Normal Distributions According to the Center for Disease Control, young adult women have an average systolic blood pressure of 114.8 with a standard deviation of 13.1. Systolic blood pressure for young adult women follows a normal distribution. Four young adult women were randomly selected, find the probability that their average systolic blood pressure is greater than 125. P(I > 125) = For this problem, we were told that the distribution is normal. If the shape of the distribution was not stated, we would not have been able to use the normal distribution table to find the probability. What does the Central Limit Theorem tell us to do to be able to normalize the distribution? It cannot be normalized What is the rule of thumb for normalizing the sampling distribution of means? np 2 10 and ng 2 10 + Please answer all parts of the question.

The IQ of highschool seniors is normally distributed with a mean of 100 and a standard deviation of 15. What is the probability that a sample of 15 students will have a sample mean less than 99.  Give your answer to three decimal places and write as a proportion (i.e. between 0 and 1).

In your work as a biomedical engineer, you need to better understand the distribution of adults' blood pressures. Specifically, you are interested in systolic blood pressure, which is a measure of pressure within arteries when a heart beats; this is the first number in a blood pressure reading. In healthy adults, systolic blood pressure has a normal distribution with a mean of 112 mm Hg and standard deviation of 10 mmHg. Before you collect sample data, you want to predict the range in which you expect almost all of the data to fall. Which of the following represents the interval that will likely contain almost all (~99.7%) of the sample measurements of healthy adult systolic blood pressure? A) (102 mm Hg, 122 mm Hg) B) (92 mm Hg, 132 mm Hg) C) (82 mm Hg, 142 mm Hg) D) (72 mm Hg, 152 mm Hg)

A normal distribution has a mean of 148 and a standard deviation of 5. Find the z-score for a data value of 136.