**Understanding Normal Distribution of Female Pulse Rates**Assume that females have pulse rates that are normally distributed with a mean (\( \mu \)) of 72.0 beats per minute and a standard deviation (\( \sigma \)) of 12.5 beats per minute. Let's explore the following scenarios:### Part (a)**Scenario:**If 1 adult female is randomly selected, find the probability that her pulse rate is between 65 beats per minute and 79 beats per minute.**Solution:**The probability is \( \mathbf{0.4246} \).*(Round to four decimal places as needed.)*### Part (b)**Scenario:**If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean between 65 beats per minute and 79 beats per minute.**Solution:**The probability is \( \mathbf{0.9750} \).*(Round to four decimal places as needed.)*### Part (c)**Question:**Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?**Answer Choices:**- **A.** Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.- **B.** Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size.- **C.** Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size.- **D.** Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size.**Correct Answer:**- **A.** Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.This principle is rooted in the Central Limit Theorem, which states that if the population from which a sample is drawn is normally distributed, then the sampling distribution of the sample mean will also be normally distributed, regardless of the sample size.

Name: **Understanding Normal Distribution of Female Pulse Rates**Assume tha
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: **Understanding Normal Distribution of Female Pulse Rates**Assume that females have pulse rates that are normally distributed with a mean (\( \mu \)) of 72.0 beats per minute and a standard deviation (\( \sigma \)) of 12.5 beats per minute. Let's ex

Given that The pulse rates are normally distributed. Mean = 72 beats per minute. standard deviation…

Math

Statistics

Assume that females have pulse rates that are normally distributed with a mean of u = 72.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below.

Assume that females have pulse rates that are normally distributed with a mean of u = 72.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

need range and standard deviation
Please show the complete solution
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 42 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.50 ml/kg for the distribution of blood plasma. When finding an 99% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.) zc = (a)Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limit ___ upper limit ____ margin of error ____ (b)What conditions are necessary for your calculations? (Select all that apply.) A-? is known B-? is unknown C-the distribution of volumes is normal D-the…
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 45 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.80 ml/kg for the distribution of blood plasma. When finding an 99% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.) zc = (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limitupper limitmargin of error (b) What conditions are necessary for your calculations? (Select all that apply.) n is large? is known? is unknownthe distribution of volumes is normalthe distribution of…
The shelf life of a batteries produced by one major company are normally distributed with a mean of 4.3 years and a standard deviation of 0.6 years. The figure below shows the distribution of shelf lives of batteries produced by one major company. Calculate the shaded area under the curve. Answer:
"Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing. "Wrinkle recovery angle" measures how well a fabric recovers from wrinkles. Higher is better. Here are data on the wrinkle recovery angle (in degrees) for two types of treated fabrics: Permafresh Hylite 15 17 12 14 13 16 16 15 14 18 A manufacturer wants to know how large is the difference in mean wrinkle recovery angle. Give a 98% confidence interval for the difference in mean wrinkle recovery angle: [three decimal accuracy] [three decimal accuracy]
Assume the cholesterol levels of an adult can be described by a Normal model with a mean of 183 mg/dL and a standard deviation of 27. Complete parts a through e. b) What percent of adults do you expect to have cholesterol levels over 190 mg/dL? enter your response here % (Round to two decimal places as needed.) Part 3 c) What percent of adults do you expect to have cholesterol levels between 150 and 160 mg/dL? enter your response here % (Round to two decimal places as needed.) Part 4 d) Estimate the interquartile range of cholesterol levels. IQR=enter your response here mg/dL (Round to the nearest integer as needed.) Part 5 e) Above what value are the highest 15% of adults' cholesterol levels? enter your response here mg/dL (Round to the nearest integer as needed.)
Assume that blood pressure readings are normally distributed with μ= 124 and σ= 9. A researcher wishes to select people for a study but wants to exclude the top and bottom 9 percent. What would be the upper and lower readings to qualify people to participatein the study?
Two companies, A and B, drill wells in a rural area. Company A charges a flat fee of 3095 dollars to drill a well regardless of its depth. Company B charges 1180 dollars plus 9 dollars per foot to drill a well. The depths of wells drilled in this area have a normal distribution with a mean of 240 feet and a standard deviation of 35 feet. Find the mean amount charged by Company B to drill a well. Enter the exact answer. μ = i dollars
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 46 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.80 ml/kg for the distribution of blood plasma. When finding an 99% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.) zc = (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limitupper limitmargin of error (b) What conditions are necessary for your calculations? (Select all that apply.) n is largethe distribution of weights is normalthe distribution of weights is uniform? is…