1) 2) X3-X2 o√2 1 (X4-X₁)² 2 02 ii) Find the value of a sample size n, if the fifth percentile of 1(X₁ — X)² is 9.39. n 0²
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Q: Class Interval 0-9 10 - 19 20-29 30-39 40 - 49 64857 n = <CF
A: Given data is Class Frequency(fi) 0 - 9 6 10 - 19 4 20 - 29 8 30 - 39 5 40 - 49 7
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Q: Suppose X ~N(40,2.8). What is the z score of x =35.8
A: Given: X~N(40,2.8) μ=40 σ=2.8 X=35.8
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Q: how can we derive the formula in solving the value of the sample size n?
A: Step 1: Use the mathematical definition of margin of error, E (OR MOE). Step 2: E=zcX(n)p(1−p)…
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- 2) Millman’s golfing group is terrific for a group of amateurs. Are they ready to turn pro? (Remember a lower score in golf is better!) Size Average score SD Millman's Group 9 82 2.6 The Pros 500 71 3.12.) What is the yalue of E(X-1)" for scores ーメ)X 2,2,1,415. The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 10.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eightfull-time faculty for one week is shown in the table below. At α=0.05, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 11.2 7.5 12.2 7.2 4.1 9.5 13.7 8.5 Question content area bottom Part 1 (a) Write the claim mathematically and identify H0 and Ha. Which of the following correctly states H0 and Ha? A. H0: μ>10.0 Ha: μ≤10.0 B. H0: μ≠10.0 Ha: μ=10.0 C. H0: μ<10.0 Ha: μ≥10.0 D. H0: μ≤10.0 Ha: μ>10.0 E. H0: μ≥10.0 Ha: μ<10.0
- 9) Find L3.2 (5) using the nodes xo = 3,x1 = 4, x2 = 6 ,x3 = 8 %3DPlease solve within 20 minutes. In testing the hypothesis Ho : μ = 75 vs H₁ : µ ‡ 75, the following information is known: n=64, x = 78 and ²: = 100. The test statistic is equal to: (a) -2.4 (b) 2.4 (c) 1.96 (d) -1.96 (e) None of the above
- 11th -The variance of the sample formed by the sample averages of the samples randomly taken from a population with the condition of substitution, with a size of n=100, was found to be 0.01. What is the sample standard error value?a)0.001 B)0.014 NS)0.20 D)0.032 TO)0.104. A city official claims that the proportion of all commuters who are in favor of an expandedpublic transportation system is 50%. A newspaper conducts a survey to determine whetherthis proportion is different from 50%. Out of 225 randomly chosen commuters, the surveyfinds that 90 of them reply yes when asked if they support an expanded public transportationsystem. Test the official’s claim at α = 0.05.A study is conducted to determine factors in solving missing persons cases. The outcome is Y; which is equal to 1 if the i-th missing person case is unsolved and 0 if it is solved. Let covariate X1; be an indicator equal to 1 if the i-th case is female and 0 for male. Let X2i be a categorical covariate of age group for the i-th case. Categories are less than 14 years old (base level/group), between 14 and 19 years old, and older than 19 years. Set u = P(Y = 1) and the following model is fit: logit(u) = Bo + BịI(Female) + B2I(14 to 19 yrs old) + B3I(> 19 yrs old) The output from the model is below: Estimate S.E. p-value Bo -4.565 0.128 0.380 0.087 B2 Вз -0.198 0.042 0.163 1.128 0.133 a. Using the logistic regression output, calculate the estimated odds ratio of a case being unsolved (again Y=1 is unsolved and Y=0 is solved) comparing females to males (female is the numerator odds) of the same age. Interpret this odds ratio in context of the problem. iii b. Create a 95% confidence…
- Are couples that live together before they get married just as likely to end up divorced within five years of marriage compared to couples that live apart before they get married? 268 of the 674 couples from the study who lived together before they got married were divorced within five years of marriage. 173 of the 405 couples from the study who lived apart before they got married were divorced within five years of marriage. What can be concluded at the = 0.05 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean t-test for the difference between two independent population means z-test for the difference between two population proportions t-test for the difference between two dependent population means The null and alternative hypotheses would be: Select an answer μ1 p1 Select an answer ≠ > < = Select an answer p2 μ2 Select an answer μ1 p1 Select an answer < = > ≠ Select…4. For a sign test for paired data, it is given that np = 9, nq= 8. The method that we use for testing is. • Normal • Binomial • Chi square • t-test • None of theseI'm not sure how to solve for (b)at least 6 where P(x is less than or equal to 6) or (c)less than 4 where P(x is less than 4). I was able to follow the sample problem in my text to solve (a) exactly 5, but I'm confused on how to apply it to part (b) and (c).