Comparing the "z with s" and the "t" figures, describe the difference between the two figures using the z distribution and the two figures using the t distribution. Please explain why they are different. In your response, be sure to indicate which option in the applet is causing the difference.

The center of each interval is the same. The widths of the intervals are larger using the t distribution than the z distribution with s. This is caused by the fact that the critical value for z, zα/2, is less than the critical value for t, tα/2,n-1.

The center of both the distribution are similar. However the range of the t distribution  is larger than that of the z-distribution.

Explanation:

The center of both the distribution are similar. However the range of the t distribution  is larger than that of the z-distribution.

This is because the critical values of z and zα/2 are less than that of  t and tα/2 by the value of n-1.

Thus the main effect is by the number of samples, For 1 sample the value of t and z is same.

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