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2.1  The width of a confidence interval is a measure of its precision. The narrower the confidence interval, the more precise is the interval estimate, and vice versa. Describe any three aspects that influence the precision of the width of a confidence interval of a single population mean.                                                                                                                    (5)    


A certain fast-food chain sells cheeseburger. On a typical weekday, the demand for these burgers can be approximated by a normal distribution with the mean of 313 burgers and a standard deviation of 57 burgers. If the fast-food chain has a stock of 400 burgers, what is the probability that it will run out of burgers on that day


A certain fast-food chain sells cheeseburger. On a typical weekday, the demand for these burgers can be approximated by a normal distribution with the mean of 313 burgers and a standard deviation of 57 burgers. If the fast-food chain has a stock of 400 burgers, what is the probability that it will run out of burgers on that day

A radar unit is used to measure the speed of cars at NLEX. NLEX records show that the measures of speed are normally distributed with a mean of 94 km/hr and a standard deviation of 12 km/hr. The speed of the top 15% drivers are considered over speeding and are apprehended. Therefore, for a driver of the car to be charged of over speeding, his speed should be a minimum of Blank 1 km/hr. Round off your answer to two (2) decimal places.



suppose an individual plays a gambling game where it is possible to lose $1.00,break even, win $3.00 or win $5.00 each time she plays


In a standard normal curve, if P(z < k) = 0.17% then find k

There are 20 small batteries on sale in a minimarket. Due to careless handling, 4 of them become defective. A customer comes into the market and randomly selects 3 batteries at once. a) Find the probability that the customer selects exactly 1 defective battery.


A local pharmaceutical company believes it has a 40% chance of being successful on bidding a contract with the Department of Health that yields a profit of 3,000,000 php. Assuming that it costs 500,000 php in consultancy fees to prepare the bid. What is the expected gain or loss for the company if it decides to bid on the contract?
A survey found that women over the age of 55 consume an average of 1660 calories a day. In order to see if the number of calories consumed by women over the age 55 living in a certain city is the same, the researcher sampled 30 women over the age of 55 and found the mean number of calories consumed was atleast 1446. The standard deviation of the sample was 446 calories. At a level of significance of 0.05, can it be concluded that there is no difference between the number of calories consumed by the women over the age of 55?

There are total 1020 members in BMCC Math Club. 50% of them are female. 45 out of 1020 are from Prof. Xin, Ke’s class. 20% of 45 students are international students. In order to join Math Club, students must take one exam. You can take the exams as many times as you want. Members meet every Wednesday in Room N736.


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