A sample of 36 children with low self-esteem is given a standardized test for depression. Find the probability that an average depression score to be more than 97 out of a sample of 36? Graph the distribution and label at least  three standard deviation above and below the mean. Shade the distribution according to the question? The mean is 90 and the standard deviation is 12, i'm not sure if I have to work out a new standard deviation?

Q: A group of data has a mean of 69 with a standard deviation of 5. What is the probability of finding…

A: Given the mean= 69 and standard deviation = 5 So, z score of 61 is:

Q: A student has taken a 50-point exam and wants to know how his score of 38 compares to the scores of…

A: It is given that Mean = 40 Standard deviation SD = 4 Score X = 38

Q: The average high temperature for Atlanta in January is 53 degrees with a standard deviation of 8.2…

A: INTRODUCTION :  To measure the variability of which series is consistent than any other then the…

Q: Suppose the exam average in a class is 82% with a standard deviation of 6. What proportion of…

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Q: The test scores in a class are normally distributed with a mean score of 77. if the standard…

A: The distribution of test score are normally distributed with mean of 77. Now consider the standard…

Q: The chloride concentration in the blood (mmol / liter) averages 104 with a standard deviation of 5.…

A: Given Data: Let X represent the random variable   X~ Normal (104, 52) n=200 Therefore, X¯ ~ Normal…

Q: The distribution of the cost of a family’s dine-out meal has a mean of $55.30 and a standard…

A: Given ,Mean μ=$55.30Standard deviation σ=$4.00

Q: The mean monthly rent for apartments in a certain city is $930 with a standard deviation of $350.…

A: Note: Since you have posted multiple independent questions in the same request, we will solve the…

Q: The scores of the students in the final examination in Advanced Algebra are normally distributed…

A:

Q: suppose that you scored 60 on a test that has a population mean of 64 and a standard deviation of 8.…

A: Given: Test Score x=60 μ=64σ=8 Transform in which  μ=50σ=10

Q: A test has a mean of 140 and a standard deviation of 27. What proportion of people have scores…

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Q: The effect of a medication can be evaluated by how many days the patient recovered. 10 patients are…

A: Test for Standard deviation: The χ2 Chi-Square test is used to test the significance difference…

Q: Chris obtains a raw score of 84. The mean in the sample is 80 and the standard deviation is 10, so…

A:

Q: Suppose you have a test with a mean of 66 and a standard deviation of 5. If you first increase…

A: Given Mean =66 Standard deviation=5

Q: Imagine the average score on an exam ends up being 71 with a standard deviation of 10. If scores are…

A: From the given information, let us define the random variable X as the scores of an exam follows…

Q: If a distribution has a mean of 50 and a standard deviation of 5, what value would be -1 standard…

A: Given, μ=50σ=5z=-1x=?

Q: The GMAC Insurance company reported that the mean score on the National Drivers Test was 67.5 with a…

A:

Q: A analyst wants to determine if the average TA spends less time solving a question than the average…

A: Solution: LetX1 be the time to solve a question by TA and X2 be the time to spend by a honor…

Q: mean of μ = 78. If your score is X = 70, which standard deviation would give you a better grade: σ…

A: A distribution of exam scores has mean µ=78, and σ2=42 i.e. X~N(µ=78, σ2=42) If exam score is x=70,…

Q: A recent survey found that 61​% of all adults over 50 wear glasses for driving. In a random sample…

A: A recent survey found that 61​% of all adults over 50 wear glasses for driving. In a random sample…

Q: The standard deviation of the scores on a skill evaluation test is 421 points with a mean of 1728…

A: Reviewing information, Given, μ=1728σ=421n=309

Q: If the probability of defective bolt is 0.1, find the mean and the standard deviation for the number…

A: Given the probability of a defective bolt is, 0.1 That is, p=0.1 The total number of bolts is, n=400…

Q: Based on surveys of random samples from students at a university, the proportion of university…

A: 1) Given information: p=0.62, σ=0.04Confidence level=0.95

Q: Suppose the exam average in a class is 82% with a standard deviation of 2. What proportion of…

