QUESTION 12 With alpha and N held constant, as the effect of the independent variable increases O the probability of rejecting Ho increases power increases the probability of rejecting Ho remains the same the probability of making a Type Il error decreases a, b, and d
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A: Power is equivalent to : rejecting Ho when you should reject Ho.
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Q: ox²= 3, oy² = 5, oxy = 2, Z=2Y - 4X – 2 a. Determine the variance of Z.
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A: Variable 1 Variable 2 Mean 501 538.5 Variance 10020 10746.27 Observations 14 14…
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- Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4State whether each hypothesis is a null, directional or a non-directional hypothesis. Improved working conditions in a plant will lead to greater productivity. Students who do not cheat during examinations have higher self-esteem than students who cheat during examinations. A whole advertisement will lead to increased sales for the product. The proportion of detergent users who prefer Super Ola CClean is higher than 50% There is no difference between drug X and drug Y in relieving muscle pains.Assume that there is a rare disease. It occurs in the population at a rate of 1 per 1000; that is, P[disease] = 0.001. There is a test for the disease that has an error rate of 5% for in positive and negative senses. That is, if a patient has the disease, there is 95% probability that the test will confirm that status and 5% probability that the test will be negative. Conversely, if the patient does not have the disease, there is 5% probability that the test will indicate erroneously that the disease is present and 95% probability that the test will confirm that the disease is not present. Let PT indicate a positive test, D indicate the disease is present, and a bar over a symbol indicates the negative, so this can all be summarized as Po(D) = 0.001 P(PT|D) = 0.95 P(PT|D) = 0.95 P(PT|D) = 0.05 P(PT|D) = 0.05 The disease is serious, and the treatment is difficult and expensive, so a decision either to treat or not to treat the disease is not trivial. A patient takes the test and…
- Endocrinology In Section 2.10, we described Data Set BONEDEN.DAT concerning the effect of tobacco use on BMD. Note: 2.38-2.40 Involve computing a new variable C. Compute C using the formula given and then use STATA to produce the output requested. 2.38. For each pair of twins, compute the following for the lumbar spine: A = BMD for the heavier-smoking twin − BMD for the lighter-smoking twin = x1 − x2 B = mean BMD for the twinship = (x1 + x2)/2 C = 100% × (A/B) Derive appropriate descriptive statistics for C over the entire study population. 2.39. Suppose we group the twin pairs according to the difference in tobacco use expressed in 10 pack-year groups (0–9.9 pack-years/10–19.9 pack-years/20–29.9 pack-years/30–39.9 pack-years/40+ pack-years). Compute appropriate descriptive statistics, and provide a scatterplot for C grouped by the difference in tobacco use in pack-years 2.40. What impression do you have of the relationship between BMD and tobacco use based on Problem 2.39?(Only part 4 and 5 to be solved) A researcher was interested in studying if there is a significant relationship between the severity of COVID 19 and blood types of individuals. 2400 individuals were studied and the results are shown below. Condition Blood Type O A B AB Total Critical 64 44 20 8 136 Severe 175 129 50 15 369 Moderate 211 528 151 125 1015 Mild 200 400 140 140 880 Total 650 1101 361 288 2400 State both the null and alternative hypotheses. Provide the decision rule for making this decision. Use an alpha level of 5%. Show all of the work necessary to calculate the appropriate statistic. What conclusion are you allowed to draw? (to be solved) . Would your conclusion change at the 10% level of significance? (to be solved)ox² = 3, oy² = 5, oxy = 2, Z = 2Y - 4X – 2 a. Determine the variance of Z.
- ox² = 3, or² = 5, oxy = 2, Z = 2Y – 4X – 2 a. Determine the variance of Z.3G 4G %AE Haider H - Sc... 2 Ex.2: Find A-' for A = 3 -3 4 -7 5/12 7/20 1/10 1/10 Ans. %3D 1/6An instructor for a SAT preparation course claims that the course will improve the test scores of students. The table shows the critical reading scores for 10 students the first two times they took the SAT. Before taking the SAT for the second time, the students took a course to try to improve their critical reading SAT scores. At a = 0.01, is there enough evidence to support the instructor's claim? 1 200 300 2 350 420 3 250 300 4 330 390 5 200 240 6 370 480 7 320 350 8 270 300 9 220 290 10 310 350
- a. A local pizza restaurant advertisement claims that the restaurant delivers pizzas to the student accommodations on campus faster than a local branch of a national pizza chain. Both the local pizza restaurant and national pizza chain are located the same distance from the student accommodations. Let the variable of interest be the delivery time (in minutes), from the time the pizza is ordered to when it is delivered. A researcher takes a random sample of 25 pizzas from the local pizza restaurant and 25 pizzas from the national chain ordered at different times. The data are summarised using the following Microsoft Excel output. Local Restaurant National Chain 18.792 20.684 Mean Variance 12.003 10.036 Observations 25 25 df 48 t Stat -2.015 1.677 t Critical one-tail t Critical two-tail 2.011 Conduct an appropriate hypothesis test, at a 5% level of significance, to determine whether the mean delivery time for the local pizza restaurant is less than the mean delivery time for the national…Random collections of nine different solutions of a calcium compound were given to two laboratories, A and B. Each laboratory measured the calcium content (in mmol per liter) and reported the results. The data are paired by calcium compound. Compound 1 2 3 4 5 6 7 8 9 Lab A (x) 12.35 9.83 10.79 11.31 8.58 13.69 14.68 15.07 11.57 Lab B (y) 12.18 9.72 10.70 11.51 8.63 13.58 14.71 15.24 11.57 (a) Rank-order the data using 1 for the lowest calcium reading. Make a table of ranks to be used in a Spearman rank correlation test. Compound Lab A (x) Lab B (y) d = x − y d2 1 2 3 4 5 6 7 8 9 Σd2 = (b) Use a 5% level of significance to test for a monotone relation (either way) between ranks. Interpret the results. What is the level of significance? Compute the sample test statistic. (Round your answer to three decimal places.)part a is identifying the claim and stating H0 & Ha.