e or define the following. Also mention their applications Law of iterated expectations Law of total variance
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- Sample varianceThese measures give a range where a certain percentage of the data fall. Measures of Central Tendency O Measures of Variation Measures of Position None of the aboveMinitab Source Factor Adj ss 0.047979 0.004451 DF Adj MS 0.015993 0.000032 F-Value 503.06 P-Value 3 0.000 Error Total 140 143 0.052430 2. Cola Weights For the four samples described in Exercise 1, the sample of regular Coke has a mean weight of 0.81682 lb, the sample of Diet Coke has a mean weight of 0.78479 lb, the sample of regular Pepsi has a mean weight of 0.82410 lb. and the sample of Diet Pepsi has a mean weight of 0.78386 lb. If we use analysis of variance and reach a conclusion to reject equal- ity of the four sample means, can we then conclude that any of the specific samples have means that are significantly different from the others? 3. Cola Weights For the analysis of variance test described in Exercise 1, is that test left-tailed, right-tailed, or two-tailed? 4. Cola Weights Identify the value of the test statistic in the display included with Exercise 1. In general, do larger test statistics result in larger P-values, smaller P-values, or P-values that are unrelated to…
- A test statistic works like a Z-score in that it measures the distance between ________________ and __________________ in terms of ____________________.Maxwell’s hot chocolate is concerned about the effect of the year-long coffee advertising campaign on the chocolate sales. The weekly hot chocolate sales from 15 locations (in this year) is collected and summarized in the following table. Descriptive Statistics N Sum Range Minimum Maximum Mean Std. Deviation Variance Sales 15 --- --- 20 197 24.80 3.53 12.46a) Calculate the missing values in the table (Sum and Range)b) The average sales was $26.6 last year and the manager of the firm claim that there is a decrease in the sales this year. Does the data provide sufficient evidence to support the claim of the manager at 1% significance level? Show your calculations in detail and interpret the result.llustration 9.4. The first and third columns of Table 9.3 give the frequency distribution of the average monthly earnings of male workers. Calculate the mean earnings. TABLE 9.3. DISTRIBUTION OF MALE WORKERS BY AVERAGE MONIHLY EXPENSES (Computation of Arithmetic Mean . . . Long Method) Monthly earnings Mid-point No. of workers Rs Rs Rs m fm 3,600 5,320 6,800 9,630 20,500 23,595 34,080 42,250 27.5 - 32.5 30 120 32.5–37.5 35 152 37.5–42.5 40 170 42.5 47.5 45 214 47.5 – 52.5 50 410 52.5 57.5 55 429 57.5 62.5 60 568. 62.5-67.5 65 650 55,650 68,625 59,600 45,050 23,310 14,440 10,700 5,250 2,750 67.5 -72.5 70 795 72.5 -77.5 77.5-82.5 75 915 80 745 82.5-87.5 85 530 87.5-92.5 90 259 92.5-97.5 95 152 97.5 - 102.5 100 107 102.5--107.5 105 SO 107.5 -112.5 110 25 Σ 6,291 4, 31,1 50
- Which of the following are true? (Select all that apply.) 1 An assumption of a linear regression is a consistent dispersion of the observations from the regression line. 2 An assumption of a linear regression is that the residuals form a normal distribution. 3 Omitted variable bias is when you don’t include the dependent variable.Heteroskedasticity means that Group of answer choices Homogeneity cannot be assumed automatically for the model The conditional variance of the error term is zero The observed units have different values The variance of the error term conditional on the explanatory variables is not constant