1. A population of values has a normal distribution with μ=182.1
and σ=28.9. You intend to draw a random sample of size n=117.
A. Find the probability that a single randomly selected value is
less than 187.7. P(X < 187.7) =
B. Find the probability that a sample of size n=117is randomly
selected with a mean less than 187.7. P(¯x < 187.7) =
2. CNNBC recently reported that the mean annual cost of auto
insurance is 1045 dollars. Assume the standard deviation is 211
dollars. You take a simple random sample of 69 auto insurance
policies.
A. Find the probability that a single randomly selected value is
less than 977 dollars. P(X < 977) =
B. Find the probability that a sample of size n=69 is randomly
selected with a mean less than 977 dollars. P(¯x < 977) =
1. A population of values has a normal distribution with μ=182.1 and σ=28.9. You intend to...
A population of values has a normal distribution with μ=176.9 and σ=81. You intend to draw a random sample of size n=181. Find the probability that a sample of size n=181 is randomly selected with a mean between 178.1 and 178.7. P(178.1 < M < 178.7) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. A leading magazine (like Barron's) reported at one time...
A population of values has a normal distribution with μ=72μ=72 and σ=30σ=30 . You intend to draw a random sample of size n=25n=25 . Find the probability that a single randomly selected value from the population is less than 58.2. P(X < 58.2) = Find the probability that a sample of size n=25n=25 is randomly selected with a mean less than 58.2. P(M < 58.2) =
A population of values has a normal distribution with μ=180.1μ=180.1 and σ=93.4σ=93.4. You intend to draw a random sample of size n=90n=90. Find the probability that a single randomly selected value is greater than 185. P(X > 185) = Find the probability that a sample of size n=90n=90 is randomly selected with a mean greater than 185. P(¯xx¯ > 185) = A population of values has a normal distribution with μ=167.8μ=167.8 and σ=34.4σ=34.4. You intend to draw a random sample...
A population of values has a normal distribution with μ=200.5μ=200.5 and σ=56.9σ=56.9. You intend to draw a random sample of size n=131n=131. Find the probability that a single randomly selected value is less than 204.8. P(X < 204.8) = Find the probability that a sample of size n=131n=131 is randomly selected with a mean less than 204.8. P({¯x{x¯ < 204.8) = Enter your answers as numbers accurate to 4 decimal places. Answers should be obtained using zz scores correct to...
A population of values has a normal distribution with μ=148.3μ=148.3 and σ=92.3σ=92.3. You intend to draw a random sample of size n=49n=49. Find the probability that a single randomly selected value is less than 144.3. P(X < 144.3) = Find the probability that a sample of size n=49n=49 is randomly selected with a mean less than 144.3. P(M < 144.3) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to...
A population of values has a normal distribution with μ=115.6 and σ=46.5. You intend to draw a random sample of size n=183. a. Find the probability that a single randomly selected value is between 118.7 and 126.6. P(118.7 < X < 126.6) = b. Find the probability that a sample of size n=183 is randomly selected with a mean between 118.7 and 126.6. P(118.7 < ¯xx¯ < 126.6) = Enter your answers as numbers accurate to 4 decimal places.
A population of values has a normal distribution with μ=90.9 μ=90.9 and σ=46.3 σ=46.3 . You intend to draw a random sample of size n=69 n=69 . Find the probability that a single randomly selected value is between 78.6 and 89.8. P(78.6 < X < 89.8) = Find the probability that a sample of size n=69 n=69 is randomly selected with a mean between 78.6 and 89.8. P(78.6 < M < 89.8) = Enter your answers as numbers accurate to...
A population of values has a normal distribution with μ = 221.5 and σ = 27.5 . You intend to draw a random sample of size n = 160 . Find the probability that a single randomly selected value is less than 223? P(X < 223) = Find the probability that a sample of size n=160n=160 is randomly selected with a mean less than 223. P(M < 223 Enter your answers as numbers accurate to 4 decimal places. Answers obtained...
A population of values has a normal distribution with μ=126.4μ=126.4 and σ=38.6σ=38.6. You intend to draw a random sample of size n=148n=148. Find the probability that a single randomly selected value is greater than 121.5. P(X > 121.5) = Find the probability that a sample of size n=148n=148 is randomly selected with a mean greater than 121.5. P(¯xx¯ > 121.5) = Enter your answers as numbers accurate to 4 decimal places. Answers should be obtained using zz scores correct to...
A population of values has a normal distribution with μ=26μ=26 and σ=31.6σ=31.6. You intend to draw a random sample of size n=214n=214. Find the probability that a single randomly selected value is between 21.5 and 22.5. P(21.5 < X < 22.5) = Find the probability that a sample of size n=214n=214 is randomly selected with a mean between 21.5 and 22.5. P(21.5 < M < 22.5) =