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- 21 - The average weekly income of 50 students randomly selected from a class is 250 TL with a variance of 16, a weekly average working time of 15 hours and a variance of 16. The average weight of the students was 60 kg and the variance was 9, and the average of their height was 160 cm and the variance was 25. Based on this information, which of the following is true of the variable with the greatest variation between observations? a) Income variable B) Income and working time variable NS) Height variable D) Working time variable TO) Weight variableAn empirical researcher reports the following for a particular stock: “In ourdata sample we find that the variance of (de-trended) ex post stock prices is128 whereas the variance of (de-trended) actual stock prices is 110.” Whatmay this tell us? Are there any potential problems with what it may tell us?Which statement is not correct?A. Spurious correlation can often be reduced by expressing X and Y in per capita terms.B. Autocorrelation is mainly a concern if we are using time - series data.C. Heteroscedastic residuals will have roughly the same variance for any value of X.D. Standardized residuals make it easy to identify outliers or instances of poor fit. ( don't hand writing solution)
- 2) In the population, IQ scores are normally distributed with a mean of 100 and standard deviation of 15. We repeatedly pulled random samples of 50 individuals from the population and measured their IQ and the resulted mean was 92 with a standard deviation of 8. Test at a =0.05 significance if there is any statistically significant difference in the variance of the result. D. Focus DELLSuppose that contamination particle size (in microm- eters) can be modeled as f(x)=2x³ for 1 < x. Determine the mean of X. What can you conclude about the variance of X?If Y is Normally distributed , and p(y < 170 ) = 0.14 p ( y > 200 ) = 0.03 then the values of the mean and variance of Y , respectively are
- Imagine a family member looks over your shoulder as you look at the variance equation Σki=1(xi − μ)2P(X = xi) and asks why the P(X = xi) term is there. What would you say?The mean age of 31 slot mechanic player is 51.3 years, and the standard deviation is 6.8 years.the mean age of a different sample of 35 roulette player is 54.8 year and standard deviation is 3.2 years. Can it be concluded at alpha = 0.01 that the mean age of slot machine players is less than those players roulette? Assume the variance are equal Step 1= Step 2= Step 3= Step 4=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…
- 13. STATEMENTS FIRST: CORRELATION CAN BE USED TO DETERMINE THE DEGREE OF RELATIONSHIP BETWEEN VARIABLES SECOND: COEFFICIENT CORRELATION RANGES FROM 0-1A. IF BOTH STATEMENTS ARE TRUEB. IF BOTH STATEMENTS ARE FALSEC. IF THE FIRST IS TRUE AND THE SECOND IS FALSED. IF THE FIRST IS FALSE AND THE SECOND IS TRUE 14. STATEMENTS FIRST; STANDARD DEVIATION IS THE SQUARE ROOT OF THE VARIANCE SECOND: DISPERSION GIVES US THE IDEA OF THE DEGREE OF SCATTERING OF THE DATA IN THE DISTRIBUTION A. IF BOTH STATEMENTS ARE TRUEB. IF BOTH STATEMENTS ARE FALSEC. IF THE FIRST IS TRUE AND THE SECOND IS FALSED. IF THE FIRST IS FALSE AND THE SECOND IS TRUE 15. CHARACTERISTICS OF THE NORMAL CURVEI. CURVE IS ASYMMETRICAL ABOUT MEANII. TAILS OF THE NORMAL CURVE ARE ASYMPTOTIC RELATIVE TO THE HORIZONTAL LINEIII. TOTAL AREA UNDER THE NORMAL CURVE IS EQUAL TO 1IV. NORMAL CURVE ARE SUBDIVIDED INTO THE THREE STANDARD DEVIATION A. I, II, AND III ONLYB. II, III, AND IV ONLYC. I, II, III, AND IVD. I, II, AND IV ONLYE. I,…QUESTION 1 Manama cement factory produces precast cement blocks, last year's record showed the mean weight per block as 21.05 KG. This year they have sampled 50 units, and the maximum acceptable weight per block was 29.85, with a variance of 13.51 KG. Calculate the z value associated with this sample? (Write your answer in 2 decimals places e.g. 0.99)A certain IQ test is known to have a population mean of 100 and standard deviation of 15 in the general population. You want to test whether psychology majors have a different average IQ than the population as a whole. Assume the variance of IQ is the same for Psych majors as it is in the general population. Suppose that Psychology majors actually have an average IQ of 108. If you do a 2-tailed test at α= .05 with a sample of 56 Psychology majors, you will be able to reject the null hypothesis if the mean IQ of your sample is below [L] or above [H]. Find L and H values. Options listed below. [L] answer choices: 96.08, 98.00, 103.92, 104.08, 110.00, 111.92. [H] Answer choices: 96.08, 98.00, 103.92, 104.08, 110.00, 111.92.
