Question

The following data are the response times in seconds for n-25 first graders to arrange three objects by size 5.2 3.7 5.5 4.0 3.5 4.0 4.0 4.5 4.7 4.5 3.2 2.3 2.8 4.4 4.8 3.7 3.9 4.6 5.3 4.1 4.9 3.1 4.3 4.0 5.4 (a) Find the mean and the standard deviation for these 25 response times. (Round your standard deviation to three decimal places.) mean standard deviation sec sec (b) Order the data from smallest to largest. (Enter your answers as a comma-separated list.) (c) Find the z-scores for the smallest and largest response times. (Round your answers to two decimal places.) smallest largest Is there any reason to believe that these times are unusually large or small? Explain. Since both z-scores are greater than 3 in absolute value, the measurements are judged to be unusual ● Since the z-score of the smallest value is greater than 3 in absolute value, the smallest value is unusually small. The largest value is not unusual Since neither of the z-scores are greater than 3 in absolute value, the measurements are not judged to be unusually large or small. ● Since the z-score of the largest value is greater than 3 in absolute value, the largest value is unusually large. The smallest value is not unusual

Answer 1

X	z-score
2.3	-2.308923077
2.8	-1.693538462
3.1	-1.324307692
3.2	-1.201230769
3.5	-0.832
3.7	-0.585846154
3.7	-0.585846154
3.9	-0.339692308
4	-0.216615385
4	-0.216615385
4	-0.216615385
4	-0.216615385
4.1	-0.093538462
4.3	0.152615385
4.4	0.275692308
4.5	0.398769231
4.5	0.398769231
4.6	0.521846154
4.7	0.644923077
4.8	0.768
4.9	0.891076923
5.2	1.260307692
5.3	1.383384615
5.4	1.506461538
5.5	1.629538462