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- see the qustion as attached hereProvidde a 95% conffidence interrval esstimate for the true averrage call durration. Hinnt: Use poppulation std instead of sammple std whenever poppulation std is given. That is to use σ=2 instead of s = 2.37901. A. 6.1478 ± 1.645 × 2.37901 / √100 B. 6.1478 ± 2 C.6.1478 ± 1.96 × 2.37901 / √100 D. 6.1478 ± 1.645 × 2 / √100 E. 6.1478 ± 1.96 × 2 / √100 We colllected a sammple of 100 telepphone callls. If we waant to cutt the margin of error in half (meaning that we wantt to redduce the margin of errror to 50% of yourr answer in Part 3), how largge of sammple is needed? Assume a 90% confidence level. A. n = (1.96 × 2 / 0.329)^2 B. n = (1.96 × 2 / 0.1645)^2 C. n = (1.645 × 2 / 0.329)^2 E. n = (1.645 × 2 / 0.1645)^2prove or disprove by giving a counterexample
- Suppose in a small town there are three places to eat, a Chineserestaurant, a Mexican restaurant, and a pizza place. Everyone in town eats dinnerin one of these places or has dinner at home. Assume that 20% of those who eat inthe Chinese restaurant go to Mexican next time, 20% eat home and 30% go to thepizza place. From those who eat in the Mexican restaurant, 10% go to the pizzaplace, 25% go to the Chinese restaurant, and 25% eats at home next time. Fromthose who eat at the pizza place, 30% eat at home, 30% eat at the Chineserestaurant, and 10% eat at the Mexican restaurant next time. Those who eat athome, 20% go to the Chinese restaurant, 25% go to Mexican restaurant, and 30% tothe pizza place. a. Set us the matrix of transition probabilities and show the transition b. Find the steady state probabilities c. In the long run, which restaurant will have the most customerSuppose in a small town there are three places to eat, a Chineserestaurant, a Mexican restaurant, and a pizza place. Everyone in town eats dinnerin one of these places or has dinner at home. Assume that 20% of those who eat inthe Chinese restaurant go to Mexican next time, 20% eat home and 30% go to thepizza place. From those who eat in the Mexican restaurant, 10% go to the pizzaplace, 25% go to the Chinese restaurant, and 25% eats at home next time. Fromthose who eat at the pizza place, 30% eat at home, 30% eat at the Chineserestaurant, and 10% eat at the Mexican restaurant next time. Those who eat athome, 20% go to the Chinese restaurant, 25% go to Mexican restaurant, and 30% tothe pizza place. a. Set us the matrix of transition probabilities and show the transition diagram b. Find the steady state probabilities c. In the long run, which restaurant will have the most customerShow that A × B ≠ B × A, when A and B are nonempty,unless A = B