Provide an example of a random variable with variance of 0
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Provide an example of a random variable with variance of 0
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- The r2represents the shared variance between a predictor and _______Why n-1 is used in the denominator for the variance for a normally distributed continuous RV?A set of solar batteries is used in a research satellite. The satellite can run on only one battery, but it runs best if more than one battery is used. The variance a2 of lifetimes of these batteries affects the useful lifetime of the satellite before it goes dead. If the variance is too small, all the batteries will tend to die at once. Why? If the variance is too large, the batteries are simply not dependable. Why? Engineers have determined that a variance of o? = 23 months (squared) is most desirable for these batter les. A random sample uf 22 batteries gave a sarmple variance of 15.6 months (squared). Using a 0.05 level of signlficance, test the claim that g? 23 against the claim that o? is different from 23. (a) What is the level of significance? State the null and alternate hypotheses. O H,: a = 23; H, o?> 23 O H o? > 23; H,: o? = 23 O H: a? - 23; H, a² 0.100 O 0.050 < P-value < 0.100 O 0.025 < P-value < 0.050 11:01 AM P Type here to search 75°F Mostly sunny 7/30/2021
- show complete solutionThe teachers at a primary school have devised a particular method to teach arithmetic. They want to find out if this method produces dispersion in mean scores. In order to do so, at first, they took a sample of 25 students who were taught that particular method of arithmetic. Then their test scores were taken into consideration, assuming that the test scores of all the students in that school are approximately normally distributed. Their test score produced an average variance of 180 while the population is assumed to produce a test score of 165. Using a 95% confidence level, can you conclude that the variance of all the test scores of that primary school is different from 165?A set of solar batteries is used in a research satellite. The satellite can run on only one battery, but it runs best if more than one battery is used. The variance ?2 of lifetimes of these batteries affects the useful lifetime of the satellite before it goes dead. If the variance is too small, all the batteries will tend to die at once. Why? If the variance is too large, the batteries are simply not dependable. Why? Engineers have determined that a variance of ?2 = 23 months (squared) is most desirable for these batteries. A random sample of 30 batteries gave a sample variance of 15.2 months (squared). Using a 0.05 level of significance, test the claim that ?2 = 23 against the claim that ?2 is different from 23. (a) What is the level of significance?State the null and alternate hypotheses. Ho: ?2 = 23; H1: ?2 ≠ 23Ho: ?2 > 23; H1: ?2 = 23 Ho: ?2 = 23; H1: ?2 < 23Ho: ?2 = 23; H1: ?2 > 23 (b) Find the value of the chi-square statistic for the sample. (Round your answer to two…
- provide complete solutionA professor claims that exam scores for non-accounting majors are more variable than for accounting majors. Random samples of 29 non-accounting majors and 29 accounting majors are taken from a final exam. Test at the 1% level the null hypothesis that the two population variances are equal against the alternative that the true variance is higher for the non-accounting majors. Assume the populations are normally distributed. Non-Accounting Accounting H₁:0² = 0² H₁:0² > 0² C. H₂:0² = 0² H₁:0² #0² nx = 29 ny = 29 S The critical value is X 2 represented by Ho and the alternative hypothesis is represented by H₁. Choose the correct answer below. OB. Ho: 0²20² H₁:0² <0² = 1611.016 = 446.238 2 OD. H₂:0² = 0² o H₁:0² <0² The test statistic is F = 3.610. (Round to three decimal places as needed.) (Round to two decimal places as needed.)A set of solar batteries is used in a research satellite. The satellite can run on only one battery, but it runs best if more than one battery is used. The variance o of lifetimes of these batteries affects the useful lifetime of the satellite before it goes dead. If the variance is too small, all the batteries will tend to die at once. Why? If the variance is too large, the batteries are simply not dependable. Why? Engineers have determined that a variance of o = 23 months (squared) is most desirable for these batteries. A random sample of 30 batteries gave a sample variance of 15.4 months %3D (squared). Using a 0.05 level of significance, test the claim that o? = 23 against the claim that oʻ is different from 23. (b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) What are the degrees of freedom?
- A correlation of +.20 means that [blank] of the variance in the outcome variable is accounted for by the predictor variable.A nail is needed to hang up a 50 lb painting on a wall. A technician has two nails in his pocket, where the probability that both nails meet the specific weight of the painting is 50%, the probability that only one of them meets the specific weight is 20%, and the probability that neither of them meets the specific weight is 30%. If the number of nails that meet the specification is a random variable, find the variance of the data of that random variable.what does MS stand for in analysis of variance?
