The t-distribution and the standard normal distribution diverge(become very different) as the degree of freedom become very large( that is,approach infinity).
true or false
Ans : False
( The t-distribution and the standard normal distribution converge(become very different) as the degree of freedom become very large( that is,approach infinity).
The t-distribution and the standard normal distribution diverge(become very different) as the degree of freedom become...
1) The t-distribution converges to the standard normal distribution as degrees of freedom increase. True or False? 2) What do we call the hypothesis that is accepted by default unless the contradictory evidence in overwhelmingly convincing?
Which of the statements below is true about a T-distribution? Any T-distribution is very different in shape to the standard normal distribution All of these answeres. None of these answers. Any T distribution is similar in shape to the standard normal distribution Any T-distribution has less variation than the standard normal distribution Any T-distribution is a left skewed distribution
Below are the graphs of a standard Normal distribution and a t-distribution with 3 degrees of freedom 1. (a) Indicated which graph is which and explain how you know. Dotted graph- standord Normet Solid graph +distmbuton with d3 4 3 -2 1 2 4 (b) On the same figure sketch a graph of a t-distribution with 1 degree of freedom.
T or F? The student's-t distribution tends toward the Normal distribution with large degrees of freedom.
Which of the following statements is true? The t-distribution with 1 degree of freedom is equivalent to the standard normal distribution. When division by a factor of n-1 is used, the sample variance s2 is an unbiased estimator of the population variance σ2. If a hypothesis test is conducted at the 5% significance level, then a p-value of 0.087 would lead the researcher to reject H0. A 99% z-based confidence interval of the population mean μ based on a sample...
Briefly explain what happens to the shape of the t-distribution as the degrees of freedom approach infinity.
True/false With infinite degrees of freedom the t distribution is identical in shape to the unit normal z distribution.
QUESTION 5 Which statement concerning the t-distribution is false? O AT follows a standard normal distribution OB. The smaller the degrees of freedom the flatter the curve. OC. The t-distribution has a larger standard deviation than the Standard Normal Curve. OD. T-distributions have a mean of 0. o E. The total area under the density curve depends on the degrees of freedom. QUESTION 6 The t-procedures are robust when A. sample size is 12 and the sample data is not...
A normal distribution is approximated as a Student t distribution when the population standard deviation is unknown. Select one: True on O False
Prove that if random variable X follows a standard normal distribution (with mean u= 0 and standard deviation o = 1), then Y = X2 follows a chi-square distribution with 1 degree of freedom. In particular, show that My(t) = Mx2(t) = E[etX?), which equals the moment generating function of a chi-square distribution with 1 degree of freedom.