In the US, the systolic blood pressure of a randomly selected patient is normally distributed with a mean of120 mmHg and a standard deviation of 16.1 mmHg. Let X be the systolic blood pressure of a randomlyselected patient and let X be the average systolic blood pressure of a random sample of size 14.1. Describe the probability distribution of X and state its parameters μ and σ:X N2. Use the Central Limit Theoremor (μ =and find the probability that the systolic blood pressure of a randomly selected patient is less than 85.2mmHg.X~0the original population is normally distributed although the sample size is small (n<30)0 =(Round the answer to 4 decimal places)to describe the probability distribution of X and state its parameters µx and ox: (Round the answers to 1decimal place)Select an answer (x-ох=and find the probability that the average systolic blood pressure of a sample of 14 randomly selectedpatients is between 110.3 and 111 mmHg.3.0 X (Round the answer to 4 decimal places) …‒‒‒‒ⒸX ~unknown---According to a study, the length of pregnancy has unknown distribution with a mean of 274 days and astandard deviation of 14.8 days. Let X be the length of pregnancy for a randomly selected female and letX be the average length of pregnancy for a random sample of size 11.1. Describe the probability distribution of X and state its parameters μ and σ:or (μ=σ =and find the probability that the length of pregnancy for a randomly selected female is more than 313days.(Round the answer to 4 decimal places)Note: If it is not possible to compute, type "DNE"2. Explain why the Central Limit Theorem cannot be usedthe sample size is small (n<30) and the distribution of the original population is unknown

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Answered: In the US, the systolic blood pressure…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ between 93 and 117.
Assume that adults have IQ scores that are normally distributed with a mean of µ = 100 and a standard deviation o = 20. Find the probability that a randomly selected adult has an IQ between 80 and 120.
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000 miles of driving) of cars of a particular model varies Normally with mean 90 mg/mi and standard deviation of 4 mg/mi. A company has 25 cars of this model in its fleet. Find the level L such that the probability that the average NOX + NMOG level bar x for the fleet greater than L is only 0.03? Round final answer to three decimals.
A food manufacturer claims that eating its new cereal as part of a daily diet lowers total blood cholesterol levels. The table shows the total blood cholesterol levels (in milligrams per deciliter of blood) of seven patients before eating the cereal and after one year of eating the cereal as part of their diets. Use technology to test the mean difference. Assume the samples are random and dependent, and the population is normally distributed. At α=0.05, can you conclude that the new cereal lowers total blood cholesterol levels? Patient 1 2 3 4 5 6 7 Total Blood Cholesterol (Before) 215 225 235 240 255 260 225 Total Blood Cholesterol (After) 214 222 240 237 254 257 222 Let the blood cholesterol level before eating the cereal be population 1. Let the blood cholesterol level after eating the cereal be population 2. Identify the null and alternative hypotheses, where μd=μ1−μ2. Choose the correct…
Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=15. Find the probability that a randomly selected adult has an IQ less than 123.
The annual rainfall in a certain region is modeled using the normal distribution shown below. The mean of the distribution is 36.5 cm and the standard deviation is 5.2 cm. In the figure, V is a number along the axis and is under the highest part of the curve. And, U and W are numbers along the axis that are each the same distance away from V. Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, V, and W. Percentage of total area shaded: (Choose one) ▼ 200 35 | 55 25 30 40 45 50 ( cm) Submit Continue |Privacy Center © 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use DIl S0 FB F7 esc F3
Assume that a randomly selected subject is given a bone density test. These test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score is less than -0.71.
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 44 mg/mi. A company has 2525 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.050.05 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.) ?= ?
Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=15. Find the probability that a randomly selected adult has an IQ between 89 and 121.
Let ex be a random variable that represents the hemoglobin count (HC) in human blood (measured in grams per milliliter). In healthy adult females, x has a approximately normal distribution with a population mean of 14.0 and population standard deviation equal 2.3. Suppose a female patient had 10 blood test over the past year , and the sample mean HC was determined to be 15.3. With a level of significance a= 0.05, determine whether the patient's HC is higher than the population averages. Specifically do the following: write the data state null hypothesis H0 and the alternate hypothesis H1
Suppose the weight of pieces of passenger luggage for domestic airline flights follows a normal distribution with u = 24 pounds and o = 6.3 pounds. (a) Calculate the probability that a piece of luggage weighs less than 28.8 pounds. (Assume that the minimum weight for a piece of luggage is 0 pounds.) (b) Calculate the weight where the probability density function for the weight of passenger luggage is increasing most rapidly. Ib (c) Use the Empirical Rule to estimate the percentage of bags that weigh more than 11.4 pounds. % (d) Use the Empirical Rule to estimate the percentage of bags that weigh between 17.7 and 36.6. % (e) According to the Empirical Rule, about 84% of bags weigh less than pounds.

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