In kurtosis, the bell shaped distribution called mesokurtic if the frequency looks more peaked than normal. True or false?

Q: can you briefly help me explained what happened in this Theorem? I already know that the…

A: Given information: T is set of 20 means calculated from finding samples of size 20 from the larger…

Q: first four moments of distribution about the value 5 of the 10 and 15. Describe the nature of…

A:

Q: The area of the rectangle depicting a uniform distribution is always equal to the mean of the…

A: The area of rectangle depicting a uniform distribution is not always mean of the distribution.

Q: The concept of the "center" of the distribution is unique for symmetric distributions. Why might you…

A: The common center measures are mean, median, and mode. Mean can be used when the data is…

Q: What proportion of a normal distribution is located between z = 0 and z = +1.50?

A: Given that.   X~N( 0 , 1 )   μ=0  , ?=1 (for standard normal distribution)    Z-score =( x - μ )/?

Q: Differentiate between binomial, Hypergeometric distribution by giving real life example.

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Q: The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year…

A: Given information: μ=3.28σ=0.19

Q: where the student t-distribution gragh is having more area than the area covered by normal…

A: Fromm the given information, The t-distribution is less concentrated around its peak on the other…

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: he mean of a normal distribution corresponds to a z-score of 1.    True  False

A: A z-score is a standardized value. Its distribution is the standard normal, Z ~ N(0, 1).

Q: Afx is a normal distribution variable, then, the moment generating function is eloT2)

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Q: Derive variance for gamma distribution?

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Q: Researchers wanted to determine if carpeted rooms contained more bacteria than uncarpeted rooms. To…

A: *Answer:  vs   Carpeted Rooms Uncarpeted Rooms Sample mean 11.2 9.8125 Sample standard…

Q: When we standardize using​ Z-scores, the shape of the distribution changes.   True…

A: Changing the values in z-scores does not change the shape of distribution. Clearly if values are…

Q: A vertical line is drawn through a normal distribution at z = 0.80. What proportion of the…

A: The standard normal distribution: A continuous random variable Z is said to follow standard normal…

Q: A vertical line drawn through a normal distribution at z = -0.72 separates the distribution into two…

A: Given :  A vertical line drawn through a normal distribution at z = -0.72 separates the distribution…

Q: For a normal distribution, find the z-score that cuts off the bottom 89.06% of all the z-scores.…

A: Given the distribution is normal.

Q: In a normal distribution, a data value located 1.4 standard deviations below the mean has Standard…

A: Z-Score:             It is a dimensionless quantity that is used to indicate the signed, fractional,…

Q: True or false: As the degrees of freedom decrease, the Student's tdistribution becomes more like the…

A: As the degrees of freedom decrease, the student's t-distribution becomes more like tends to the…

Q: a. Reflect how normal distribution will be useful in your field? Give an application related to…

A: Normal distribution is one of the very important tools used in statistics. It helps to determine…

Q: The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year…

A: From the provided information, Population mean (µ) = 3.30 Standard deviation (σ) = 0.21 X~N (3.30,…

Q: that has a sharper-rising center peak than the peak of a normal is called and has a kurtosis. A…

A: Kurtosis measures how heavy the tails of the distribution are.

Q: For a normal distribution, identify the z-score location that would seperate the distribution into…

A: Z- Score is the standardized value that provides the exact location of the values of X in the normal…

Q: A vertical line drawn through a normal distribution at z = -1.30 will separate the distribution into…

A:

Q: The hypergeometric distribution is used for situations when sample observations are replaced in the…

A: False

Q: Describe Simple Discrete Distributions?

A: The outcome of an set of data are distributed in two forms. They are continuous distribution and…

Q: Explain kurtosis of the distribution?

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Q: Compared to the z distribution, the t distribution has a shorter peak and fatter tails. In the t…

A: Z-distribution vs t-distribution

Q: A verticle line is drawn through a normal distribution at z=.80. What proportion of the distribution…

A: The standard normal distribution:A continuous random variable Z is said to follow standard normal…

Q: The normal distribution is ____.​   a. ​skewed to the right   b. ​symmetric   c. ​asymmetric   d.…

A: The mean, median and mode of the normal distribution is coincide.

Q: The distribution of the variance (Chi-Square distribution) becomes more like a normal distribution…

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Q: Find the mean deviation of Poisson distribution.

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Q: In a normal distribution, a data value located 1.1 standard deviations below the mean has Standard…

A: Z score gives the value of number of standard deviations from the mean

Q: show how to derive the formulas of mean and variance of a normal distribution (parametric families…

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Q: For a normal distribution, find the z-score that cuts off the bottom 85.76% of all the z-scores.…

A: I have Provided this answer in Step-2.

Q: I. Determine whether Symmetric or Asymmetric Distribution.

A: Here for symmetric distribution  Mean = Median = mode

Q: Explain the relationship between f-distribution and chi-square distribution.

A: Solution Given To explain the relationship between f-distribution and chi-square distribution.

Q: How does the t distribution differ from the Z distribution?

A: The t distribution and Z distribution are both symmetric distribution about their means.

Q: What is left skewed distribution

A: Here we have to define What is left skewed distribution.

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: Researchers wanted to determine if carpeted rooms contained more bacteria than uncarpeted rooms. To…

A: From the given information, n1=8=n2=8 df=n1-1=n2-1=8-1=7 Let the level of significance as 0.05 Given…

Q: The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year…

A:

Q: Can you change any normal distribution into a standard normal distribution?

A: Normal distribution : symmetric about mean.  Mean = median = mode Standard normal distribution :…

Q: The elongation of a steel bar under a particular load has been established to be normally…

A: The formulae for z-score is given by                                     z = X-μσ where μ is the…

Q: Give two reasons why the use of smooth curves to describe shapes of distributions is helpful.

A: Reasons for using the smooth curves on priority:In order to identify, the shape of the distribution…

Q: The area under a curve is 1.2. Is this a normal distribution? Provide a short explanation for your…

A: We know that the In probability distribution theory, the area is nothing but the probability value…