stat

Which of the following statements is true about the t-distribution with k degrees of freedom?
i. the t-distribution is symmetric

ii. the t-distribution with k degrees of freedom has a smaller variance than the t-distribution with k+1 degrees of freedom

iii. the t-distribution has a larger variance than the standard normal (z) distribution

any one, or all three could be right but i don't know which ones are

The first and third are true. The t-distribution is symmetrical; the distribution is lower and the tails are wider than the normal distribution. I think the second one should be k-1 to make the statement true, but check my thinking on that one.

I hope this will help.

  1. 👍 2
  2. 👎 0
  3. 👁 3,217
  1. you're right

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math T-Distribution

    Which of the following is not a characteristic of Students' t distribution? A) For large samples, the t and z distributions are nearly equivalent. B) depends on degrees of freedom. C) symmetric distribution D) mean of 1

  2. Social Studies

    What freedom did Chandragupta’s subjects lack? A. freedom to earn a living B. freedom to travel to different provinces C. freedom of speech D. freedom to worship as they pleased

  3. Social Studies

    Someone please help me! Which of the following was a result of communism in the Soviet Union? A. The free market controlled the economy. B. Citizens enjoyed freedom of speech. C. Elections were free and fair. D. Farms were

  4. Math

    Let x represent the number which shows up when a balanced die is rolled. Then x is a random variable with a uniform distribution. Let x-bar denote the mean of the numbers obtained when the die is rolled 32 times. For samples of

  1. statistics

    Lorraine was in a hurry when she computed a confidence interval for μ. Because σ was not known, she used a Student's t distribution. However, she accidentally used degrees of freedom n instead of n - 1. Will her confidence

  2. math-test statistic

    If we have a sample of 12 drawn from a normal population, then we would use as our test statistic A) z0 with 11 degrees of freedom B) t0 with 12 degrees of freedom C) z0 with 12 degrees of freedom D) t0 with 11 degrees of freedom

  3. Calculus

    Which one or ones of the following statements is/are true? I. If the line y=2 is a horizontal asymptote of y= f(x), then is not defined at y=2. II. If f(5)>0 and f(6)

  4. Math

    Which of the following is not a characteristic of Students' t distribution? A) For large samples, the t and z distributions are nearly equivalent. B) depends on degrees of freedom. C) symmetric distribution D) mean of 1

  1. statistics (4)

    For a t distribution with 16 degrees of freedom, find the area, or probability, in each region. a. To the right of 2.120. (Use 3 decimals.)

  2. Social Studies

    Which of the following was a result of communism in the Soviet Union? A. The free market controlled the economy.+ B. Citizens enjoyed freedom of speech. C. Elections were free and fair. D. Farms were collectivized by the

  3. Calculus

    If f is a continuous function with even symmetry and lim x→∞ f(x)=10, which of the following statements must be true? I. lim x→∞ f(x)=10 II. there are no vertical asymptotes III. The lines y=10 and y= -10 are horizontal

  4. Statistics

    Suppose I am using the t-distribution to estimate or test the mean of a sample from a single population. If the sample size is 25, then the degrees of freedom are ____? I have an answer of 26 is this correct

You can view more similar questions or ask a new question.