Final answer:
The t distribution is taller and thinner (more concentrated around the mean) than the z distribution.
The Correct Option is; a. True
Step-by-step explanation:
True. The t distribution is taller and thinner (more concentrated around the mean) than the z distribution. This is because the t distribution has fatter tails, meaning it has more probability in its tails and less probability near the mean. On the other hand, the z distribution has thinner tails and more probability near the mean.
The statement is true. The t-distribution is generally taller and has more probability mass in the tails compared to the standard normal distribution (z-distribution).
The exact shape of the t-distribution depends on the degrees of freedom, and as the degrees of freedom increase, the t-distribution approaches the standard normal distribution. However, for smaller sample sizes, the t-distribution is more spread out and has heavier tails than the z-distribution.