Do the width and/or height of a normal distribution change when its standard deviation remains the same but its mean decreases? The width of a normal distribution curve decreases and its height remains the same v when its standard deviation remains the same but its mean decreases.

Q: Find the mean deviation about median

A: Here given frequency distribution of height

Q: An economics professor decides to curve the grades of his class. In doing so, he decides to make it…

A: Given data: An economics professor decides to curve the grades of his class. In doing so, he decides…

Q: As the standard deviation of a normal distribution increases, the height of the normal curve

A: Standard deviation is the measure of the amount of dispersion of a set of values.  A low standard…

Q: Assume that a normal distribution of data has a mean of 14 and a standard deviation of 2. Use the…

A: The mean of the distribution is 14. The standard deviation of the distribution is 2.

Q: In a normal distribution approximately what percent of data items fall within 1Standard deviation of…

A: Data fall within one standard deviation

Q: Suppose that the annual rainfall in Ferndale, California, is known to be normally distributed, with…

A: Given, Mean, μ = 35.5 Standard deviation, σ = 2.5 We have to find the probability that the rainfall…

Q: It is known that people in the USA spend on average 15 hours a day using electronic devices with a…

A: Since you have posted multiple different questions, as per our guidelines, we have provided answer…

Q: Assume that a normal distribution of data has a mean of 12 and a standard deviation of 3. Use the…

A:

Q: Suppose the daily number of parking tickets issued on campus has a mean of 1.4 tickets and a…

A: Given information- We have given the daily number of parking tickets issued on campus. Mean = 1.4…

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: A normal distribution has a mean of 100 and a standard deviation of 15. What is the median for this…

A: Given Mean μ=100, standard deviations σ=15

Q: As the sample size​ increases, the standard deviation of the sampling distribution ▼   gets larger.…

A: Here we need to find the change that happens for the standard deviation of the sampling distribution

Q: Assume that a normal distribution of data has a mean of 12 and a standard deviation of 3. Use the…

A: Given:Mean = 12Standard deviation = 3We have to find the probability that a value lies above 15.

Q: The lifetime of a 2‑volt non‑rechargeable battery in constant use has a Normal distribution, with a…

A: It is known that X is the lifetime of a 2‑volt non‑rechargeable battery with mean 516 hours and a…

Q: The standard deviation of the certain distribution is 9, what is its variance?

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: Which graph shows a normal distribution of student heights with a mean of 170 cm and a standard…

A: Normal Curve :The following are the normal curve properties The normal curve is bell shaped with…

Q: A study has shown that 15% of all college textbooks have a price of $178.52 or higher.  It is known…

A: From the provided information Standard deviation (σ) = $32.55 Let X be a random variable which…

Q: In which distribution shape does the Standard Deviation Rule apply?

A:

Q: What does the variance of a random variable measure? What is the standard deviation of a continuous…

A: Variance of a random variable measures how far a set of (random) numbers are spread out from their…

Q: In 2019, the amount of money that motorists spent on gas had a normal distribution with a mean of…

A: Given Information Number of persons sampled (n) = 2400 Mean (µ) = 900 Standard deviation(σ) = 100…

Q: Is it possible to obtain a negative value for the variance or standard deviation?

A: The variance and the standard deviation, which is the square root of the variance are the most…

Q: What proportion of the students scored lower than 80 if the distribution of these grades can be…

A:

Q: the time it takes a student to complete the statistics exam follows a normal distribution with a…

A:

Q: Find the mean deviation about mean of rectangular distribution,

A:

Q: Peter collected data to find that the finishing times for cyclists in a race has a normal…

A: 68-95-99.7-rule: Let X be an observation from a normal distribution, having mean µ and standard…

Q: Assume that the hourly cost to operate a commercial airplane follows the normal distribution with a…

A: Consider X be a random variable which follows normal distribution indicates the operating cost of a…

Q: A normal distribution has a mean of 82 and a standard deviation of 3. Find the z-score for a data

A:

Q: The lifetime of a 2‑volt non‑rechargeable battery in constant use has a Normal distribution, with a…

A: It is known that X is the lifetime of a 2‑volt non‑rechargeable battery with mean 516 hours and a…

Q: A bank loan officer rates applicants for credit. The ratings can be described by a normal model with…

A: Given: μ = ​200 σ = 50

Q: In a normal distribution, approximately what percent of data items fall within 1 standard deviation…

A: Empirical rules:1) P(μ-σ<X<μ+σ)=68%2) P(μ-2σ<X<μ+2σ)=95%3)P(μ-3σ<X<μ+3σ)=99.7%

Q: Why is it that the “COVID curve” cannot be considered as a normal distribution?

A: COVID Curve cannot be considered as a normal distribution due to the following reasons:

Q: In a normal distribution, what percentage of the population lies with-in 1 standard deviation of the…

A: In a normal distribution, there are predefined percentage of the population which lies in 1 standard…

Q: The playing life of a Sunshine radio has a Normal distribution with a mean of 600 hours and a…

A: The playing life of a radio is normally distributed with mean 600 hours and standard deviation of…

Q: On a test that has a normal distribution, a score of 60 falls one standard deviation above the mean,…

A: Given that the test score has Normally distributed.  A score of 60 falls one standard deviation…

Q: A normal-shaped distribution with μ = 40 and σ = 8 is transformed into z-scores. Describe the shape,…

A: Normal distribution has a curve with bell shape which is centred at the mean of the distribution.…

Q: Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(xs 53)?

A:

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: What relation exists between the average deviation of the mean?

A: Note: Hi there! Thank you for posting the question. As your question is not clear, as per the…

Q: The distribution of the number of viewers for the American Idol television show follows a normal…

A:

Q: Find the mean deviation of Poisson distribution.

A:

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: In a normal distribution with a mean of 72 and a standard deviation of 12, what percentage of cases…

A: GivenMean(μ)=72standard deviation(σ)=12

Q: a) A study has shown that 25% of all college textbooks have a price of RM 200 or higher. It is known…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

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: When the correlation between x and y is –1.0, what will the standard deviation of errors be? Why is…

A: * ANSWER :-  Based on the above information the answer is  as follows

Q: A normal distribution has a mean μ = 500 and standard deviation σ = 35. Approximately what percent…

A: GivenMean(μ)=500standard deviation(σ)=35

Q: Suppose that the mean IQ score for University Students is 105, with a standard deviation of 7.…

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

Q: Among third year students at AUM, scores in Probability and Statistics follow a normal distribution…

A: Given: Population mean  = 82 Population standard deviation = 4 Consider X be the random variable…

Q: The quality-grade point averages of 300 college freshmen follow approximately a normal distribution…

A: Given : Population Size (N) =300 The quality-grade point averages of 300 college freshmen follow…