Question

uu 2 om 10 complete This Test: 14 pts possit Question Help The overhead roach distances of adult females are normally distributed with a mean of 205.5 cm and a standard deviation of 8.6 cm a. Find the probability that an individual distance is greater than 218.00 cm b. Find the probability that the mean for 15 randomly selected distance is greater than 204.00 cm c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 307 2. The probability is (Round to four decimal places as needed.) b. The probability is (Round to four decimal places as needed) c. Choose the correct answer below A. The normal distribution can be used because the finite population correction factor is small OB. The normal distribution can be used because the original population has a normal distrbution OC. The normal distribution can be used because the probability is less than 0.5 OD. The normal distribution can be used because the mean is large 0 Click to select your answers ) 30 tv

Answer 1

M - 205.5 PlX8218) By Normal approximation- P/x-4 > 218-4) Plz> 218-205.5 8.6 Plz> 1.45) 1-Plz 41.45) By z table I-0.9265 0.0735 n=15 Pl i 204) By Normal approximation - 204- Mi X-MX el 4x = 4x =

(2 7 > 204 205.5 8.6 el 27 -0.68) & I-P(Z <-0.68) By 2 table 1- 0.2483 0.7517 If Parent population is normas than we Cam we Noomal distribution sample. for any size of Please like