Assume that a normal distribution of data has a mean of 24 and a standard deviation of 4. Use the 68−95−99.7 rule to find the percentage of values that lie below 36.

Q: On a test that has a normal distribution, a score of 66 falls three standard deviations above the…

A: Given 66 falls 3sd above mean and 60 falls 1sd above mean

Q: Let, X has a normal distribution with a mean of 40 and a standard deviation of 8. The z value for x…

A:

Q: An agronomist measured the height of 115 Canola plants. The mean height was 242 cm and the standard…

A: The mean is 242 cm and the standard deviation is 14 cm.

Q: Assume that​ men's heights have a distribution that is symmetrical and​ unimodal, with a mean of 70…

A: We hava given that,  Let X be the men's height from Symmetrical and distribution with mean (μ) = 70…

Q: For a recent SAT reading/writing test which is distributed normally with a mean of 533 and standard…

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three…

Q: Let X follow a normal distribution with mean 5.3 and unknown standard deviation. If P(X < 11.6) =…

A: From the given information, let X follows a normal distribution with mean of 5.3 and standard…

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A:

Q: suppose that the test scores follow a normal distribution with a mean 75 and a standard deviation…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 75 and…

Q: A random sample of 40 students has a mean annual earnings of​ $3120 and assume that the population…

A: The assumed margin of error for a provided true standard deviation and a large sample (i.e n&gt;30)…

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A:

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A: Given mean is 0 and standard deviation is 1. Given that that P(z&lt;e)=0.4657

Q: A normal distribution has a mean of μ = 70 and a standard deviation of σ = 8. For each of the…

A: Given information Mean μ = 70 Standard deviation σ = 8

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A: From the provided information, X ~ N (0, 1) Here 0 is the mean and 1 is the standard deviation.

Q: Suppose the distribution of yearly car repairs cost has a normal distribution with a mean of $400…

A: Determine the mean repair cost that bounds the top 18% of car repair costs. The mean repair cost…

Q: Assume that the mean monthly pay for an organization is $1500 and the standard deviation is $300.…

A: Mean will be increased by $200 then the new mean will be $1700

Q: Which of the following values for the population standard deviation would cause a score located…

A: Higher the standard deviation more will be the spread of the data. And the point will be farther…

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If P(0…

A:

Q: indicate whether the body is to the right or left of the score and find the proportion of the…

A: Given :  A normal distribution has a mean of μ = 30  standard deviation of σ = 12.

Q: Let X has a normal distribution with a mean of 120 and a standard deviation of 20. The z value…

A:

Q: For a normal distribution with a mean of μ = 60 and a standard deviation of σ = 10, find the…

A:

Q: A researcher finds that the mean income (in dollars per week) of a sample of people who live in a…

A: Given:

Q: Suppose that the middle 95% of speeding ticket fines on a highway fall between 84.28 and 137.04.…

A: 95% CI  = (μ - kσ , μ + kσ)

Q: length of pregnancies are normally distributed with a mean of 266 days and a standard deviation of…

A: A baby will be considered premature if he borns at least 3 weeks ago. Means 21 days ago

Q: Write down the formulas for the standard deviation of x.

A: The formula for the sample standard deviation can be written as: Here, n is the sample size and x̅…

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A: Sketch the normal curve and shade the area of 0.1606 to the left of "e" under the normal curve.…

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A: Given Data: z follows the normal distribution Mean=0 SD=1

Q: 24. Assume that the resting heart rate in humans is normally distributed with a population mean of…

A: X be the resting heart rate in humans is normally distributed with a population mean μof 72 bpm and…

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A: Given,P(z&lt;e)=0.0516

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A: GivenMean(μ)=0standard deviation(σ)=1

Q: In a Normal Distribution with the Mean of 88 and the Standard Deviation of 7, find P (x > 77)

A: The z-score of a random variable x is defined as follows: z = (x – µ)/σ. Here, µ and σ are the mean…

Q: Suppose that prices of a certain model of new homes are normally distributed with a mean of…

A: Let X denote the prices of a certain model of new homes and it follows normal distribution with…

Q: Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard…

A:

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A:

Q: What is the observed value for the 98th percentile of a population with a mean of 2.5 and a standard…

A:

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A: The probability value is 0.9866. 1-α=0.9866α=0.0134α2=0.00671-α2=0.9933 The probability 0.9933 would…

Q: Assume that X has a normal distribution, and find the indicated probability. The mean is µ = 60.0…

A: Givenmean(μ)=60.0standard deviation(σ)=4.0

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A: It is an important part of statistics. It is widely used.

Q: In a Normal Distribution with the Mean of 77 and the Standard Deviation of 5 , find P ( x>66)

A: Given,   Mean = 77 Standard deviation = 5   The objective is to find P ( x&gt;66)

Q: Suppose that vehicle speeds at an interstate location have a normal distribution with a mean equal…

A: The random variable vehicle speed follows normal distribution. The population mean is 70. The…

Q: The mean of a distribution is 50 and the standard deviation is 6. Using the empirical rule, find the…

A:

Q: Given that x ( = flight times between cities A and B) follows a normal distribution with a mean of…

A: GivenMean(μ)=64standard deviation(σ)=2.5

Q: Assume that X has a normal distribution where the mean is μ= 15.2 and the standard deviation is σ=…

A: The mean is 15.2 and the standard deviation is 0.9.

Q: GPAs at CCSU are normally distributed with a mean of 2.18 and a standard deviation of 0.57. Find the…

A: Given: Population mean μ=2.18 Population standard deviation σ=0.57 Observed value of GPAs (X) = 2.92…

Q: Given a Normal Distribution with a population mean test score of 500 and a population standard…

A: We have to find standard error and given probability..

Q: GMAT scores are approximately normally distributed with a mean of 547 and a standard deviation of…

A: Given: μ = 547σ = 95

Q: A variable x has a normal distribution with a mean of 250 and a standard deviation of 20. What value…

A:

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A:

Q: Given a test that is normally distributed with a mean of 100 and a standard deviation of 12, find:…

A:

Q: The birth weights for twins are normally distributed with a mean of 2353 grams and a standard…

A: Given  μ=2353σ=647z=x-μσ

Q: Use the normal distribution of IQ​ scores, which has a mean of 75 and a standard deviation of 11​,…

A: GivenMean(μ)=75standard deviation(σ)=11