For No. 3 and 4: Assume that a certain population has a gamma distribution with parameters a and ß. • If ß is known, find a sufficient statistic for a. • Find a sufficient statistic for (a, ß)'
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A: Given: X~Expmm=177
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A: Solution:
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Q: For a population with a mean of u = 100 and a standard deviation of o = %3D 20, a. Find the z-score…
A: Given,mean(μ)=100standard deviation(σ)=20
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A: 19) The correct answer is "Lots of variation in the RHS variable".
Q: For two groups of observations, the following results are available : Group 1 E(X – 5) = 3 Group II…
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Q: 15. If x₁=Y1+ y2, X2 = y2 + Y3, x3 = y3+y₁, where y₁, y2 y3 are correlated variables each of which…
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Q: 3.6.10. Suppose F has an F-distribution with parameters ri 5 and r2 = 10. Using only 95th…
A: Given:F has F-distribution with degree of freedom . Numerator Degrees of Freedom (r1)=5…
Q: For two groups of observations, the following results are available : Group II E(X – 8) = – 11 E(X –…
A: It is given that: For group I: ∑X-5 =3∑X-52 =43 ,N1 = 18 For group II: ∑X-8 = -11∑X-82 = 76 N2 =17
Q: A sample of n = 25 scores has a mean of M = 68. Find the z-score for this sample: a) if it was…
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Q: For a normally distributed population with u= 100 and o = 10, determine the standardized z-value for…
A: Given that,Mean = 100Standard deviation = 10
Q: For a normally distributed population with u = 100 and o = 10, determine the standardized z-value…
A: Formula for standardize z score : z = x -μσ
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Q: 3.4 Solve the below problem: Let Y, and Y, have a bivariate normal distribution: expl- ) - 20 (*)()…
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A: W=aX+Y2 σx2=2σy2=16r=-0.2 X and Y are zero mean random variables.
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Q: Let X1, X2, .., X10 be a random sample from a gamma distribution with a = 3 and ß = 1/0. Suppose we…
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Q: 2. For a population with u = 40 and o = 5, compute the z-score corresponding to each of the…
A: Given data,μ=40σ=5
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A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…
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Q: A sample of n = 25 scores has a mean of M = 68. Find the z-score for the sample: If it was obtained…
A: Given that, M=68,μ=60,σ=10,n=25 The z-score for the sample is, Hence, the z-score for the sample…
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Q: 5. Suppose that X1, X2, ... , Xn are an iid sample from the distribution given below, f(X)e =…
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Q: A sample of n=25 scores has a mean of M=68. Find the z-score for this sample: if it was obtained…
A: Sample size = 25 Sample mean = 68 Mean = 60 Standard deviation = 10
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Q: or each of the following populations, would a score of X= 50 be considered a central score (near the…
A: Any value beyond 2 standard deviations from the mean will be considered as Extreme value
Q: 3. For a population with H = 60 and O = 12, find the z-score corresponding the following X values: X…
A: Given that, Mean = 60 Standard deviation = 12
Q: - Let I = 1.135013 be the sample mean of an iid sample r1,..., x50 from a gamma population Gamma(1,…
A: Given that the sample mean of an i.i.d random sample x1, x2, ..., x50 from a gamma population Gamma…
Q: For the same data set above, if we set our alpha .01, find the critical r from the table:
A: It is given that Number of observations n = 15 SSx = 4, SSy = 25 and SP = 6
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- If the value of Cronbach’s alpha is 0.07, it means ___________; a. Research instrument is not reliable b. Research instrument is internally consistent c. Data is reliable d. Data is internally consistentAssume that as a portfolio manager the beta of your portfolio is 1.15 and that your performance is exactly on target with the SML data under condition 1. If the true SML data is given by condition 2, how much does your performance differ from the true SML? (1) RFR = 0.0625 Rm(proxy) = 0.12 (2) RK = 0.078 Rm(true) = 0.10How many hours of sleep do people get by listening to music? I record 10 subjects’ hours of sleep after they listen to 4 types of music: White noise, Rock, Pop, and Classical. For each music condition, they provide an average amount of hours of sleep they got for 1 week. Using the following data, test whether there is a significant difference in hours of sleep between types of music at an alpha of 0.01. Subject White noise Rock Pop Classical 1 5 5 7.5 9 2 9.5 6.5 7 9 3 7.5 6 7 10 4 8 6 7 8 5 8.5 5 6 8 6 6 5.5 7 10 7 7 6.5 9 9 8 8 5 5 9.5 9 8 6 7 8 10 8 7 7.5 7 What is the null hypothesis? _______________________ What is the alternative hypothesis? __________________ What is the critical F value? _________________
