b) The variance estimator from the two-stage cluster sampling will be always smaller than the variance estimator from the one-stage cluster sampling. (1) True (2) False
Q: Given this already solved problem, how could you determine whether homogeneity of variance is…
A: The hypothesis for the homogenity of variances is H0 : σ12=σ22 againstH1 : σ12≠σ22 Adding the…
Q: Suppose a population has three values 13, 17 and 24. What is its variance?
A: Given: n=3 The mean of the data is obtained as below: Mean=∑xn=13+17+243=543=18 The mean is 18.
Q: If an analysis of variance produces a value of F = 1.00, then all the samples have the same mean.…
A: We know that- The value of F is the ratio of two mean squares. When the value of F = 1, then there…
Q: The analysis of variance methodology will show that there really is a difference between the means…
A: When the between-group variance is significantly larger than the within-group variance, then there…
Q: We are running a hypothesis test to see if weight of African zebras differs significantly from that…
A: The pooled variance is 324, the sample size for the African zebras is 9, and sample size for the…
Q: What is an everyday example of variance within samples?
A: If we need to know the variance within samples, we need to use ANOVA Test.
Q: to population variance, we get an estimate of the sample variance by ① . This is known as ② . This…
A: Population Mean and Variance μ = 1n∑i=1nxiσ2 =1n∑i=1nxi-μ2 Sample mean and variance x¯=1N∑i=1Nxi…
Q: Suppose that average male weight in the US is 175 pounds with a standard deviation of 25 pounds.…
A: It is given that population mean µ=175 pounds, population standard deviation σ=25 pounds. Sample…
Q: To obtain a maximum amount of variance, an item ought to have a degree of difficulty of what?
A: To obtain a maximum amount of variance an item ought to have a degree of difficulty is the number of…
Q: 2) If all of the values in a set of data were doubled, what would happen to the variance?
A: We need to use the concept of variance.
Q: Professor Hayashi wants to see if a new Canvas Homework system has an effect on how well students…
A: Solution: Given information: n= 9 Sample size x= 81.7 Sample mean s2= 32.49 Sample variance μ=…
Q: How do you find the standard error estimate of two disjoint populations, assuming they have the same…
A:
Q: The sample correlation for 68 pairs of annual returns on common stocks in country A and country B…
A: The followings are specified: The no. of sampled paired observations, n=68. The sample correlation…
Q: When conducting a t-test for independent samples we have 2 ways of computing the variance. One way…
A: Let X and Y are two different samples. The sample size of X data is n1 with sample mean (x̄) and the…
Q: What mathematical operations could I do to every score in my distribution list that would have no…
A: Mathematical operation Adding/subtracting
Q: 4) Explain why outliers are weighted higher in the Variance equation WIR. n-1 (xi -x)2 Is this a…
A: Outliers are the data points that does not follow the common trend of the data. Data with many…
Q: Two coworkers commute from the same building. They are interested in whether or not there is any…
A: Null Hypothesis : Variation in the commute time of two coworkers are same. Null Hypothesis: H0: σ1 =…
Q: Professor Hayashi has implemented a new book for his Fall 2013 statistics course. He wants to see if…
A:
Q: For tests of Homogeneity of Variance the preferred outcome is to reject the Null hypothesis. True…
A:
Q: The weight of 2 month old babies is normally distributed with a mean of 12 pounds and a variance of…
A: From the given information, μ=12σ=9 a. The required percentage of weight more than Tina's weight…
Q: Carefully distinguish between the one-way analysis of variance framework and the two-way analysis of…
A: The Analysis of variance is a technique used in statistics for the analysis difference in group…
Q: hich is unknown to us, so we use the sample variance to estimate the standard error for our…
A: As given, n1: The sample size of blood pressure of African zebras. = 5 n2: The sample size of blood…
Q: An alternative hypothesis must include the anticipated direction of variance. True False
A: We have given statement "An alternative hypothesis must include the anticipated direction of…
Q: A business school has a goal that the average number of years of work experience of its MBA…
A: given dataσ2 = 0.5 years ∴ σ = 5claim : μ>3 years
Q: Last school year, the student body of a local university consisted of 35% freshmen, 25 % sophomores.…
A: Claim : significant change in % of students for each classification for this year as compared to…
Q: If a set of data is normally distributed with a mean of 20 and a variance of 16, a z-score of -3.8…
A: Let raw score is X. Then Z Score is given by, Z= (X- mu)/sigma Where mu is mean And sigma is…
Q: Suppose you are interested in studying regional differences in crime rates. You take a random…
A: Given that; South n = 100 X1 = 55 ?1 2 = 5.78 North n = 100 X2 = 50 ?2 2 = 6.72 By using two sample…
Q: order to ensure that there is not a large disparity in the quality of education at various schools…
A: Given Alpha=0.05 n=27 Mean=189.720 Standard deviation=2.230
Q: Two coworkers commute from the same building. They are interested in whether or not there is any…
A: The test is to check whether the first worker thinks that he is more consistent with his commute…
Q: Two students sit for a university final exam whose scores are known to be normally distributed. The…
A: If raw scores are given by X= 63, Y= 93 Then z score for x is given by, Z= (X- mu)/sigma Where mu is…
Q: A biotechnology company produced 222 doses of somatropin, including 12 which were defective Quality…
A: here it is without replacement model so use hypergeometric distribution
Q: The mean age of children at the X College daycare center is 6. The ages are skewed in a negative…
A: μ=6 σ2= 5.1
Q: We are running a hypothesis test to see if blood pressure of African zebras differs significantly…
A: Given information African zebras Mean µ = 180 n1 = 9 Arabian Zebras Mean µ = 190 n2 = 16 Pooled…
Q: In order to ensure that there is not a large disparity in the quality of education at various…
A: When the given sample is less than 30 then it is a small sample test. Chi-square test and t test are…
Q: Explain what would happen to the F ratio of this analysis of variance if 2 points were added to each…
A: We need to explain what would happen to the F ratio of this analysis of variance if 2 points were…
Q: Students in one class are asked to complete the same questionnaire 3 times throughout the semester:…
A: Analysis of variance is an inferential statistical procedure.
