The Drop downs are (A,B)( Larger, Smaller) and (skewed in one direction or appro

Question

The Drop downs are (A,B)( Larger, Smaller) and (skewed in one direction or approximately normal)

Drop down is parameter or statistic.

One histogram shows the distribution of the length of a certain person's cell phone l Which is which? Explain. calls for one month, and the other shows many sample means in which each is the mean length for 8 randomly selected calls from the same person during that The distribution of the length of this person's cell phone calls for the month is month. Which is which? Explain. shown in Histogram because this distribution has a standard Histogram A deviation, and is 60- The distribution of many sample means for randomly selected calls from the 45- same person during the month is shown in Histogram because this distribution has a standard deviation, and is 6 9 12 15 18 Minutes Histogram B 60- 45- 3 6 9 12 15 18 Minutes

Explanation / Answer

Histogram B shows the distribution of the lengths of a certain person's cell phone calls for one month, because it's obvious that shorter length calls will have higher frequency and longer length calls will have small frequency

Hence Histogram B, larger standard deviation , skewed in one direction for the first three drop downs.

From the central limiting theorem we know that the distribution of means has approximately normal distribution so Histogram A, gives the distribution of sample means for randomly selected calls from the same person during the month.

The histogram A looks like a normal distribution so has smaller standard deviation .

Thus for last three drop downs we have

Histograme A, smaller, Approximately normal

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