Mathematics, 06.05.2020 03:13 aebacchieri
Twenty weather stations are deployed on Mars, at diverse locations. A normal plot shows that it is reasonable to assume that weather station lifetimes are approximately normally distributed. (Weather station lifetime is how long the station operates before breaking down.) The sample average lifetime is 947 Martian days, and the sample standard deviation of lifetimes is 136 days. If the true mean lifetime of a weather station is 975 Martian days.
a. What is the probability the sample mean is 947 days or less?
b. What sampling distribution should we use to compute this probability?
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