A:

Q: Omar is trying out to be a firefighter.  On the written exam, the mean of everyone who takes the…

A:

Q: The arithmetic mean and the standard deviation of a set of 9 items are 43 and 5 respectively . If an…

A:

Q: Ava scored a 92 on a test with a mean of 71 and a standard deviation of 15. Charlotte scored a 688…

A: HERE GIVEN , Ava scored a 92 on a test with a mean of 71 and a standard deviation of 15. Charlotte…

Q: Suppose that you are conducting a survey on how many students have blue eyes in each first period…

A: Given: Number of students having blue eyes = X  Mean of X = 6 standard deviation of X = 2 .

Q: Pattys final exams have an average of 78 and a standard deviation of 6.  If she wants 4% of her…

A: X follows a Normal distribution with mean = 78 and S.D = 6 Then z=(x-mean)/SD = (x-78)/6  follows…

Q: A student scores 80 in math which has a mean of 70 and standard deviation of 10. He also scores 85…

A: GivenStudent scores 80 in math with Mean(μ)=70standard deviation(σ)=10student scores 85 in english…

Q: The mean of the population is 100 and the standard deviation is 15 (These are IQ values by the way.…

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Q: The standard deviation of the scores on a skill evaluation test is 290 points with a mean of 1286…

A: We have to find given Probability.

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

A: Solution: Let X be the score. From the given information, X follows normal distribution with mean…

Q: Suppose that the mean IQ in the United States is roughly100 and the standard deviation is 15 points.…

A: Given: Meanμ=100Standard deviationσ=15 Consider, X be the random variable that follows the normal…

Q: The mean of a normal probability distribution is 600; the standard deviation is 20. About 95% of…

A: GivenMean(μ)=600standard deviation(σ)=20

Q: Neil scored 67 on his calculus class final and was devastated by his failing grade. His class…

A: From the provided information, The mean and standard deviation of Neil class are as follow: Mean (µ)…

Q: The mean of a test is 86 with a standard deviation of only 4. How likely (what probability) is there…

A: Let X= score  Given, X follows normal distribution with mean = 86 and standard deviation = 4

Q: A set of data is normally distributed with a mean of 327 and a standard deviation of 27. What…

A: Given that, μ=327σ=27X=357 The value of z-score is,

Q: Suppose you received a score of 95 out of 100on exam 11 . The mean was 79and the standard deviation…

A:

Q: Suppose the exam average in a class is 55% with a standard deviation of 4. What proportion of…

A: The random variable score follows normal distribution. The population mean is 55.         The…

Q: A recent survey found that 69% of all adults over 50 wear glasses for driving . In a random sample…

A: From the provided information, 69% of all adults over 50 wear glasses for driving that is p = 0.69…

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

A:

Q: For a normal distribution curve with the mean of 15 and a standard deviation of 5, which range of…

A:

Q: Some numbers are not normally distributed. If the mean of the numbers is 38 and the standard…

A: Given: Population mean μ=38 Population standard deviation σ=6 Let X ~ N (38, 62)

Q: A distribution of exam scores has a mean of μ= 80. If your score is X = 72, which  standard…

A:

Q: On an intelligence​ test, the mean number of raw items correct is 236 and the standard deviation is…

A: a) The IQ score have a mean 100 and standard deviation of 15. The z score corresponds to IQ score…

Q: The mean of small dogs is 4.1 and the standard deviation is .9, what is the probability of choosing…

A: The weight of the small dogs is the continuous data. Let X be the weights of the small dogs which…

Q: The mean of 7 consecutive integers is 10. What is the standard deviation?

A:

Q: The mean of the test is 89 with a standard deviation of only 4. How likely (what probability) is…

A: Consider,Mean (µ) = 89Standard deviation (σ) = 4

Q: imagine the average score on an exam is 71 with a standard deviation of 10. If scores are normally…

A: If a random variable x has a distribution with mean µ and standard deviation σ, then the z-score is…