BSEC 10-13 - P(X_<44,00)...

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1. Ux=U Ux Is the mean of x_ U is the mean of the population 2. Ox=O/SQRT of N Ox is the st dev of X_ O is the std dev of the population N is the sample size. 280 26 28 25. 1. The pop. Number {annual salaries of all plumbers} 2. The mean of the population is M=46,700 3. The std dev og the population is 5600 4. The sample size n=42>30 5. The samples mean is X_ is a normal RV (according to the central limit theorem)
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Unformatted text preview: P(X_<44,00) =P(X_-Ux/Ox_<44,000-Ux_/Ox_) P(Z<44,000-U/O/swrt N) P(Z<44,000-46,700/(5600/sqrt 42) P(Z<-2700/(5600/0.481) P(Z<-2700/864.1) P(Z<-3.12-3.12=-3.1-0.02 0.0009 probability (0.09%) that the means salary of the 42 person sample lies below 44,000 28. 1. The population=all gas prices in cali during the week pop mean, u=3.305 pop std dev...
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