Required information Nuclear power plants have redundant components in important systems to reduce the chance of catastrophic failure. Assume that a plant has two gauges to measure the level of coolant in the reactor core and that each gauge has probability 0.01 of failing. Assume that one potential cause of gauge failure is that the electric cables leading from the core to the control room where the gauges are located may burn up in a fire. Someone wishes to estimate the probability that both gauges fail, and makes the following calculation: P(both gauges fail) = P(first gauge fails) × P(second gauge fails) = (0.01)(0.01) = 0.0001 The assumption made in this calculation was that the gauges fail independently. True or False True False

Can you conclude that listening to music will decease the frequency of sleep attacks in narcoleptics at p=0.05?

Determine each statement is Type I error, Type II error, or no error. You reject the null hypothesis that the mean amount of soda in all cans of soda is at least 11 oz. The true mean is 11.07 oz. Suppose you fail to reject the null hypothesis that the mean lifetime of a battery is at least 50 hours. The true mean is 51.3 hours.  Suppose you fail to reject the null hypothesis that the mean diameter of a bolt is at most 10 cm. The true mean is 10.02 cm.

Suppose the relationship between Y and X is given by: Y = 4 + 3.2*X + error  By how much does the expected value of Y change if X increases by 1.29 units? (Round your answer to two decimal places: ex: 123.45)

4. As fallen trees lie on the forest floor they slowly decay. Will the amount of light present have an impact on the rate of decay? In the following table x is a random variable representing the remaining percentage of total mass of a log after it was exposed to the elements for three weeks while y represents the numbers of hours of direct sunlight the log received each day. X 0.60 .70 .65 .82 .87 y 1.0 2.3 3.0 4.0 4.5 (a) Plot a scatter diagram of the data. Remember to label your axes appropriately and choose a consistent scale. (b) Based on a scatter diagram, would you estimate the correlation coefficient to be positive, close to zero, or negative? Please circle one of the following choices: A. Positive B. Close to zero C. Negative (c) Interpret your results from parts (a) and (b). 16 tv

Calculate the incidence rate of prostate cancer in this population A population of 200 healthy men was followed up for the development of prostate cancer. 10 men were followed-up for 1 year and were then lost to follow-up. After being followed-up for 5 years, 10 men developed prostate cancer. The remaining men who never developed prostate cancer were followed for 10 years.