Statistical Inference(Data Science Specialization)

Quiz 1:Statistical Inference(Data Science Specialization):Answers2025

Question 1 Consider influenza epidemics… What is the probability that the mother has contracted influenza? ✅ 11%❌ 17%❌ 6%❌ 5% Explanation:Use the union formula:P(father ∪ mother) = P(father) + P(mother) − P(both).0.17 = 0.12 + P(mother) − 0.06 ⇒ P(mother) = 0.17 − 0.12 + 0.06 = 0.11 (11%). Question 2 X ~ Uniform(0,1). What… <a href="https://codeshala.io/platform/coursera/course/statistical-inferencedata-science-specialization/assignment/quiz-1statistical-inferencedata-science-specializationanswers2025/" rel="bookmark"><span class="screen-reader-text">Quiz 1:Statistical Inference(Data Science Specialization):Answers2025</span></a>

Quiz 2:Statistical Inference(Data Science Specialization):Answers2025

Question 1 What is the variance of the sample mean of n iid observations (population var = σ²)? ❌ σ²✅ σ² / n❌ σ / n❌ 2σ / √n Explanation: Variance of the mean of n IID draws = Var( (1/n)∑Xᵢ ) = σ² / n. Question 2 DBP ~ N(μ=80, σ=10). P(DBP < 70)?… <a href="https://codeshala.io/platform/coursera/course/statistical-inferencedata-science-specialization/assignment/quiz-2statistical-inferencedata-science-specializationanswers2025/" rel="bookmark"><span class="screen-reader-text">Quiz 2:Statistical Inference(Data Science Specialization):Answers2025</span></a>

Quiz 3:Statistical Inference(Data Science Specialization):Answers2025

Question 1 In a sample of n=9: mean = 1100 cc, sd = 30 cc. 95% Student’s t CI for the mean? ❌ [1092, 1108]❌ [1080, 1120]❌ [1031, 1169]✅ [1077,1123] Explanation: SE = 30/√9 = 10. t_{0.975, df=8} ≈ 2.306 → margin ≈ 2.306·10 = 23.06. CI = 1100 ± 23.06 ≈ [1076.94, 1123.06] →… <a href="https://codeshala.io/platform/coursera/course/statistical-inferencedata-science-specialization/assignment/quiz-3statistical-inferencedata-science-specializationanswers2025/" rel="bookmark"><span class="screen-reader-text">Quiz 3:Statistical Inference(Data Science Specialization):Answers2025</span></a>

Quiz 4:Statistical Inference(Data Science Specialization):Answers2025

Question 1 Paired data (n=5). Two-sided paired t-test P-value for mean reduction? ✅ 0.087❌ 0.043❌ 0.10❌ 0.05 Explanation: Differences = [8,3,−1,2,5], mean = 3.4, s ≈ 3.363, t = 3.4 / (3.363/√5) ≈ 2.26 with df=4. Two-sided p ≈ 0.087 (between 0.10 and 0.05). Question 2 For n=9, mean=1100, sd=30. Values of μ₀ for which… <a href="https://codeshala.io/platform/coursera/course/statistical-inferencedata-science-specialization/assignment/quiz-4statistical-inferencedata-science-specializationanswers2025/" rel="bookmark"><span class="screen-reader-text">Quiz 4:Statistical Inference(Data Science Specialization):Answers2025</span></a>