3. If x1, X2, X3, ..., Xn is a random sample from a normal 1 E xí is an unbiased estimator of distribution N (µ, 1) show that t=- i = 1 2+1.
Q: The researcher wanted to know whether there is a relationship between the number of branches a bank…
A: From the provided information, Number of observation (n) = 8 Number of Branches (x) Deposits…
Q: 10. Find mean deviation and its coefficient using by A.M. and Median. Values 31, 46, 47, 48, 52, 58,…
A:
Q: A coach uses a new technique in training middle distance runners. The times for 8 different athletes…
A:
Q: Suppose that hemoglobin levels in white males over age 11 are normally distributed with variance…
A: From the provided information,
Q: Conducting a one sample z-test rather than a paired samples t-test (same group tested twice) would…
A: We have given that the statement. Here, need to find out the correct option.
Q: beats Suppose that pulse rates among healthy adults are normally distributed with a mean of 80 beats…
A:
Q: Consider the department store market in Sydney. Two players, David Jones and MYER, are deciding the…
A:
Q: No. of Hours Playing Reduction of Academic Online Games (x) Performance (y) 2 3 4 6. 7 8. 8. 10 8.…
A: We have given that, Online games(X):- 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 Performance (Y) :- 3, 6,…
Q: the computer took the H0 and Ha as H0: p > - 0.82 (greater than or equal to) Ha: P < 0.82
A: We need to answer the reason behind, the computer taken the H0 and Ha as: H0: p ≥ 0.82 (greater…
Q: Do the following as indicated: (Use the data below) 1. Report the assumption check and its…
A: 1. Assumptions, interpretation and tests: The assumptions of Multiple Regression Model are as…
Q: (@) 1+ w? 6w? Find the average power A random process has the power density spectrum Šxx in the…
A:
Q: If n=22, ¯xx¯(x-bar)=39, and s=6, find the margin of error at a 98% confidence level Give your…
A:
Q: Test the claim that the proportion of men who own cats is larger than 90% at the 0.01 significance…
A:
Q: Below are the ozone concentrations in random samples of areas of Metro Manila and the rest of…
A:
Q: a. Eric is meeting Alyssa's flight, which departed on time. What is the probability that Alyssa will…
A:
Q: Find the average power of the random process X(t) which has the power spectral density |@< 4n Sxx…
A:
Q: al to 0.2. Find the p-value. A. 0.5186 B.0.0528 C.0.0015 D. 0.1967
A: Given n=40 Sample proportion=40%=0.40
Q: The salaries of the employees at four companies are summarized below. Answer the questions about ti…
A: For the given data Select the correct choice
Q: t and evaluate the calibration curve by plotting absorbance versus concentration. Calculate the mean…
A: Cu standard (ppm) Absorbance 1 Absorbance 2 Absorbance 3 Mean±SD 1 0.0521 0.0520 0.0522…
Q: You are testing the claim that the mean GPA of night students is different than the mean GPA of day…
A: Given that Claim : The mean GPA of night students is different from mean GPA of day students.…
Q: A sample size of 50 items was drawn from a large population for inspection. The lot fraction…
A:
Q: Solve the following problems, Show all pertinent solutions. 1. Consider the following conditions. x…
A: Given, x¯ = 79s = 5.26n = 19α = 0.01 We have to test the hypotheses, H0: μ = 76VsHa: μ ≠ 76
Q: A recent survey of 8 social networking has a mean of 13.1 million visitors for a specific month with…
A:
Q: At the 5% significance level, does it appear that price of bus trips per week, population or average…
A: Solution: Given information: k= 4 independent variables n= 26 observation.
Q: Construct a confidence interval at a 80% confidence level. Give your answers to one decimal place.…
A: In a survey, 27 people were asked how much they spent on their child's last birthday gift. The…
Q: 6.8 Obtain a test for Ho:B = c
A:
Q: You want to conduct a survey to determine the proportion of people who favor a proposed tax policy.…
A: The margin of error is computed by taking the product of standard error and critical value.
Q: The table presents 19 random counties in a certain state grouped according to the county's dominant…
A: Given that table presents 19 random counties in a certain state grouped according to the county's…
Q: Obtain a test for Ho: B1 = c versus H1: B1 # c.
A:
Q: You want to conduct a survey to determine the proportion of people who favor a proposed tax policy.…
A: The margin of error for any population parameter is computed by taking the product of standard error…
Q: Using 0.05 level of significance, test the hypothesis that proportions of coutnries with number of…
A:
Q: 1. Samples of size 80 are selected from a population with mean 32 and standard deviation of 8.2. The…
A:
Q: 4. Interval estimation of a population mean, population standard deviation known The 2008 Workplace…
A:
Q: Solve the following problems. Show your complete solutions and interpret the results on a separate…
A: It seems that, there is a typo in the upper limit of the second class limit. It should be 50 instead…
Q: An obstetrician read that a newborn baby loses on average 7 ounces in the first two days of his or…
A: From the provided information, Sample size (n) = 35 Sample mean (x̄) = 6.8 Population standard…
Q: A poll of 1182 Americans showed that 47% of the respondents prefer to watch the news rather than…
A: From the provided information, Sample size (n) = 1182 Sample proportion (p̂) = 0.47 Level of…
Q: Do the following as indicated: (Use the data below) 1. Report the assumption check and its…
A: 1. Assumptions, interpretation and tests: The assumptions of Multiple Regression Model are as…
Q: 41 Brunci 27 China 45 Georgia India 37 29 Indonesia 49 Iran 47 Japan Kuwait 39 41 Кутдуzstan Lebanon…
A: African countries asian countries
Q: Ten novels were randomly selected, and the number of pages were recorded as follows: 415 398…
A: Solution
Q: 6.8 Obtain a test for Ho: B =
A:
Q: 7 Example 2 (a). Show that the sample of 1/0 for distribution. mean x is an unbiased estimator
A:
Q: A certain collector is choosing between 4 different paintings to buy. To help him decide, he asked…
A:
Q: 2. Barangay security members were selected according to whether they prefer day or night duties. 3.…
A: Given that 7. A researcher wants to conduct a study to determine the performance of law students in…
Q: Each prize winners will be randomly selected from 25 people attending a party. There will be 1st,…
A: here given there are total 25 people and total 8 prize are there here use counting Principle
Q: 2. The following distribution shows the scores of 50 students in a 200-item test in statistics.…
A: The required data is as follows Scores Number of Students 150-154 2 155-159 3 160-164 4…
Q: isn't it should use the normal table to find z value?
