Xendistributed with mean 2ноIand variance fo.1, then jud P(|X-21) 20.0Q.3. @1 A random samplelargebadfoufor thein the.بالمسم<Me500 applescourgument, and 16095%. Confpercentage numberconsiguement.Takenwasfrom60, were to beidence inteuralhad applesof

Solution: a) Let X is normally distributed with mean 2 and variance 0.1. X~N(μ=2, σ2=0.1)

Answered: Q.3.@ Jf X'is normally distributed with…

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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Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normal. For the population of healthy female adults, suppose the mean of the x distribution is about 4.78. Suppose that a female patient has taken six laboratory blood tests over the past several months and that the RBC count data sent to the patient's doctor are as follows. 4.9 4.2 4.5 4.1 4.4 4.3 (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) Do the given data indicate that the population mean RBC count for this patient is lower than 4.78? Use ? = 0.05. (a) What is the level of significance?State the null and alternate hypotheses. H0: ? < 4.78; H1: ? = 4.78H0: ? = 4.78; H1: ? ≠ 4.78 H0: ? = 4.78; H1: ? < 4.78H0: ? = 4.78; H1: ? > 4.78H0: ? > 4.78; H1: ? = 4.78 (b) What sampling…
Q1.[5 points]: A researcher wants to assess if there is a difference in the average age of onset of a certain disease for men and women who get the disease. Let µ = average age of onset for women and µ2 = average age of onset for men. A random sample of 30 women with the disease showed an average age of onset of 83 years, with a sample standard deviation of 11.5 years. A random sample of 20 men with the disease showed an average age of onset of 77 years, with a sample standard deviation of 4.5 years. Assume that ages at onset of this disease are normally distributed for each gender, and assume the population variances are equal. i. What are the appropriate null and alternative hypothesis? ii. What is the value of the test statistics? iii. Why you decided to use the test statistics in part ii ? For a significant level of 0.05, what is the critical value (or critical region)? What is the appropriate conclusion to this test? iv. V.
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stion 16: nts) A random sample of 200 psychology students was selected from a department's participant pool. A researchers determined each student's score on the NPI-16 and the number of his or her Facebook friends. The marginal distribution of NPI-16 scores was 4, with a standard deviation of 2. The marginal distribution "Facebook Friends" was 450, with a standard deviation of 200. The correlation between the two variables was .15. Assuming that NPI-16 is the predictor variable and Number of Facebook Friends is the outcome variable, compute the following: The lower limit of the 95% confidence interval around b. Note: Enter your answer to the second decimal place.
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Q.3.@ Jf X'is normally distributed with mean and variance fo.1, then find P(|X-21) 20.0 taken from D A random sample g 500 apples was badige. Ovungument, and 60, were to be 95%. Conf Lence inkural for you the percentage member of bad apples I in the consiguement.