1. Consider the following data set: X-2 -1 0 1 2 4. 3 3 1 -1 Calculate ô?, Var(3o) Var(B) and se(B), without using any statistical software
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- The following table shows the rank attained by male and female officers in the New York City Police Department (NYPD). Do these data indicate that men and women are equitably represented at all levels of the department? Test using a p-value approach. Male Female Officer 21,900 4281 Detective 4058 806 Sergeant 3898 415 Lieutenant 1333 89 Captain 359 12 Higher ranks 218 10 2. There are far more men than women in the police force in general. However, the NYC Police Commission has set itself certain goals with respect to the positions of the females among its ranks. Across the females they aim to target the same proportion by rank as they do among the males. The target proportions by category are: (1) Officer – 70% (2) Detectives – 15% (3) Sargent – 10% (4) Lieutenant – 3% (5) Captain – 1% (6) Higher – 1% Conduct a test to determine whether the proportions, by rank, among the…Given a set ofn distinct data pairs, exactly how many interpolating polynomials can be found to pass through these points? Select one: а. n b. n-1 С. 1 d. 0The following two-by-two table was created from the data. TROUBLE STAYING ASLEEP [outcome] TROUBLE FALLING ASLEEP[predictor] Yes No TOTAL Yes 65 40 105 No 51 110 161 TOTAL 116 150 266 Let TP denote True Positive cases. Let TN denote True Negative cases. Let FP denote False Positive cases. Let FN denote False Negative cases. Trouble staying asleep (outcome) Yes No Trouble falling asleep (predictor) Yes TP FN No FP TN What is the positive predictive value of the predictor variable for the outcome? What is the negative predictive value of the predictor variable for the outcome? Which predictive value (negative or positive) is higher? What proportion of participants have trouble falling asleep and staying asleep? What is the prevalence of “Trouble staying asleep” among study participants?
- See enclosed image.Consider two data sets. Set A: n = 5; x = 4 Set B: n = 50; x = 4 (a) Suppose the number 26 is included as an additional data value in Set A. Compute x for the new data set. Hint: x = nx. To compute x for the new data set, add 26 to x of the original data set and divide by 6. (Round your answer to two decimal places.) (b) Suppose the number 26 is included as an additional data value in Set B. Compute x for the new data set. (Round your answer to two decimal places.)Q.5: Mr. Hamood, a research scholar of Business Department in HCT, would like to find out the association between the mid-term marks, quiz marks, assignment marks and end semester marks with the Total Marks/GP obtained by the students in the final exam. He has decided t collect the data from the college students studying in the Sultanate of Oman. He came to know that there are more than 138,000 students studying in all the different colleges in Oman and realized that it is not possible to collect the data from all the students considering the time to complete the study. a) How will you decide the sample size? Discuss with reasons b) Find out the dependent variable and independent variables e) Who are the respondents? d) How will you collect the data? Discuss the instrument and process e) Inferential statistics is applicable. Discuss analytically
- Dif-in-Dif requires: 1. Identical characteristics between treatment and control groups II. Panel or repeated cross-sectional data III. Time-varying unobservables to be similar across treatment and control groups IV. Time-invariant unobservables to be similar across treatment and control groups O l and IV I and III None of the other answers is correct III and IV O Il and III1a. For the following data: X Y # siblings grown up with # own children 2 0 3 1 7 4 5 6 4 6 3 1 Draw the scatterplot (MUST SHOW WORK FOR THIS PROBLEM) Group of answer choices a. yes b. no 1b. Using the dataset given in problem 14, test the hypothesis that there is a significant positive relationship between the # of siblings an individual grows up with and the number of children they eventually have. Use α = .05. Which of the following accurately represents the null and alternative hypotheses? (MUST SHOW WORK FOR THIS PROBLEM) Group of answer choices a. H0: ρ ≤ 0, H1: ρ > 0 b. H0: ρ ≥ 0, H1: ρ…8. Find Q.D. and its coefficient from the following data. Class 130- 134 160- 155- 159 12 135- 140- 140- 145- 150- Interval 139 164 144 21 149 154 Frequency 3. 12 28 19 5
- 5. A team leader tracks the number of items produced by three workers who each work on three different machines for three different days. Here are the data: Data Worker Machine 1 1 15 16 19 12 13 8 12 14 11 17 14 18 7 11 10 12 9. 20 18 17 8 10 11 13 10 11 Using a=0.05, test the following claims: a. The machine used has no effect on the number of items produced. b. The choice of worker has no effect on the number of items produced. c. The interaction between worker and machine has no effect on the number of items produced. 3. 2. 3.Choose all of the following true statements. {7,"Albert R.", 7/2, True} is not a set because it contains mixed data types. {7,"Albert R.", T/2, True} is a set. {7,"Albert R.", T/2, True} is the same as {True, "Albert R.", 7, 7/2} O 14/2 e {7," Albert R.", 7/2, True} O T/3 € {7,"Albert R.", 7/2, True} O 2/3 ¢ Z ACB= Vx. [x E A → x E B where A, B are sets. 6. {3} € {5,7,3} The empty set is a subset of every set.17 Estimate from the following incomplete data X 4 5 Px 13 21 37 State the necessary assumption made
