X 3. Determine (a) the y test statistic, (b) the degrees of freedom, (c) the P-value, and (d) test the hypothesis at the a=0.05 level of significance. Observed Expected 4. 41 120 441 385 1.6 25.4 1522 405.9 405.9 Ho: The random variable X is binomial with n= 4, p=0.8 H: The random variable X is not binomial with n=4, p= 0.8 Click the icon to view the chi-square distribution table. (a) x-0 (Round to two decimal places as needed.)
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- 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. 15 17 17 20 15 12 13 16 15 12 State the null and alternate hypotheses. H0: ? = 14; H1: ? < 14 H0: ? > 14; H1: ? = 14 H0: ? < 14; H1: ? = 14 H0: ? = 14; H1: ? ≠ 14 H0: ? = 14; H1: ? > 14 What is the value of the sample test statistic? (Round your answer to three decimal places.)5. If z is a standard normal random variable, find the value of c:P(z < c)= 0.6950 c = _____q7
- It is believed that 70% of males pass their drivers test in the first attempt, while 65% of females pass the test in the first attempt. A test will be conducted to check whether the proportions are in fact equal. a. State the hypotheses in terms of the appropriate parameter(s)b. Determine if the samples are independent or dependentc. Identify the random variable, and its distribution (either normal or t-distribution), along and explain this choice. d. Identify the test to be used.What is the intuition behind why the standard error of x̄ is less than the standard deviation of X?65 homeless people in San Jose were asked their age. The sample mean age was 33.2 years. Let x be a random variable representing ages of homeless people in San Jose. Assume that x has a normal distribution and o = 7.3 years. Do the data indicate that the mean age of the population of homeless people in San Jose is less than 35 years old? Use a = 0.05. Identify the following in your answer. 1. Identify the null hypothesis Ho and alternate hypotheses H, for the problem. 2. Identify the sample statistic, test statistic, p-value and calculator key used: Sample Statistic (sample mean) (Stated in problem) = Test Statistic (z) (Round to two decimal places) %3D P-value: (Round to four decimal places) = Calculator key used: 3. Identify the significance level and determine if you reject or fail to reject the null hypothesis. significance level = Do you reject or fail to reject Ho ? 4. State your conclusion. Upload your answer. Remember you can only upload one document. Upload Choose a File
- 3 l 60% 2:18 p.m. Assignment3.pdf Rawalpindi Women University Assignment No:3 Course Code: STAT-1113 Course Title: Introduction to Probability & Statistics Instructor's Name: Arooj Toheed Semester: 1st & Section B Total Marks:10 Department: Physics Q:1: A random variable X is binomially distributed with mean 3 and variance 2.Compute 1. P(X<5) 2. E(2X-3) the probability that a person entering a bakery shop will purchase a loaf of bread is 0.9,what is the probability that at least one person among the next five entering the shop will not purchase bread? Q:3: If 3% of the electric bulb manufactured by a company are defective , find the probability that in a sample of 100 bulbs (i) more than 5 (ii) less than 2 will be defective. Q:4:Discuss the relationship between mean and variance of Hyper geometric distribution. Instructor's signature:Test the claim about the differences between two population variances a and o at the given level of significance a using the given sample statistics. Assume that the sample statistics are from independent samples that are randomly selected and each population has a normal distribution. Claim: o so, a = 0.05 Sample statistics: s, = 705, n, =3, s = 368, n, = 9 Find the null and alternative hypotheses. OA Hoio> Hạ: o so3 OC. Hoi o z0 H,: oIn a study of life expectancy in a certain region, the mean age at death was 70 years, and the standard deviation was 5 years. The life expectancy (years) is assumed to follow a skewed distribution. Suppose that a random sample of 45 people from this region is selected. The mean life expectancy (years) of the sample is considered a random variable. What is its standard error? 0.5976 O 2.2361 O 5.2341 O 0.1111Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. FreemanMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman