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

A:

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: Find the standard deviation of the lengths of the wolves in the entire animal preserve.

A: The mean of the lengths of the wolves in the entire animal preserve is,…

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: 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: A researcher measures the amount of food consumed by each dog in her lab. She finds that the mean…

A: It is given that mean amount of food is 12 oz and number of dogs is 16. The sum of squared…

Q: Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores…

A: Given,mean(μ)=100standard deviation(σ)=15and z-score=0.7

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 indicated IQ score. The graph to the right depicts IQ scores of​ adults, and those scores…

A: We have given that The IQ scores are normally distributed with  Mean(µ) = 100 and Standard…

Q: The mean square footage is x = 2,415 (Round to the nearest integer as needed.) The standard…

A:

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: In the equation for computing the standard deviation, n represents what? a. the average b. the mean…

A: Given that Formula for standard deviations Sd=√{∑(x- x̄)/n}

Q: What is the accuracy of 0.8

A: givenaccuracy is 0.8we find in percentage

Q: In which month is it more unusual to have a day with a high temperature of 57°​? Explain

A: For January, mean = 36 and SD = 9 Fir July, mean = 77 and SD = 8 First we calucuate the z scores of…

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

A:

Q: Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores…

A: Given information Mean = 100 Standard deviation = 15 P(X > x) = 0.65 P(X < x) = 1 – 0.65 =…

Q: The amount of annual rainfall in a city over the past 100 years follows a normal curve with average…

A: The objective of this question is to find the percentile of the rainfall distribution for an annual…

Q: Suppose 26% of all small businesses are owned by a particular group of people. In a random sample of…

A:

Q: For 120 consecutive days, a process engineer has measured the temperature of champagne bottles as…

A: Given, that the process engineer measured the temperature of champagne bottles for  consecutive…

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: 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

Q: Identify the test statistic. x² = 116.97 (Round to two decimal places as needed.)

A: Provide data,   25-34 35-44 45-54 55-64 Not HS grand 28 46 49 70 HS 85 18 88 83 1-3 years…

Q: The distances golf balls travel under laboratory testing conditions are normally distributed. The…

A:

Q: Sofia wants to determine the average household expenditure on lawn care products per year. She…

A: Population standard deviation σ = 19.2The confidence interval = 0.95Significance level (α) = 1-…

Q: Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores…

A:

Q: The kelvin is a unit of measurement for temperature; 0 K is absolute zero, the temperature at which…

A: To convert the daily temperature from Fahrenheit to Kelvin, you'll use the formula:…

Q: c. Find the 95th percentile.

A: From the solution, we have μ=1.157 σ=0.532

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!