You are conducting a test of the claim that the row variables and the column variables are dependent in the following contingency table. Ho: The variables are independent Ha: At least two variables are dependent (Claim) Y A 32 13 29 18 67 24 Expected Frequencies (row i and column j) (Total;) - (Total;) E j= Total Give all answers rounded to 3 places after the decimal point, if necessary. (a) Enter the expected frequencies below: Y A. B Residual Values (Row i and column j) Chỉ Square Test Statistic Degrees of Freedom E. ) x (0-E) Σ (0,, df = (#ofRows – 1)(#ofColumns – 1) (b) Enter the Residual Values below:
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- In a large lot of manufactured items, 10% contain exactly one defect and 5% contain more than one defect. If ten items are randomly selected from this lot for sale, the repair cost total Y1 +3Y2, where Y1 denote the number among the ten having one defective and let Y2 denote the number with two or more defects. Find the expected value and variance of the repair cost. Assume that Cov(Y1, Y2) =-0.05.The number of planes to arrive at the Dubai International Airport over N days wererecorded and inputted into MINITAB for analysis. Exhibit 1 was subsequentlygenerated.Exhibit 1Stem-and-Leaf Display: No. of ArrivalLeaf Unit = 1 N =*5 2 0112310 2 56899** 3 0001123(***) 3 666667888812 4 011347 4 577892 5 00i. Calculate he missing values *, ** and *** [3]ii. Find the value of thea) Median b) Highest value c) Mode c) Using the stem and leaf diagram in Exhibit 1,i. Form a frequency table by identifying the class intervals implicitly.Using the table created in 2ci) above,ii. Calculate the sample mean iii. Calculate the sample varianceIn a clinical study, a random sample of 540 participants agree to have their blood drawn, which is to be examined for the presence of antibodies against a certain contagious disease. It is found in 22% of the blood samples, which experimenters hope to extrapolate to the general population. From this random sample, 10 participants' blood samples are selected at random. If X is the number of samples out of the 10 who have these antibodies, what can we say about X? A. The sample size is not large enough for us to approximate X using a normal distribution B.The expected value of X is 22 C. X can be approximated using a normal distribution in lieu of a binomial distribution D. X has a sampling distribution that is normal
- Calculate Pearson’s coefficient of skewness. Hence, describe the shape of thedistribution of the waiting time for counter A and B.The t-test on individual model coefficients is a test on the significance of the coefficient of apredictor as if it were the last variable added to a model that already contains all the otherpredictors. (true or false?)A researcher is using a two-tailed hypothesis test with α = 0.01 to evaluate the effect of a treatment. If theboundaries for the critical region are t = ± 2.845, then how many individuals are in the sample?A. n = 23B. n = 22C. n = 21D. n = 20E. cannot be determined from the information given
- Assume that the following tables are the results of Diagnostic tests. Why do you use the following test? What is the Null hypothesis? Interpret the results. White Test F-statistic 3.017495 Prob. F(14,29) 0.58 Obs*R-squared 26.08995 Prob. Chi-Square(14) 0.52 Why do you use the following test? What is the Null hypothesis? Interpret the results. Lagrange multiplier (LM) test F-statistic 22.78404 Prob. F(1,38) 0.0000 Obs*R-squared 16.49278 Prob. Chi-Square(1) 0.0000 Why do you use the following test? How can you interpret the results? Variance Inflation Factors Coefficient Uncentered Centered Variable Variance VIF VIF…Which statement regarding dependent t-tests is false? A. One disadvantage is called the “carry effect” where a subject’s performance may improve simply because they’ve experienced the test for a second time. B. One advantage is that, because the pre and post test groups are made up of the same subjects, there is no variance from subject to subject. C. One advantage is that, because the pre and post test groups are made up of the same subjects, extraneous variables are automatically controlled for. D. None of the above.a. Assuming for the moment that all coefficients are significant, please interpret the coefficients of the four independent variables in the BIG b. To determine which of the two models above is statistically superior at the .10 level, please calculate the appropriate F‐statistic.
- 1. The data are generated from an initial parental cross. One parent displays the disease phenotype and one displays the wild-type (WT) phenotype. The WT parent always has a homozygous genotype. Your task is to perform a chi-square goodness of fit test on each of two F2 data sets, and make a decision, based on your statistical analyses as to which F2 data set provides greater evidence for indicating the correct mode of inheritance. In this problem, the true mode of inheritance is autosomal dominant, homozygous lethal. Evidence is measured in the following ways: the p-value is greater than 0.05, so we do not reject the null hypothesis, and the p-value is closer to 1. A few things of which to be mindful. 1. In the parental generation, the WT parent always has a homozygous genotype. 2. For the autosomal dominant mode of inheritance, the disease gene always homozygous for the disease allele in the parental generation. 3. For the autosomal dominant, homozygous lethal any person with the…Based on a sample of n=25, the least-squares method was used to develop the prediction line Yi=8+3Xi. In addition, SYX=2.5, X=7, and ∑i=1nXi−X2=25. b. Construct a 90% prediction interval of an individual response for X=5. enter your response here≤YX=5≤enter your response here (Round to two decimal places as needed.)We use the Wilcoxon signed-rank test to test the hypothesis that there is no difference between the Before and After with this data: Questions What is the sum of rank for before and after ?