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- 82. What is the linear correlation coefficient, r, for the following set of sample data? 0.8468 0.9747 0.9257 0.962131. Explain minimum variance unbiased estimation with example. Let yı, y2, ..., Yn be a random sample from a population with mean µ and variance oʻ. Show that among all linear combinations Eay, which are i = 1 unbiased estimators of µ, thè sample mean y has the smallest variance.11. Thomas is studying the relationship between fitness and emotional well-being in children. One of his DVs is each child's weight. For his population of interest, u=85 (in pounds) and o = 8. Suppose Thomas repeatedly takes random samples of 225 children from this population, and for each sample he calculates the mean. А. What will be the shape of the distribution of sample means? a. positively skewed b. negatively skewed c. normal d. it's impossible to tell without knowing the shape of the original population distribution В. What will be the mean of the distribution of sample means? C. What will be the standard error of the distribution of sample means? D. Suppose Thomas increased the sample size from 225 to 300. What would happen to the standard error? a. it would increase b. it would decrease c. it would stay the same d. it's impossible to tell without knowing the shape of the original population distribution
- Suppose that the average salary of health systems professionals is normally distributed with µ=KES 40,000 and σ = KES 10,000. What proportion of professionals will earn KES 24,800 or less? What proportion of professionals will earn KES 53,500 or more? What proportion of professionals will earn between KES 45,000 and KES 57,000? Calculate the 80th percentile. Calculate the 27th percentile10. Claim: P₁ = P₂; α = 0.05. Sample statistics: x1 = 265, n₁ - X2 204, 2 - 301, 247 'Da. Write a table with observations for these samples. b. Using the table, explain (calculate) where the S=1.22 comes from c. Conduct a two-tailed comparison of the two groups with a=.05. Please remember to state your hypothesis. Now look at: d. Write a table with observations for these samples. e. Using the table, explain (calculate) where the S=6.65 comes from f. Conduct a two-tailed comparison of the two groups with a=.05. g. What changed between [a-c] and [d-f]? what impact did it have?
- If a point on a control chart falls outside one of the control limits, this suggests that the process variation is random and should not be investigated. O a. TRUE O b. FALSE PAGE NEXT PAGE ype here to search 99+ SUS35. Statistics students in Oxnard College sampled 10 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The bivariate data are shown below: Number of Pages (xx) Cost(yy) 757 134.55 538 106.7 782 142.3 461 83.15 597 116.55 372 74.8 328 75.2 480 92 978 154.7 261 58.15 A student calculates a linear modely = x + . (Please show your answers to two decimal places)Use the model to estimate the cost when number of pages is 849.Cost =$ (Please show your answer to 2 decimal places.)5:23 Pulse = 101 of ... 3.00-3.79 3.80-4.59 4.60-5.39 5.40-6.19 6.20-6.99 Pulse > 11 5 3 0 1 Chosen classes can vary. Aa 34. Twenty-nine executives reported the number of telephone calls made during a randomly selected week as shown here. Construct a stem and leaf plot for the data and analyze the results. 22 14 12 14 12 9 54 9 54 12 16 12 12 14 49 10 14 8 21 37 28 36 22 9 33 58 31 41 19 3 18 25 28 52 35. The National Insurance Crime Bureau reported that these data represent the number of 51 G
- Justin wants to know whether a commonly prescribed drug does improve the attention span of students with attention deficit disorder (ADD). He knows that the mean attention span for students with ADD who are not taking the drug is 2.3 minutes long. His sample of 12 students taking the drug yielded a mean of 4.6 minutes. Justin can find no information regarding σx , so he calculated s2x =1.96. a. Identify the independent and dependent variables. b. In a sentence, state the null hypothesis being tested. c. Using symbols, state the null and alternative hypotheses. d. Determine the critical region using a one-tailed test with alpha = .05. e .Conduct the hypothesis test (Do the math and compare the t-critical and t-obtained values). f. State your conclusions in terms of H0 (Should you reject the H0 or fail to reject/accept the H0). g. Based on your analysis, is there a relationship between the drug and attention span?Suppose I want to sample the household incomes for EBR parish. Let's say I start with a simple random sample of 100 residents and calculate the sample mean. How would the sampling distribution of change if I increase the sample size to 1,000 residents?1. A study compared the number of tree species in unlogged forest plots to similar plots logged 8 years earlier. Independent random samples of both logged and unlogged plots were analyzed and the number of tree species was recorded. Tables 1 and 2 present the Shapiro-Wilk normality test for both types of forest plots and the Independent Samples t-test results. Use the information presented in these tables to answer the questions. Table 1: Tests of Normality Tests of Normality Kolmogorov-Smirnov Shapiro-Wilk Forest Plot Statistic df Sig. Statistic df Sig. Tree_Species Logged .181 12 .200 .936 12 .444 Unlogged .110 14 .200 .945 14 .480 *. This is a lower bound of the true significance. a. Lilliefors Significance Correction Table 2: Independent Samples Test Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Difference Mean Std. Error F Sig. t df Sig. (2-tailed) Difference Difference Lower Upper Equal variances…