Q2. In some factory we have the following statistics of defects on doors over a a week. Iethe random variable the counts defects.XFrequenev|0.731.2016152.3.Find the expected vahue E(7) in that district.

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Answered: Q2. In some factory we have the…

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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Aspirin is packed in 120 tab bottles with weight normally distributed with mean 600g and standard deviation 6g. We want to figure out what is the probabilty that a bottle of aspirin randomly picked from the production batch will weigh from 598g to 602g. 1. Do we have to calculate one z-score or two z-scores? 2. The negative z-score is 3. The positive z-score is 4.The probability that a bottle of aspirin will have weight between 598g and 602g is
Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Then x has a distribution that is approximately normal, with population mean of about 14 for healthy adult women. Suppose that a female patient has taken 10 laboratory blood tests during the past year. The HC data sent to the patient's doctor are as follows. 14 18 15 19 13 11 15 18 15 12 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) X = S = (ii) Does this information indicate that the population average HC for this patient is higher than 14? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. О Но: и 3D 14;B Hі: и 14; Hі: и %3D 14 Но: и 14 О Но: и 3D 14;B Hi: и # 14 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since we assume that x has a normal distribution and o is…
16. Standardized test scores are normally distributed with an average of 500 and a variance of 100. What is the chance that a score is between 485 and 550? A. 0.2511 B. 0.3520 C. 0.6554 D0.9332
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A scientist claims that pneumonia causes weight loss in mice. The table shows the weights (in grams) of six mice before infection and two days after infection. At a=0.05, is there enough evidence to support the scientist's claim? Assume the samples are random and dependent, and the population is normally distributed. Mouse 1 4 6. Weight (before) Weight (after) 20.8 22.4 21.7 23.6 19.6 19.9 20.8 22.5 21.5 23.7 19.5 19.8 1) Find the standardized t test 2) Find the P-value 3) Decide whether to reject or fail to reject the null hypothesis. 4) Interpret the decision in the context of the original claim. 19,600
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…
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In an experiment on children’'s behavior, children are placed in an area with 3 toys. The chart below gives the probability distribution of the number X of toys the children play with. 4. Toys 1 Probability .06 .35 .28 .31 What are the mean value, variance, and standard deviation for this distribution?
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7.34 Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in 1 month is given by the following table: 1 2 3 4 5 6 7 .05 .10 .12 .30 .30 .11 .01 .01 8 p(x) a. Find the mean value of x (the mean number of systems sold). b. Find the variance and standard deviation of x. How would you interpret these values? c. What is the probability that the number of systems sold is within 1 standard deviation of its mean value? d. What is the probability that the number of systems sold is more than 2 standard deviations from the mean? (Hint: See Example 7.13.)

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Q2. In some factory we have the following statistics of defects on doors over a a veek. Ie the random variable the counts defects. Frequency 73 20 0. 16 15 2. 3. Find the expected value E(7) in that district.