Based on data from the National Health Survey, women between the ages of 18 and 24have an average systolic blood pressures (in mm Hg) of 116.1 with a standard deviation of12.86. Systolic blood pressure for women between the ages of 18 to 24 follow a normaldistribution.(a) If one woman from this population is randomly selected, find the probability that hersystolic blood pressure is greater than 114.Round your answer to four decimal places.P(x > 114) = Number(b) If 50 women from this population are randomly selected, find the probability that theirmean systolic blood pressure is greater than 114.Round your answer to four decimal places.P(x > 114)= Number

Given that X, the systolic blood pressures (in mm Hg) of women aged between 18 and 24 is normally…

Answered: Based on data from the National Health…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The weight of rice is normally distributed. Each bag of rice weighs with a mean of 50 pounds and a standard deviation of 6 pounds. What is the probability that a bag of rice will weigh between 45 and 55 pounds? Note: Round your answers to 4 decimal places
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1471 and the standard deviation was 318. The test scores of four students selected at random are 1910, 1210, 2210, and 1370. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1910 is (Round to two decimal places as needed.)
A professor knows that her statistics students' final exam scores have a mean of 79 and a standard deviation of 12.4. In his class, an "A" is any exam score of 90 or higher. This quarter she has 25 students in her class. What is the probability that 7 students or more will score an "A" on the final exam?
A survey of college students reported that they spend an average of $9.50 a day on dinner with a standard deviation of $3. What is the probability that 100 randomly selected college students will spend more than $10.25 on average for dinner? Round your answer to 4 decimal places.
The average yearly salary for an electrician is $51853. Suppose that the distribution is normal with a standard deviation equal to $4850. What is the probability that a random sample of 35 electricians had a mean income greater than $50123? Less than $49730? Assume that the sample is taken from a large population and the correction factor can be ignored. Express each probability as a percent rounded to two decimal places. Income greater than $50123: ____%Income less than $49730: _____%
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
The average production cost for major movies is 67 million dollars and the standard deviation is 19 million dollars. Assume the production cost distribution is normal. Suppose that 45 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. For the group of 45 movies, find the probability that the average production cost is between 63 and 65 million dollars.
Suppose that human pulse rates for children over 10 and adults are approximately normally distributed with a mean of 78 and standard deviation of 12. Suppose as random.Answer the question following question, rounding your answers to 4 decimal places.
A survey found that 40% of adults in the United States have a pet in their home. Use this information to find the following: a. Find the probability that when we randomly select 13 adults exactly 7 of them have a pet in their home. Round your answer to two decimal places. b. Find the mean and standard deviation for the number of adults that have a pet in their home when we randomly select 13 adults. Round your answer to two decimal places.
The average production cost for major movies is 63 million dollars and the standard deviation is 20 million dollars. Assume the production cost distribution is normal. Suppose that 35 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible 1. For the group of 35 movies, find the probability that the average production cost is between 61 and 66 million dollars
The distances golf balls travel under laboratory testing conditions are normally distributed. The mean is 312 yards. The probability the golf ball travels further than 319 yards is 0.28. Find the probability a randomly selected golf ball travels between 305 yards and 319 yards. Express the answer as a decimal value rounded to the nearest hundredth.

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