A:
Q: Problem Four: In a dental clinic with one dentist, the average number of patients from time to time…
A: Given that - In a dental clinic with one dentist, the average number of patients from time to time…
Q: An important issue in conservation biology is how dispersal among populations influences the…
A:
Q: percentage of vehicles with the following speeds on this section of I-95: greater than 75 mph. Use…
A: here given Suppose that on a certain section of I-95, with a posted speed limit of 65 miles per…
Q: find the probability that customers occupying 25 tables would have an average time of less than dine…
A: Given that mean =1.2,s.d =0.4,n =25
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- Let Y₁, Y2, ..., Yn be a random sample from a population with a Gamma distribution with parameters a = 3 and unknown. Find the Minimum Variance Unbiased Estimator for B. Show your work, and explain how you know your estimator is the MVUE.Show that if X₁ and X₂ are standard normal variate with correlation cofficient p between them, then the correlation cofficient X and X2 is given by p².Suppose Y₁, Y2, …‚ Yn is an iid sample from a Poisson(X) distribution, where À > 0. Is Ÿ a consistent estimator of X? Explain.
- Explain at least two differences between the following two point estimations of the population variance. 22 = Σ'1(X, – X)2 n-1 62 _ Σ 1 (X - X)2 =1 = nQ3) a) What is Mean Squared error (MSE) of an estimator ô ? Show that MSE (Ô) = Variance (Ô ) + (Bias ( ))? b) Suppose that X denotes the mean of a random sample of size n from a normal population with mean u and variance of whereas Y denotes the mean of a random sample of size n from a normal population with mean u and variance ož .Let the estimator for µ be a = aX +(1-a)Y i) Show that A is an unbiased estimator of µ. ii) For what value of a would the variance of this estimator be a minimum? c) Let X be a continuous random variable that is uniformly distributed over (0, B). Find the moment estimator of ß.13. The population relationship between household food expenditure, household income and household size is log(FoodExpenditure) = a + B, log(HH _Income)+ B,HH _size +u . Suppose you are interested in estimating this population relationship. In which of the following cases OLS estimator of B and B2 will be biased, assume what's described is the only problem? a) The variance of u is correlated with log(HH_Size). b) The mean of u depends on log(HH_ Size). c) The variance of u is large. d) Both a) and b) will cause biased estimates of the coefficients.
- 1. You plan to use a rod to lay out a square, each side of which is the length of the rod. The length of the rod is μ, which is unknown. You are interested in estimating the area of the square, which is μ^2. Because μ is unknown, you measure it n times, obtaining observations X1, X2,..., Xn. Suppose that each measurement is unbiased for μ with variance σ^2. a. Is X^2 a biased or an unbiased estimate of the area of the square? b. Find an unbiased estimate of the area of the square.2. The average zone of inhibition (in mm) for mouthwash L as tested by the medical technology students has been known to be 9mm. A random sample of 10 mouthwash L was tested and the test yielded an average zone of inhibition of 7.5mm with a variance of 25 mm. Is there enough reason to believe that the anti-bacterial property of the mouthwash has decreased? Test the hypothesis that the average zone of inhibition of the mouthwash is no less than 9mm using 0.05 level of significance. A. State the hypotheses. B. Determine the test statistic to use. C. Determine the level of significance, critical value, and the decision rule. D. Compute the value of the test statistic. E. Make a decision. F. Draw a conclusion.Let Y₁, Y2, Y3, Y4, Y5 and X₁, X₂,..., X, be independent and normally distributed random samples from populations with means ₁ = 2 and ₂ = 8 and variances ₁²=5 and 0₂² = k₁ respectively. Suppose that P(X-Y> 10) = 0.02275, find the value of 0₂² = k.
- Suppose X1, X2,...,X, from a real-valued random variable X with unknown mean u and standard deviation o. What is the estimator of the signal to noise ration u/o.?Suppose we want to test the hypothesis of Ho : u 2 1 versus H. : u < 1, and a random sample of n = 49 gives mean = -1 and standard deviation s = 6.4516. What is the %3D p-value of the test? (a) p-value=0.005 (b) p-value=0.010 (c) p-value=0.015 (d) p-value=0.020 (e) p-value=0.02511. 11. In a part of an oil refinery, oil flows through three meters A, B and C which give readings of flow that are subject to errors with zero mean and a common variance. The random variables X,Y and Z denotes the observed readings respectively for these meters while the true (unknown) readings are 01, 02 and 03 respectively with 03 = }(0, + 02). Thus E(X) = 61, E(Y) = 02 E(Z) = 2) = ;(0, + 02)