Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

Q: d. Describe how any outlier affects the mean and the standard deviation

A: If X1, X2, ..., Xn are n observations in an experiment,  Mean=1n∑i=1nxiStandard…

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Q: The mean is u: = and the standard deviation is o: =

A: Given,

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A: Standard deviation is a measure of the amount of dispersion of a set of values. It is obtained by…

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

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Q: Find the z-score for the value 69, when the mean is 96 snd the standard deviation is 5. z-score= ?

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Q: Find the Z-Score for a IQ  test score of 142 when the mean is 100 and the standard deviation is 15.

A: It is given that the mean and standard deviation are 100 and 15, respectively. The IQ test score is…

Q: A score that is 12 points below the mean corresponds to a z-score of z= -1.50. What is the standard…

A: Given that, A score that is 12 points below the mean corresponds to a z-score of z= -1.50.

Q: find the z-score for the value 69, when the mean is 96 and the standard deviation is 5.

A:

Q: Find the​ z-score for the value 55​, when the mean is 79 and the standard deviation is 5.

A: The z score indicates how many standard deviations that a data points away from the mean. It can be…

Q: find the z-score for the value 95, when the mean is 77 and the standard deviation is 2.

A: Given, mean=77 standard deviation=2 find the z-score for the value 95

Q: A consumer survey indicates that the average household spends μ = $185 on groceries each week. The…

A: From the provided information, Mean (µ) = $185 Standard deviation (σ) = $25 Let X be a random…

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

A: Let X be the GMAT scores.Hence, X ~ Nμ=547, σ=95 a) We have to find the…

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A: Let z scores are normally distributed with mean of μ=0 and standard deviation of σ=1 The value of b…

Q: On a spelling test, the standard deviation is equal to 0.94. What does this mean

A: We know that the Standard deviation tells us that how much data is scattered around the mean value…

Q: Find the area of the shaded region. a standard deviation of 15.

A: Mean = 100 Standard deviation = 15

Q: the data set has a size 50, how many observations lie within 2 standard deviations of the mean

A: From the provided information, Sample size (n) = 50 The observations lie within 2 standard…

Q: Scores on the verbal reasoning portion of the GRE have a mean of 150 and a standard deviation of 8.…

A: The provided information are: Population mean μ=150 Population standard deviation (σ) = 8 Z-score =…

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: The mean always has a z-score (value) →

A: When the data is converted into z scores, the mean will always end up being zero.

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A: Given data,μ=1000σ=200n=16z=2.7x=?

Q: display of data to find the standar

A: Given,

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

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

A: Solution: Note: Hello! As you have posted 2 different questions, we are answering the first…

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

A:

Q: Find the z-score for the value 86, when the mean is 61 and the standard deviation is 1. O A. z= -…

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Q: A major credit card company has determined that the amount its customers charge on their accounts is…

A: Given that, Mean = 2800 Standard deviation = 200 Number of customers = 20000

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A: It is given that the mean is 6,300 and the standard deviation is 1,750.

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

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

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A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: The quartiles of any distribution are the 25th and 75th percentiles. About how many standard…

A: 25th Percentile = P(Z <z ) = 0.25 For normal table  P(Z < -0.67 ) = 0.2514 Hence, 25th…

Q: (Q2) A store room measured in length equal to (5m + 3 cm), measured width equal to (4m 2cm) measured…

A: Given, Length =5m +3cm=500+3=503cm, Width =4m+2cm=(400+2)cm=402cm Height =3m+4cm=(300+4)cm=304cm.…

Q: Find the mean and standard deviation

A: Uniform Distribution :  The uniform distribution is a type of continuous probability distribution…

Q: According to the Distribution of Z table, ______________ % of area is below a Z value of -1.16?

A: Z value = -1.16 Percentage of area that is below a Z value of -1.16 is given as,

Q: Find the z-score for the value 80, when the mean is 70 and the standard deviation is 2.

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Q: Find the z-score when x is 5, mean equals 7, and standard deviation 3.

A: Solution: Let X be the random variable. Then, the z-score is calculated by using the formula

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: Brian scored an 80% on a Chemistry Exam. The average on the exam was a 68%, with a standard…

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Q: In a normal distribution, it is found that the mean is 56 and the standard deviation is 5, Find the…

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Q: In a Calculus test, the mean score is 42 and the standard deviation is 5. Assuming the scores are…

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Q: The time is takes a studen to walk from the dorn to the chemistry lab follows roughly a Normal…

A: Mean(µ) = 20 Standard deviations (σ) = 3 X ~ N (µ, σ )= N ( 20, 3)

Q: A test was given to 120 students, and the scores 8 approximated a normal distribution. If the mean…

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Q: Karen scored a 76 on an exam whose mean is 74 and whose standard deviation is 8. Find her z score.

A: