Question

0 A study investigating the relationship between age and annual medical expenses randomly samples 100 individuals in a city. It is hoped that the sample will have a similar mean age as the entire population Complete parts a and b below. a. If the standard deviation of the ages of all individuals in the city is = 11find the probability that the mean age of the individuals sampled is within two years of the mean age for all individuals in the city. (Hint Find the sampling distribution of the sample mean age and use the central limit theorem. You don't have to know the population mean to answer this, but it it makes it easier, use a value such as # = 25) The probability is (Round to three decimal places as needed.) b. Would the probability be targer, or smaller, if o 5? Why? If a were smaller, the standard deviation of the sampling distribution would be larger, so the probability would be smaller ?

Answer 1

Answeri- standard error of rieart /ما 2011 = (%-) (* -m) هذا probability or(M-24 XL M+2) ( 7 (به - ۶) ۰/۰۱)۴ P /ه 2( - (081 - (108) = 2(1181) - ((=< - (081) 0.96 U85 -0.0555 ۵.۹۹۹ b) رد: ه standard error of mear = 5/6 = 0.5 1 = probability که به - *) -4 (42به 2 - به )2 (ية ، يهتة >s.%- )م= (H > ہا۔ ) 2 = (ا - 14)م- (44) * /ه ۱۱ ۱۱