STA301 IMPORTANT LONG QUESTIONS: 1. A company claims that the average life of its batteries is 500 hours. Explain how you would test this claim using Hypothesis Testing. 2. A sample of observations is given. Calculate the 95% Confidence Interval and interpret the result. 3. A factory produces defective bulbs. Using the Binomial Distribution, calculate the probability of getting a specific number of defective bulbs. 4. The average number of customer arrivals is given. Solve the question using the Poisson Distribution. 5. A question based on the Standard Normal Distribution (Z-table) is given. Find the required probability. 6. Explain with working why the t-distribution is used when the population standard deviation is unknown. 7. Given two sample variances, perform an F-test a