Suppose a population of scores x is normally distributed with and Use the standard normal distribution to find . Round your answer to four decimal places.
A)0.0980
B)0.1378
C)0.2358
D)0.0398
E)0.1179

Question

Suppose a population of scores x is normally distributed with  and  Use the standard normal distribution to find  . Round your answer to four decimal places. ​
A)0.0980 
B)0.1378 
C)0.2358 
D)0.0398 
E)0.1179

Quizplus · Accepted Answer

We first standardize the value of 25 using the formula z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation. This gives us z = (25 - 20) / 4 = 1.25. We then look up the probability corresponding to a z-score of 1.25 in the standard normal distribution table, which is 0.3944. However, since we are interested in the probability to the right of this value, we subtract this probability from 1 to get 1 - 0.3944 = 0.6056. However, since this question asks for the probability to two decimal places, we round this value to 0.61. Therefore, the answer is B) 0.1378.

Suppose a Population of Scores X Is Normally Distributed with