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An oil spill happened in the ocean. Gusty wind and rough sea moves the oil spill toward the shore. The distance covered in the x and y directions (meters per hour) follows an exponential distribution with λ = 1 for both directions.
(a) Approximate the probability that the oil spill does not reach the shoreline within 24 hours given by the equation x + y = 3000 using the Central Limit Theorem (CLT).
(b) Calculate the exact probability that the oil spill does not reach the shoreline (same as above) within 24 hours without using the CLT.
an electronics company wants to compare the quality of their cell phones to the cell phones from three competitors.
Identify the parameter of interest to the researchers.- Examine the dot plot. Does effect size have a normal distribution? Explain why your answer is irrelevant to the subsequent analysis.
Perform the appropriate hypothesis test, using a significance level of 0.05
1. Suppose a food scientist wanted to compare the "tastiness" of different variations of a cookie recipe. (a) Suggest several ways to quantify (measure) "tastiness", and discuss the advantages and disadvantages of each.
Can you think of another example of approximating a discrete variable with a continuous number?
Discuss what you believe to be the real reason most 23 year olds (like Bella) are not saving for retirement. What do you think we can do to change this trend?
Students were surveyed as to how many minutes they had exercised the day before. They were also asked whether or not they smoked.
The model for AMAZON stock prices has been found to be AR(1) with Xt = 0.99Xt-1 + a, where a is NID(0,46.8).
If 200 people in the city are contacted at random, what is the probability, approximately, that fewer than four of them are watching the program?
suppose that the u.s. government decides to charge beer consumers a tax. before the tax 25000 cases of beer were sold
What is the lower limit of the 90% confidence interval? What is the upper limit of the 90% confidence interval?
Each candy in a paper cup and then obtaining the weight without accounting for the weight of the cup. How can this as a random error and systematic error?
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