Find the z-score for the value 86, when the mean is 61 and the standard deviation is 1. O A. z= - 1.39 O B. 2= 25.00 O C. z=1.39 O D. z=24.00

Q: Find the z-score for the value 62, when the mean is 56 and the standard deviation is 2. O A. z=3.00…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: Find the z-score for the value 82, when the mean is 98 and the standard deviation is 3. OA. 2= -567…

A: From the provided information, Mean (µ) = 98 Standard deviation (σ) = 3 X~N (98, 3)

Q: Find the​ z-score for the value 87​, when the mean is 82 and the standard deviation is 8. A. z=−0.96…

A: Given,mean(μ)=82standard deviation(σ)=8and the value(x)=87

Q: A sample was done, collecting the data below. Calculate the standard deviation, to one decimal…

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Q: Calculate the standard deviation, round the standard deviation to 3 decimal X 0 1 2 3 4 5 Total…

A: The formula of the variance σ2 of a discrete random variable X is                    σ2=∑(x−μ)2P(x)…

Q: The grades of students were normally distributed with mean of 68 and standard deviation of 15.70. If…

A: A distribution which has bell shaped curve is called normal distribution. A bell shaped distribution…

Q: Find the standard deviation, σ, for the binomial distribution which has the stated values of n and…

A: n = 48; p = 3/5 X ~ N(n, p) Standard deviation = npq                                = 48×35×25…

Q: The mean score of a placement exam for entrance into a math class is 80 points, with a standard…

A: Given:-    μ = 80    6=10

Q: Find the standard deviation, , for the binomial distribution which has the stated values of n and p.…

A: The standard deviation for the binomial distribution is given by,

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: Q2: b) For a mean of 70 and a standard deviation of 8, find standardized score for a value of 80.…

A: Givenmean(μ)=70standard deviation(σ)=8x=80

Q: A sample was done, collecting the data below. Calculate the standard deviation, to one decimal…

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Q: Find the standard deviation (rounded to the nearest unit) for the data indicated. Test Score…

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Q: A national achievement test is administered annually to 3rd graders. The test has a mean score of…

A: The formula of Z score is ,  z = x - μσ

Q: The systolic blood pressure for a healthy person is normally distributed with a mean of 120 and a…

A: Correct Answer is  (d) 118.95

Q: Suppose that the mean weight for men 18 to 25 years old is 168 pounds, and the standard deviation is…

A: Mean = 168 Standard deviation = 23

Q: A new extended-life light bulb has an average life of 750 hours, with a standard deviation of 50…

A: As per empirical rule approximately 68-95-99.74% data fall within 1-2and3sd of mean.

Q: A national secondary achievement test is administered annually to high school students. The test…

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Q: A sample was done, collecting the data below. Calculate the standard deviation, to one decimal…

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Q: Find the following z scores with a mean of 20 and a standard deviation of 5. a. 20 b. 32 c. 28 d. 25

A: Note :Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Find the z-score for the value 79, when the mean is 81 and the standard deviation is 7. O A. z=…

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…

Q: A random sample of 49 shoppers showed that they spend an average of $23.45 per visit and the…

A: 1. Point estimate of the population mean is the sample mean.

Q: The mean grade on a final examination was 72 and the standard deviation was 9. The top 10% of the…

A: Mean(µ) = 72Standard deviations (σ) = 9

Q: The mean score of 100 students taking a statistics final was 70 with a standard deviation of 7.…

A: Note: Since the probability values are given, the probability that the student score less than 65 is…

Q: A recent survey indicated that the average amount spent for breakfast by business managers was $8.0…

A: Givensample size(n)=81Mean(x)=8.5standard deviation(s)=2.5

Q: A distribution of values is normal with a mean of 220.2 and a standard deviation of Find P16, which…

A: Let P16 = c So, P(X<c)=0.16  we have to find c.

Q: On an exam with a mean = 70, you have a score of X =75.  Which of the following values for the…

A: Given that, On an exam with a mean = 70, you have a score of X =75. Formula for z-score:…

Q: f the value of adult male cholesterol is a normal distribution with a mean of 198 and a standard…

A: The question is about normal dist. Given : Mean of cholesterol value of adult male ( μ ) = 198 Std.…

Q: An upscale women's clothing boutique in Laguna Beach, on average, has daily sales of $28,176.44. The…

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Q: Find the standard deviation (rounded to the nearest unit) for the data indicated. Test Score…

A:

Q: A sample was done, collecting the data below. Calculate the standard deviation, to one decimal…

A: The formula of the standard deviation is,

Q: The scores on a mathematics exam have a mean of 73 and a standard deviation of 9. Find the x-value…

A: We have given that  X~N(mu,sigma^2) mu=73  , sigma = 9  ,Z-socre =5.019 Z-socre =(x-mu)/sigma

Q: The scores of the students are normally distributed with a mean of 85 and a standard deviation of 4.…

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Q: 4. The average waist size for teenage males is 29 inches with the standard deviation of 2 inches.…

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Q: Find the mean, p, for the binomial distribution which has the stated values of n and p. Round answer…

A: As per company guidelines I solved only First questions..thank you

Q: A sample was done, collecting the data below. Calculate the standard deviation, to one decimal…

A: Standard Deviation:- Standard Deviation is defined as the square root of the mean of the square of…

Q: A sample was done, collecting the data below. Calculate the standard deviation, to one decimal…

A: Given :

Q: A test has a mean score of 150 with a standard deviation of 12. Scores are normally distributed.…

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: On an exam with u=52 ,a person scores x=56.Which value for the standard deviation would give this…

A: We have given that,  Mean = 52 , X = 56 , We have to find z-score at  (1) sigma = 2  (2) sigma = 4…

Q: Calculate the mean of a set of data with a standard deviation of 4, given that a value of 73 has a…

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Q: Find the following z scores with a mean of 25 and a standard deviation of 4. a. 20 b. 32 c. 28…

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Q: Find the standard deviation (rounded to the nearest unit) for the data indicated. Test Score…

A: Given Information:

Q: Find the z-score for the value 91, when the mean is 58 and the standard deviation is 3 O A. z=11.00…

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Q: Find the standard deviation (rounded to the nearest unit) for the data indicated.   Test Score…

A: Solution: x(1) Frequency (f)(2) f⋅x(3)=(2)×(1) f⋅x2=(f⋅x)×(x)(4)=(3)×(1) 50 3 150 7500 60 6…

Q: What is the z-score of x = 3 if it is 2 standard deviation to the left of the mean? O -3 O -2 O -1 O…

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Q: Find the z-score for the value 51, when the mean is 65 and the standard deviation is 8, rounding to…

A: Solution: Let X be the random variable. From the given information, µ=65 and σ=8.

Q: On an exam with u = 52, you have a score of X= 44. Which of the following values for the standard…

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Q: what is the z score for a person who received an SAT mathematics score of 685?

A: Here Given, The mean mathematics score for seniors who took the SAT in 2018 was 531. If the standard…

Q: The average score on a test of 40 students has a mean score of 53 and a standard deviation of 6. At…

A: Answer - The average score on a test of n = 40 Student has a mean score μ = 53  and σ = 6…

Q: A certain machine makes electrical resistors having a mean resistance of 50 ohms and a standard…

A: According to the given information, we have Mean = 50 Standard deviation = 4