Compute the following:
BIG Corporation produces just about everything but is currently interested in the lifetimes of its batteries, hoping to obtain its share of a market boosted by the popularity of portable CD and MP3 players. To investigate its new line of 1000 Ultra batteries, BIG randomly selects Ultra batteries and finds that they have a mean lifetime of 842 hours, with a standard deviation of 93 hours. Suppose that this mean and standard deviation apply to the population of all Ultra batteries. Complete the following statements about the distribution of lifetimes of all Ultra batteries.
1. According to Chebyshev's theorem, at least ________, of the lifetimes lie between 609.5 hrs and 1074.5 hrs.
a. 56% b. 75% c. 84% d. 89%
2. According to Chebyshev's theorem, at least ________, of the lifetimes lie between 656 hrs and 1028 hrs.
a. 56% b. 75% c. 84% d. 89%
3. Suppose that the distribution is bell shaped. According to the empirical rule approximately _________ of the lifetimes lie between 656 hrs. and 1028 hrs.?
a. 68% b. 75% c. 95% d. 99.7%
4. Suppose that the distribution is bell shaped. According to the empirical rule approximately 99.7% of the life times lie between ______ hours and _______ hours?