The average resting heart rate of a population is 85 beats per minute, with a standard deviation of 11.5 bpm. Find the z-scores that correspond to each of the following heart rates. Round your answers to the nearest hundredth, if necessary. (a) 111 bpm (b) 66 bpm

Q: Levels of a certain enzyme in the blood have a mean value of 27.0 mg/mL and a standard deviation of…

A:

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

A: normal distribution μ = 100σ = 15 P(108<x<132) = ?

Q: Smith works as a welder inspector in a shipyard. He knows from keeping track of good and poor welds…

A: Givenp^=0.05sample size(n)=300

Q: Find the standard deviation of this number set: {2, 4, 9} showing all of the steps involved as shown…

A:

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

A: given data, normal distribution , μ=100σ=15we have to find out the shaded region for the given…

Q: The time for degree completion was record below. Years 4 6 5 6 5 8 Calculate the standard…

A: Calculation:The number of observations on time for degree completion (years) is, n = 6. Denote xi as…

Q: Suppose you select a sample of 2,000 high school seniors' verbal SAT scores. The mean and standard…

A:

Q: You throw a ball as far as you can 5 times, recording the distance for each throw: 165 feet, 184…

A: since only 5 observation is given we will consider them as sample (n = 5)and population (N = 100)…

Q: Use the body temperatures, in degrees Fahrenheit, listed in the accompanying table. The range of the…

A:

Q: The ages (in years) of a random sample of shoppers at a gaming store are shown. Determine the range,…

A: Given data:- 12,17,23,14,13,18,21,16,14,19Range=maximum-minimum=23-12=11Mean =…

Q: mean 21 and standard deviation 3. Use your graphing calculator to find each of the following areas.…

A:

Q: Assume that thermometer readings are normally distributed with a mean of 0°C and a standard…

A: Suppose the random variable z defines the thermometer reading.

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

A: Given that: Z is standard normal Distributed with i.e. mean µ =0 and standard deviation σ =1 now…

Q: Fill in the missing values in the table. Round your responses for the expected frequencies to two or…

A: To fill the missing  values.

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

A:

Q: Use the table to answer each question. Note: Round z-scores to the nearest hundredth and then find…

A:

Q: You measure the height of 10 people and come up with an average of 70 inches and a standard…

A: x=70s=4n=10 The t scores for 68 inches, t=68-xsn=68-70410=-1.581139

Q: ather drops his three children off at the movie theater and give nd on a movie and concession…

A: let X1,x2,x3 be the three children. A father drops his three children off at the movie theater and…

Q: Use the table to answer each question. Note: Round z-scores to the nearest hundredth and then find…

A: We have to find given probability.

Q: There are four brothers in a family.  Their ages are 7 years,10 years,15 years, and 21 years.…

A:

Q: distribution of the height of a tomato plant is normal with population mean of 50 inches. The 80th…

A: Provided data is, distribution of the height of a tomato plant is normal with population mean of 50…

Q: Calculate the standard score for each given value. Round your answer to the nearest hundredth

A: According to the given information, we have Mean = 3.19 Standard deviation = 0.06

Q: Determine a z-score to the nearest 0.01 for each of the test scores. Which is the better score? Rour…

A: Given data,For TEST A:Mean=670sd=80Test score=950For TEST B:Mean=2.7sd=0.4Test score=4.6

Q: se the z-score formula, z=x−μ/σ, and the information below to find the mean, μ. Round your answer to…

A: z score =x-μσZ=3.25x=22.1σ=2.4x=?

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

A: Let X denotes the random variable of the reading on the thermometers  X~N(0,1) We have to find the…

Q: Given the data: 47, 55, 57, 63, 73. Find the standard deviation. Round the final answer to the…

A:

Q: Xold = 78  M = 72   s = 15 Xnew= ?  M = 75   s = 10 What is the new raw score?

A: Solution-: Given: Xold=78,M=72,s=15            Xnew=?,M=75,s=10 We want to find new raw score=?…

Q: A medical lab tested a sample of 8 vials of blood for acidity on the pH scale.  Use this data to…

A:

Q: Which of the following is the statistical symbol for population standard deviation?

A: The standard deviation tells us about the spread of the data points from the mean value. The…

Q: Use the table to answer each question. Note: Round z-scores to the nearest hundredth and then find…

A:

Q: Calculate the z-score of 4.3 in this population: 4.3   6.5   5.4 (Round your answer to two decimal…

A:

Q: A student takes a multiple-choice test that has 6 questions. Each question has four choices. student…

A: It is given that,  A student takes a multiple-choice test that has 6 questions i.e. n=6 Each…

Q: For standard deviation, the x-x or the y-y, which numbers do you use?

A: Please find the explanation below.

Q: A recent Nielsen analysis found that the typical U.S. smartphone user is spending an average of 220…

A: The random variable time follows normal distribution. The sample mean is 205. The sample standard…

Q: Identify the P-Value.…

A: From above calculation we have The null and alternative hypothesis are H0 : µ = 24H1 : µ > 24…

Q: A person completes a timed task and is told that their z-score for the task is 1.36. The mean for…

A: Given: Population mean (µ) = 10.75 Population standard deviation (σ) = 2.40 z-score = 1.36

Q: The mean and standard deviation for the final exam in Dr. Fudd's class were as follows: mean = 86…

A: Given that  Mean = 86  ,  Standard deviation = 3  Bugs scored = 88

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!