2. A company that manufactures light bulbs claims that a particular type of light bulb will last 850 hours on average with standard deviation of 50. A consumer protection group thinks that the manufacturer has overestimated the lifespan of their light bulbs by about 40 hours. The consumer group want to test the manufacturers claim. a. State the null and alternative hypotheses associated with the test. b. What are the type I and type II errors associated with this hypothesis? c. How many light bulbs does the consumer protection group have to test in order to test the claim with 90% power?

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba…

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.