Question

1. Students took four different lengths of tests. The tests consisted of either 10, 15, 20, or 25 four-choice multiple-choice items. The teacher would like to give as many items as possible without taking up too much of the class period. A longer test will take more class time. Which test should the teacher pick, to have the most items on the test during the available class time?

Number of test items                                                              

            10                    15                    20                    25

                       

            13                    17                    18                    16

            10                    5                      17                    21

            13                    13                    10                    28

            5                      14                    23                    32

            6                      11                    23                    24

            6                      12                    17                    12

            2                      3                      10                    9

            12                    16                    27                    18

            17                    18                    21                    18

            12                    8                      24                    9

            12                    14                    23                    5

            2                      7                      8                      15

            17                    13                    14                    10

            3                      16                    1                      7                     

            7                      14                    8                      30

            1                      18                    10                    5

Independent variable/s:

Levels of independent variable/s:

Dependent variable/s:

Test to use:

Which test do you think the teacher should pick?:

Value of Your test statistic:

p-value from test:

Please show all steps with answers so I can learn the process and understand where numbers came from. Thanks!

Answer 1

Independent variable/s: Number of Test Items

Levels of independent variable/s: 10,15,20,25

Dependent variable/s: Time taken for each test

Test to use: One Sample test

Which test do you think the teacher should pick?:

       One-Sample Statistics
N Mean   Std. Deviation   Std. Error Mean
Multiple_10   16   8.63   5.303 1.326
Multiple_15   16   12.44   4.560 1.140
Multiple_20   16   15.88   7.429   1.857
Multiple_25   16   16.19 8.818 2.205

As te teacher wants maximum numbers to be answered in a given period, the mean time taken for 25 choice Qn is 16 min.So the teacher would choose this.

Value of Your test statistic:

One-Sample Test
	Test Value = 0.05
		95% Confidence Interval of the Difference
	t	df	Sig. (2-tailed)	Mean Difference	Lower	Upper
Multiple_10	6.469	15	.000	8.575	5.75	11.40
Multiple_15	10.866	15	.000	12.388	9.96	14.82
Multiple_20	8.521	15	.000	15.825	11.87	19.78
Multiple_25	7.320	15	.000	16.138	11.44	20.84

p-value from test:

0.000