Q: Two coworkers commute from the same building. They are interested in whether or not there is any…
A: The level of significance is, The variance of first worker's time is 12.2The variance of second…
Q: e have a sample of size 9 for the African zebras with mean 650 and a sample of size 16 for the…
A: Following information is given: The sample size of African zebras (population A) = 9 The sample…
Q: Is there enough evidence to question Harley’s claim of 10 decibels?
A: Given: Sample size (n) = 30 Sample variance (s2) = 20 Hypothesized variance (σ2) = 10
Q: Researchers working for a certain airline are investigating the weight of carry-on bags. The…
A: The objective of the question is to understand the effect of increasing the sample size on the bias…
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- We are running a hypothesis test to see if blood pressure of African zebras differs significantly from Arabian horses. We assume blood pressure in both populations is normally distributed and both populations have the same population variance in blood pressure which is unknown to us, so we use the sample variances to estimate the standard error for our calculations. We have a sample of size 9 for the African zebras and a sample of size 16 for the Arabian horses. How many degrees of freedom does our test statistic have?Explain whether homogeneity of variance is satisfied for this analysis, and be clear on how you decided this.One sample has n = 10 scores and a variance of s2 = 20, and a second sample has n = 15 scores and a variance of s2 = 30. What can you conclude about the pooled variance for these two samples?
- We are running a hypothesis test to see if weight of African zebras differs significantly from that of Arabian horses. We assume weight in both populations is normally distributed and both populations have the same population variance in weight which is unknown to us, so we use the sample variances to estimate the standard error for our calculations. We have a sample size of 9 for the African zebras with mean 650 and a sample of size 16 for the Arabian horses with mean 658. If the pooled variance is 36, then what is the value of the standardized test statisitic for our data?Records from previous years for a casualty insurance company show that its clients average a combined total of 1.9 auto accidents per day, with a variance of 0.31. The actuaries of the company claim that the current variance, oʻ, of the number of accidents per day is not equal to 0.31. A random sample of 17 recent days had a mean of 2 accidents per day with a variance of 0.62. If we assume that the number of accidents per day is approximately normally distributed, is there sufficient evidence to conclude, at the 0.05 level of significance, that the actuaries are correct? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. p H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO O20 (c) Find the value of the test statistic. (Round…A drug which is used for treating diabetes has potentially dangerous side effects if it is taken in doses which are larger than the required dosage for the treatment. A medical researcher believes that the variance in dosage is different for two tablets made by different production facilities. The sample variance of a sample of 11 dosages of tablet "A" is 0.013 . The sample variance of a sample of 28 dosages of tablet "B" is 0.01 . Construct the 90% confidence interval for the ratio of the population variances. Round your answers to four decimal places.
- Recent evidence suggests that graduating from college during bad economic times can impact the graduate's earning power for a long time (Financial Times, June 1, 2012). An associate dean at a prestigious college wants to determine if the starting salary of his college graduates has declined from 2008 to 2010. He expects the variance of the salaries to be different between these two years. The data are shown in the accompanying table and are contained in the accompanying Excel file. (You may find it useful to reference the appropriate table: z table or t table) Let Sample 1 be the sample of the starting salary of college graduates in 2008 and Sample 2 be the sample of the starting salary of college graduates in 2010. a. Specify the competing hypotheses that determine whether the starting salary of college graduates has declined from 2008 to 2010. (Which one is correct) H0: μ1 − μ2 = 0; HA: μ1 − μ2 ≠ 0 H0: μ1 − μ2 ≥ 0; HA: μ1 − μ2 < 0 H0: μ1 − μ2 ≤ 0; HA: μ1 − μ2 >…8 If the analysis of variance F-test leads to the conclusion that at least one of the model parameters is nonzero, can you conclude that the model is the best predictor for the dependent variable y? Can you conclude that all of the terms in the model are important for predicting y? What is the appropriate conclusion?Suppose Y = 6x-8, where x is a random variable with mean 2 and a variance of 4/3. Determine the variance of the random variable y
- Two coworkers commute from the same building. They are interested in whether or not there is any variation in the time it takes them to drive to work. They each record their times for 20 commutes. The first worker's times have a variance of 12.1. The second worker's times have a variance of 16.9. The first worker thinks that he is more consistent with his commute times and that his commute time is shorter. Test the claim at the 10% level. What is s1 in this problem? What is s2 in this problem?What correctly represents the coefficient of determination in terms of the variance that is an output from the analysis of variance table?It is possible to have a variance of 625,000625,000 for some data set. true or false