Question

Suppose that a recent poll found that 52​% of adults believe that the overall state of moral values is poor. Complete parts​ (a) through​ (c). ​(a) For 150 randomly selected​ adults, compute the mean and standard deviation of the random variable​ X, the number of adults who believe that the overall state of moral values is poor. The mean of X is nothing.​ (Round to the nearest whole number as​ needed.) The standard deviation of X is nothing. ​(Round to the nearest tenth as​ needed.) ​(b) Interpret the mean. Choose the correct answer below. A. For every 150 ​adults, the mean is the minimum number of them that would be expected to believe that the overall state of moral values is poor. B. For every 150 ​adults, the mean is the range that would be expected to believe that the overall state of moral values is poor. C. For every 78 ​adults, the mean is the maximum number of them that would be expected to believe that the overall state of moral values is poor. D. For every 150 ​adults, the mean is the number of them that would be expected to believe that the overall state of moral values is poor. ​(c) Would it be unusual if 71 of the 150 adults surveyed believe that the overall state of moral values is​ poor? Yes No

Answer 1

To compute the mean and standard deviation of the random variable X, the number of adults who believe that the overall state of moral values is poor, we use formulas for a binomial distribution. The mean is 78 and the standard deviation is 6.34. The interpretation of the mean is that for every 150 adults, the mean is the number of them that would be expected to believe that the overall state of moral values is poor.

Step-by-step explanation:

To compute the mean and standard deviation of the random variable X, the number of adults who believe that the overall state of moral values is poor, we can use the formulas for a binomial distribution. The mean is found by multiplying the total number of trials (150) by the probability of success (0.52): mean = 150 × 0.52 = 78. The standard deviation is found by taking the square root of the product of the number of trials, the probability of success, and the probability of failure (1 - 0.52): standard deviation = √(150 × 0.52 × 0.48) = 6.34.

The interpretation of the mean is that for every 150 adults, the mean is the number of them that would be expected to believe that the overall state of moral values is poor, which in this case is 78.

It would not be unusual if 71 out of the 150 adults surveyed believe that the overall state of moral values is poor, as this value falls within one standard deviation from the mean.

Answer 2

okay so you have to take the steps you learned in math and apply because this is actually hard and you just have to really take your time and annotate the exerpt

Step-by-step explanation: