Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at random for a special assignment. Find the probability that exactly 3 boys will be selected. In addition to the computations you employed to arrive at your response, your post must contain comments regarding the rationale for […]
(1) Suppose that you give a sample of 1077 students a test of quantitative (math) skills. You find that the mean = 275. Assume that we know that the population standard deviation (s) = 60 but we will need to use a confidence interval to estimate the population mean (μ).
On a standardized performance test for athletes, how many random test results must be obtained in order to find the population mean score within 5 points? It is estimated that the lowest an athlete will score is 85 and the highest score estimated is 125. Use a 99% level of confidence.
A study is set up to determine the proportion of cities with private refuse collection. It is desired that the estimate is within 2% of the population proportion, with a desired level of confidence of 95%. If it is estimated that 10% of cities use private refuse collection, what sample size is required?
We wish to estimate the proportion of travellers who believe that air travel is safe. Within 3% and using 90% confidence, with no estimate for the population proportion, how large should our sample be?
Statistics: Please show steps/explain. State Farm Insurance studies show that in Colorado,
A small business owner estimates his mean daily profit as $970 with a standard deviation of $129. His shop is open 102 days a year. What is the probability that his annual profit will not exceed $100,000? Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.
Formulate the hypothesis test using significance level 0.05 to check whether the data support Minda’s claim that students would drink more coffee to help them stay up late for the exams. What assumptions did you make here?
