Question

In: Statistics and Probability

Will students wait longer for the arrival of an instructor who is a full professor than...

  1. Will students wait longer for the arrival of an instructor who is a full professor than for one who is a graduate student? This question was investigated by counting how many minutes undergraduate students waited in two small seminar classes, one taught by a full professor and one taught by a graduate student. The data (in minutes) are as follows: Graduate Student Instructor: 9, 11, 14, 14, 16, 19, 37 Full Professor: 13, 15, 15, 16, 18, 23, 28, 31, 31

    1. Which statistical test is the appropriate test to perform?
    1. Use SPSS to conduct the analysis with a two-tailed test at .05.
    2. Present the statistical results in APA format, and interpret the outcome (i.e., if time does differ between the prof and grad student, why might this be and why is this important/significant?).

Solutions

Expert Solution

a) Since the two groups Graduate student instructor and Full professor are independent therefore we will use t test of independent.

b) NULL HYPOTHESIS

ALTERNATIVE HYPOTHESIS Ha:

ASSUMPTIONS:EQUAL VARIANCES ASSUMED SATISFIED (P VALUE =0.954>0.05)

t test statistic t= -0.958

degrees of freedom= 14

P value= 0.354

Since P value GREATER than the level of significance hence NOT SIGNIFICANT.

Decision: DO NOT REJECT NULL HYPOTHESIS H0.

c) From the above analysis we can conclude that we don't have sufficient evidence to show that students waiting times for the arrival of an instructor who is a full professor than for one who is a graduate student is not different at 0.05 level of significance.


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