Does T-distribution have asymptotic tails?

Q: The lead time (in days) for orders of a certain component from a manufacturer can be assumed to have…

A: Given that  Let X denotes the lead time  Mean =1 and variance =1  X follows gamma distribution with…

Q: The number X of insect larvæfound on a cm² on a petri plate is assumed to follow a Poisson…

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Q: The average age at which adolescent girls reach their adult height is 16 years. Suppose you have a…

A: Given Information: Hypothesized value of population mean is μ0=16 Sample size n=29  Sample mean…

Q: Find the moment generating function of normal distribution and obtain the first four moments about…

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Q: find out the mean profits:

A: We have to calculate the mean for given grouped frequency distribution of profits per shop.

Q: what are the parameter values of the lognormal distribution.

A: Given, Mean = 120.87 Coefficient of variation = 9% X~lognormal(μ,σ2)

Q: Show that the t-distribution with r = 1 degree of freedom and the Cauchydistribution are the same.

A: We have to prove that the t distribution with r=1 degree of freedom and the Cauchy distribution are…

Q: Compute for the most appropriate measure of central tendency.

A: Solution-: Given data: 2,2,4,1,4,4,2,3,1,3,3,1,2,4,3,3,2,1,3,2 Compute for the most appropriate…

Q: Determine moment generation function of the Exponential distribution.

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Q: a) What is the marginal distribution of Z2.

A: Here use given joint distribution function of z1 and z2

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: Compute the Pearson and Spearman Rank correlations for uniformly drawn samples of points (x; xk).…

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Q: Determine the geometric mean diameter and geometric standard deviation of the lognormal distribution…

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Q: Define moment generating function for binomial distribution.

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Q: Define Fundamentals of Asymptotic Distribution Theory?

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Q: expected

A: Here given,  An Insurance company sells a 1-year term life insurance policy to an 76-year-old woman.…

Q: What is the t-value of a one-tailed t-distribution with ∝ =2.5% ??? df=22?

A: Given : level of significance( ∝) =2.5% = 0.025 degree of freedom(d.f) =n-1= 22 We can find t-value…

Q: Investigate and explain about t- distribution and then provide 2 examples and solve it by using the…

A: A probability distribution for a particular random variable is function of values that maps the…

Q: A Poisson distribution with mean 1.5 represents demand in a single period. A Poissondistribution…

A: Given: A Poisson distribution with mean 1.5 represents demand in a single period.

Q: Suppose that a loss follows log-normal distribution with the parameters μ=3μ=3 and σ=2σ=2. Find the…

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Q: Illustrate Asymptotic Distribution of the OLS Estimator and t-Statistic?

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Q: How do we identify an F -distribution and its corresponding F-curve?

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Q: suppose the income of workers at your job follows a normal distribution. if you standardisize their…

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Q: area to right of 2.821 under a t-distribution with 9 degrees of freedom

A: Given data: t = 2.821 Degree of freedom  =9 To find the area to the right.

Q: 23. Fit a strai ht line trend to the followin data b the method of least res •.

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Q: Prediction intervals are not sensitive to the normality assumption because Xm+1 is a future…

A: Here we want to know given statement is true or not.

Q: show that negative binomial distribution with the following pdf belongs to the exponential family

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Q: Draw a smooth curve that represents a symmetric trimodal (three-peak) distribution.

A: Justification:Symmetric distribution:When the left and right sides of the distribution are…

Q: Derive mean for gamma distribution?

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Q: aper. 1 What are the characteristics of a t-distribution? (Give at least 3 characteristics).

A: t-distribution: It is defined as the deviation of sample mean from its population mean expressed in…

Q: When do we use a mean and SD to define a continuous variable distribution?

A: Given information: For a continuous variable distribution with specified mean and standard…

Q: Assume that adults have IQ scores that are normally distributed with a mea separating the bottom 25%…

A: Let us consider the adults IQ score is denoted by X which is normally distributed i.e.…

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

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

Q: Find the mean deviation of Poisson distribution.

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Q: frontiner commutes daily from his home to work. The average time for a one-way trip is 35 minutes.,…

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Q: I. Determine whether Symmetric or Asymmetric Distribution.

A: Here for symmetric distribution  Mean = Median = mode

Q: Find the moment generating function about origin of the Poisson distribution.

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Q: Does the data need to be normally distributed for a t-test to work?

A: We have to explain that for t test data need to be be normally distributed or not

Q: Explain Functions of Normally and Log-normally Distributed Random Variables

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Q: Find Mode and Skewness of x2-distribution.

A: ANSWER: For the given data,

Q: ights during 29 randomly selected days in a recent year. The standard deviation for this sample is…

A: Given

Q: A directional hypothesis test has a critical region that consists of the extreme ends of both the…

A: Given that, A directional hypothesis test has a critical region that consists of the extreme ends of…

Q: 3. What is the area of the tail region of the t-distribution wl freedom that falls below the t-value…

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Q: Customers arrive to a local bakery with an average time between arrivals of5 minutes. However, there…

A: Given data,  The average time between the arrivals is 5 minutes  Exponential distribution with mean…

Q: The standard normal curve exhibits heavier tails versus the t-distribution curve  True  False

A: Let Z follows Std. Normal distribution i.e N(0, 1) And t follows t distribution.