1. Given a 95% confidence interval for the mean time in minutes of playing ML per day to be 39.90 < M < 40.96. Construct a 99.5% confidence interval based on the same data. 37.80 < U < 38.80 39.67 < U < 41.19 41.79 < U <42.90 42.48 < U < 43.54 2. A factory manufacturing light emitting diode (LED) bulbs claims that their light bulbs last for 50,000 hours on the average. To confirm if this claim is valid, a quality control manager obtained a random sample of 50 LED light bulbs and got a mean lifespan of 40,000 hours. The standard deviation of the manufacturing process is 1000 hours. If you want to be 99% confident, find the interval of the population mean. 3 Identify whether the following statements are true or false by selecting your answer from the given choices below. A. If both the first and second statements are TRUE B. If both the first and second statements are FALSE C. If the first statement is TRUE but the second statement is FALSE D. If the first statement is FALSE but the second statement is TRUE 1. The mean, median and mode are equal to zero in at distribution. 2. As the sample size increases, the t distribution slowly becomes skewed distribution. 4. Identify whether the following statements are true or false by selecting your answer from the given choices below. A. If both the first and second statements are TRUE B. If both the first and second statements are FALSE C. If the first statement is TRUE but the second statement is FALSE D. If the first statement is FALSE but the second statement is TRUE 1. The Central Limit Theorem ensures that the sampling distribution of sample mean is normal if the sampled population was normally distributed, no matter what sample size is taken 2. The probability distributions for statistics are called sampling distributions