Question

In: Statistics and Probability

(a) Food Dragon and Delivery Woo are two main food delivery companies in Hong Kong. Suppose...

(a) Food Dragon and Delivery Woo are two main food delivery companies in Hong Kong. Suppose the delivery time of these two companies both follow a normal distribution. A random sample of size 10 is selected from each of the food deliveries. Sample Size mean(mins) standard deviation(mins) Food Dragon 10 20 5 Delivery Woo 10 15 6 Assuming the delivery times of both companies are normal with equal variances, find the 90% confidence interval for the difference between the mean delivery time of Food Dragon and Delivery Woo. [8marks]

(b) A random sample of 1000 citizens from Macau have been tested for the anti-body for the coronavirus. It was found that 150 of these citizens has the anti-body for the coronavirus. Find a 93% confidence interval for the true population proportion of citizens in the Macau with the anti-body. [5 marks]

(c) An engineer wants to find out the concentration of carbon monoxide (µg/m3 ) emitted by a newly invented car. The engineer collected 14 observations in a randomly chosen period. 68, 54, 32, 80, 50, 40, 60, 60, 55, 40, 42, 50, 60, 43 Construct a 95% confidence interval for the mean concentration of carbon monoxide. Assume that the concentrations of CO are normally distributed

Solutions

Expert Solution


orchestra answered 1 year ago
Next > < Previous

Related Solutions

(a) Food Dragon and Delivery Woo are two main food delivery companies in Hong Kong. Suppose...
(a) Food Dragon and Delivery Woo are two main food delivery companies in Hong Kong. Suppose the delivery time of these two companies both follow a normal distribution. A random sample of size 10 is selected from each of the food deliveries. Sample Size mean(mins) standard deviation(mins) Food Dragon 10 20 5 Delivery Woo 10 15   6 Assuming the delivery times of both companies are normal with equal variances, find the 90% confidence interval for the difference between the mean...
Suppose that there are two taxi companies, Crab (CR) and Wber (WB), operating in Hong Kong....
Suppose that there are two taxi companies, Crab (CR) and Wber (WB), operating in Hong Kong. The two firms each face daily demand for taxi rides as follows: QCR = 200−PCR +PWB QWB = 235−2PWB +PCR Both companies have the same average cost and marginal cost of $5 per ride. a. Find the Bertrand equilibrium price and output of each firm. b. Suppose Crab and Wber were to collude to maximize joint profits assuming equal bargaining power. Find the equilibrium...
The following information is for two all equity companies, Cathay Pacific and Hong Kong Airline: 　 Cathay...
The following information is for two all equity companies, Cathay Pacific and Hong Kong Airline: 　 Cathay Pacific Hong Kong Airline Price per share 50 10 Total earnings 2,100,000 880,000 Share outstanding 1,400,000 800,000 Cathay Pacific is planning to acquire Hong Kong Airline by exchanging 200,000 of its new shares for all the shares in Hong Kong Airline. The synergy from the merger, as estimated by Morgan Stanley, is worth $18,000,000. a What is the actual cost of the acquisition? b...
The following information is for two all equity companies, Cathay Pacific and Hong Kong Airline: Cathay...
The following information is for two all equity companies, Cathay Pacific and Hong Kong Airline: Cathay Pacific Hong Kong Airline Price per share $50 $10 Total earnings $2,100,000 $880,000 Share outstanding 1,400,000 800,000 Cathay Pacific is planning to acquire Hong Kong Airline by exchanging 200,000 of its new shares for all the shares in Hong Kong Airline. The synergy from the merger, as estimated by Morgan Stanley, is worth $18,000,000. Answer the following questions. A .What is the actual cost...
Ocean Park and Disneyland are the two theme parks in Hong Kong. They deemed to be...
Ocean Park and Disneyland are the two theme parks in Hong Kong. They deemed to be so different in their theme and attractions that they are not substitutes to one another. The two theme parks have their 1-day ticket prices revised upward in 2019 as in the following: Theme Park Ticket Was Now Ocean Park Adult (Ages 12 or above) Child              (Ages 3 – 11)                  Senior (Ages 65+)                           HK$480                           HK$240               Free of Charge                        HK$498                        HK$249...
Suppose the quality of Hong Kong products relative to foreign products deteriorates. a. Explain how the...
Suppose the quality of Hong Kong products relative to foreign products deteriorates. a. Explain how the quality deterioration of Hong Kong products affects Hong Kong’s exports at any given exchange rate. (3%) b. Explain how the quality deterioration of Hong Kong products affects Hong Kong’s real exchange rate and trade balance. (5%) c. Is it possible that the quality deterioration of Hong Kong products increases Hong Kong’s trade deficit? (2%)
Suppose the quality of Hong Kong products relative to foreign products deteriorates. a. Explain how the...
Suppose the quality of Hong Kong products relative to foreign products deteriorates. a. Explain how the quality deterioration of Hong Kong products affects Hong Kong’s exports at any given exchange rate. b. Explain how the quality deterioration of Hong Kong products affects Hong Kong’s real exchange rate and trade balance. c. Is it possible that the quality deterioration of Hong Kong products increases Hong Kong’s trade deficit?
For Indian companies I'm starting a food delivery startup in a week or two. I had...
For Indian companies I'm starting a food delivery startup in a week or two. I had done a lot of study and enquiry, but still I would love hearing more advices. I need to know what all documents need to be filed and kept for maintaining accounts and filling tax returns. For us, the only income is from delivery charge we charge from customers
Suppose the United States and Hong Kong have a flexible exchange rate system. Explain whether each...
Suppose the United States and Hong Kong have a flexible exchange rate system. Explain whether each of the following events will lead to an appreciation or depreciation of the U.S. dollar and HK dollar. Please explain in words and graphically. (a) U.S. real interest rates decrease below Hong Kong real interest rates. (b) The Hong Kong inflation rate decreases relative to the U.S. inflation rate. (c) A decrease in U.S. income combines with no change in Hong Kong income. (d)...
[For Indian companies] Is the mail invoice enough as the invoice for a food delivery startup?...
[For Indian companies] Is the mail invoice enough as the invoice for a food delivery startup? Is there a need of giving printed invoice for all customers? Can we use that invoice for our auditing purposes? Elaborate. If the answer is a NO, elaborate the other options that can be chosen.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT