothesis is true for an analysis of variance? a. SSbetween should be about the same size as SStotal. b. SSbetween should be about the same size as SSwithin. c. MSbetween should be about the same size as MStotal. d. MSbetween should be about the same size as MSwithin.
3. Bob draws a simple random sample from an extremely large population of lemons. The sample size is n=925 and in the sample 576 lemons turn out to be good and 349 lemons turn out to be bad. Find the 99% confidence interval for the population proportion P of good lemons.

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