Come up with your own data for a problem that you would have to find a p-value for a normal distribution. Clearly label your variables
Q: If you know that you have data that follows a normal distribution with a mean of 75 and standard…
A: Solution: Let X be the random variable. From the given information, X follows normal distribution…
Q: In an academic setting most discussions about a distribution of data typically begins with an…
A: True
Q: In a normal distribution, the ___________ focuses on 50% of the cases instead of the highest and…
A: Out of all probability distributions, the normal distribution is very popular and widely used for…
Q: From a normal distribution with μ = 80 and σ = 8, what proportion of the curve lies at X ≥ 90?
A:
Q: If the mean is zero and the standard deviation is one in a normal distribution, what type of normal…
A: We know that if the normal distribution has 2 parameters as mean, μ and standard deviation, σ, where…
Q: Dr. Samwell Tarly wants to estimate the number of books checked out of the library in the past year.…
A: It is given that the mean is 10,000 and the standard deviation is 10.
Q: From a normal distribution with μ = 80 and σ = 8, what proportion of the curve lies at X ≤ 72?
A: For a normal distribution, Mean = 80 Standard deviation = 8
Q: If the distribution of the data is normal, then…
A: A normal distribution is a common probability distribution. The normal distribution is a continuous…
Q: Why do t distribution tend to be flatter and more spread out than the normal distribution is?
A: t distribution is more spread out than the normal distribution
Q: Suppose someone was diagnosed with a form of cancer that had a median survival time of eight months.…
A: Introduction: The median of a data set is a value that divides the top half (or top 50%) of the data…
Q: 3. Why is a t-distribution generally more variable than a normal distribution?
A: The probability distributions that needs to be applied in the dataset depends on the…
Q: A professor gives a test worth 100 points. The mean is 95, and the standard deviation is 4. Is it…
A: Given data Mean = 95 STD dev = 4 X = 100
Q: Could the graph represent a variable with normal distribution? If so, what is the mean and what is…
A:
Q: Jesse is having a hard time understanding why when working with means, sometimes we use a Normal…
A: When t 0r normal distribution is used.
Q: Why do t distributions tend to be flatter and more spread out than the normal distribution is?
A: Formula for t score; Formula for z score; Here s shows the sample standard deviation, shows the…
Q: Based on this graph what was the approximate distribution of the averages? X~___(___,___)
A: Central limit theorem (CLT): According to CLT, for a given sufficiently large sample size from a…
Q: Jesse is having a hard time understanding why when working with means, sometimes we use a Normal…
A: Conditions for using normal distribution When population standard deviation σ is known and the…
Q: What is meant by saying that a variable has a chi-square distribution?
A: Chi-square distribution: If the distribution of the variable has a special type of right skewed…
Q: When finding the percentage of data in a given section of the normal curve, you are finding the…
A: here use basic of normal distribution
Q: When figuring probabilities for a normal distribution why is it necessary that we must convert to a…
A: For figuring out the probabilities for a normal distribution,whatever the parameters might be,we…
Q: What proportion of the scores in a normal distribution falls below z= -1.32?
A: Let X ~ N(0,1). Then, P(X<-1.32)=P(X>1.32) [ As X is symmetric about…
Q: Which of the following characteristics does not apply to a theoretical normal distribution? The…
A: Theoretical normal distribution is given.
Q: A normal distribution has a mean of 80 with a standard deviation of 20 what score separates the…
A: Let x be the score which follows normal distribution with mean 80 and standard deviation 20. The…
Q: Suppose you have a set of observations that follow a normal distribution with a mean μ and…
A: Solution-: Let, X= be the random variable Given: mean=μ,SD=σ We find, (a) P[X-μ<1.75σ]=? (b)…
Q: What proportion of a normal distribution is located between the mean and z = 1.40?
A: From the given information, Mean of standard normal distribution is zero and standard deviation is…
Q: how to know if something is a normal distribution or not
A: Introduction:Several tests of normality exist, using which you can verify whether a particular data…
Q: Find the 30th and 98th percentile values of a normal variable with Mean of 12 and Variance of 3 (if…
A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…
Q: If a set of observations is normally distributed, what percent of these differ from the mean by (a)…
A:
Q: For a normal distribution, the mean is equal to the median. True False
A: The Normal distribution is Symmetric distribution. So, Mean = Median = Mode.
Q: A professor gives a test worth 100 points. The mean is 94, and the standard deviation is 6. Is it…
A:
Q: What are the characteristics of a normal distribution? What two characteristics make a distribution…
A: Given that What are the characteristics of a normal distribution? What two characteristics make a…
Q: For a normal distribution, what z-score value separates the lowest 20% of the distribution from the…
A: The z-score value separates the lowest 20% of the distribution from the highest 80% is, PZ<z=0.20…
Q: In your own words, describe the difference between the z and t distribution and when we use one…
A: Ans: We perform one sample t- test when we want to compare a sample mean with the population mean.…
Q: If the mode of a normal distribution is 100 with variance equals 4, then the mean equals
A: Note: Normal distribution is symmetrical distribution. Hence, the mean, median and mode are all…
Q: A distribution has a mean of 75 and a median of 70. This distribution is probably positively skewed
A:
Q: Which is correct for a distribution that is skewed to the left?
A:
Q: What is the difference between a t-distrbution and a normal distribution in terms of their tails,…
A: Here difference betweenn t distribution and Normal distribution is asked
Q: If you draw a sample of 200 from a normal distribution and using the Empirical Rule; how many data…
A: Given dataSample size(n) = 200In normal distribution, as per empirical formulaApplying empirical…
Q: Which of the following histograms could be modeled by a normal distribution?
A: Given , The above graph is the right skewed. Therefore it is not the symmetric distribution. Hence…
Q: Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(xs 53)?
A:
Q: A variable is approximately normally distributed. If you draw a histogram of the distribution of the…
A: Justification:A variable is approximately normally distributed.If the variable is approximately…
Q: A normal distribution has a mean of µ = 80 with σ = 20. What score separates the highest 40% of the…
A: The given distribution is normal with mean 80 and standard deviation 20.
Q: Some people have the misconception that z-scoring "makes the data gaussian." Describe some data that…
A: A z-score is a standardized score which tells how far from the mean an observation lies. Z=X-μσwhere…
Q: Give an example of a distribution that might be non-normal.
A: Any skewed distribution would be the example of non-normal distribution, for example chi-square, or…
Q: Could this curve represent a normal distribution?
A:
Q: According to the Empirical Rule, in a Normal Distribution of data you will have
A: We know that Empirical rule : 68% data lies within one standard deviation of the Mean. ( μ ± σ) 95%…
Q: Derive the mean and variance of normal distribution. Show your complete solutions.
A: Solution:- Mean of normal distribution The Gaussian pdf is defined as fX(x)=1σ2πexp-(x-μ)22σ2 where…
Q: The mean of the distribution of sample means would be equal to:
A: The mean of the distribution of sample means would be equal to ?
Q: Suppose we have the short hand info on a Normal Distribution as N(10,25). What is the population…
A: Mean:Mean is a measure of center in case of quantitative data. Mean of a data set is the sum of the…
Q: IF THE VARIANCE OF A POPULATION IS 0.75, THE STANDARD DEVIATION MUST BE?
A: It is an important part of statistics . It is widely used .
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