STAT 1000 Lecture Notes - Lecture 28: Standard Deviation, Sampling Distribution, Random Variable

• School: University of Manitoba
• Department: Statistics
• Course: STAT 1000
• Professor: Zenaida Mateo

Document Summary

The (cid:272)o(cid:374)te(cid:374)ts of (cid:271)ottles of dad"s root(cid:271)eer are. Stat1000 - basic statistical analysis i lecture notes. The (cid:272)o(cid:374)te(cid:374)ts of (cid:271)ottles of dad"s root(cid:271)eer are (cid:1006)9(cid:1008) (cid:1007)00 (cid:1007)0(cid:1010) (cid:1007)00 (cid:1009) (cid:1009) P( 1. 20 < z < 1. 20) = 0. 7698. There is a 77% chance that the contents of an individual bottle will be between 294 ml and 306. The (cid:272)o(cid:374)te(cid:374)ts of (cid:271)ottles of dad"s root(cid:271)eer are normally distributed with a mean of. There is a 99. 94% chance that the total contents of a 6 pack will fall between 1758 and. P( -3. 43 < z < 3. 43) = 0. 9994. Let us consider the general situation of a random variable following any distribution. The lifetime of a light bulb (i. e. the time until the bulb burns out) is known to follow a right-skewed distribution with mean 500 hours and standard deviation 400 hours. Now we take an srs of n = 2 light bulbs and calculate the mean lifetime x .