- How many hours of sleep do people get by listening to music? I record 10 subjects’ hours of sleep after they listen to 4 types of music: White noise, Rock, Pop, and Classical. For each music condition, they provide an average amount of hours of sleep they got for 1 week. Using the following data, test whether there is a significant difference in hours of sleep between types of music at an alpha of 0.01. Subject White noise Rock Pop Classical 1 5 5 7.5 9 2 9.5 6.5 7 9 3 7.5 6 7 10 4 8 6 7 8 5 8.5 5 6 8 6 6 5.5 7 10 7 7 6.5 9 9 8 8 5 5 9.5 9 8 6 7 8 10 8 7 7.5 7 Complete the ANOVA summary table: Source of Variation Sums of Squares df MS (Variance) F Between-groups Within-groups (error) Total What do we conclude? Using a bonferroni correction, run a post-hoc test on the type of music and…By selecting a smaller alpha level, it _____.For each of the following situations, identify whether the appropriate test is a paired t-test (for parameter µd) or a two-sample t-test (for parameter µ1 - µ2). Briefly explain your answer. Sixty students were matched by initial pulse rate, with the two with the highest pulse forming a pair, and so on. Within each pair, one student was randomly chosen to drink a caffeinated beverage, while the other one drank an equivalent amount of water. Their pulse rates were measured 10 minutes later, to test whether caffeine consumption elevates pulse rates. To determine whether lack of sleep increases appetite, researchers recruited 50 volunteers and randomly assigned 25 of them to sleep at least 8 hours a night and the other 25 to sleep at most 5 hours a night, for 3 days. Calorie intake was recorded for all 50 volunteers for the 3-day period.
- From the data of the following table: Calculate Spearman's rank correlation coefficient between x and y and determine its type. sThe owner of Showtime Movie Theaters, Inc., would like to predict weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow. Weekly Gross Revenue ($1000s) Televison Advertising ($1000s) Newspaper Advertising ($1000s) 97 6 1.5 90 2 2 95 5 1.5 93 3.5 2.5 95 3 4.3 95 3.5 3.3 95 3.5 4.2 95 4 2.5 a. Use alpha= 0.01 to test the hypotheses Ho : Beta Sub1= Beta Sub2 =0 Ha : Beta Sub1 and/or Beta Sub2 is not equal to zero for the model y=Beta Sub 0+ Beta Sub1 Xsub1+Beta Sub2 Xsub2+E , where X1= television advertising ($1000s) X2+ newspaper advertising ($1000s) Compute the F test statistic (to 2 decimals). Use F table. What is the p-value? - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 2 What is your conclusion? - Select your answer -The overall model is not significantThe overall model is significantItem 3 b. Use alpha =0.05 to…- Let I = 1.135013 be the sample mean of an iid sample r1,..., x50 from a gamma population Gamma(1, 3). Here B > 0 is the unknown parameter of interest. Construct an approximate 95%-CI for B.
- Note- bolded quiz have already answered A possible important environmental determinant of lung function in children is the amount of cigarette smoking in the home. Suppose this question is studied by selecting two groups: Group 1 consists of 23 nonsmoking children 5-9 years of age, both of whose parents smoke, who have a mean forced expiratory volume (FEV) of 2.1 L and a standard deviation of 0.7 L; group 2 consists of 20 nonsmoking children of comparable age, neither of whose parents smoke, who have a mean FEV of 2.3 L and a standard deviation of 0.4 L.*8.31 What are the appropriate null and alternative hypotheses to compare the means of the two groups? *8.32 What is the appropriate test procedure for the hypotheses in Problem 8.31? *8.33 Carry out the test in Problem 8.32 using the criticalvalue method. *8.34 Provide a 95% CI for the true mean difference in FEV between 5- to 9-year-old children whose parents smoke and comparable children whose parents do not smoke. *8.35 Assuming…If X1 and X2 constitute a random sample of size n = 2from an exponential population, find the efficiency of 2Y1relative to X, where Y1 is the first order statistic and 2Y1and X are both unbiased estimators of the parameterusing the z table (table e), find the critical value (or values) for each. a. alpha=0.10, two tailed test b. alpha=0.01, right tailed test c. aplha=0.005, left tailed test