Question

Generally, the average typing speed is 56 words per minute (wp). A professor wanted to see...

Generally, the average typing speed is 56 words per minute (wp). A professor wanted to see where his students stand compared to the population. He tested 24 of his students and obtained the following estimates: an average typing speed of 58 with a variance of 361.00. What can the professor conclude with α = 0.01?

a) What is the appropriate test statistic?
---Select--- na z-test One-Sample t-test Independent-Samples t-test Related-Samples t-test
Also state population and sample from choices below
Population:
---Select--- student typing speed the professor the students average typing speed typing speed
Sample:
---Select--- student typing speed the professor the students average typing speed typing speed

b) Compute the appropriate test statistic(s) to make a decision about H0.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

c) If appropriate, compute the CI. If not appropriate, input "na" for both spaces below.
[  ,  ]

D Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.
Find d =  ;   ---Select--- na trivial effect small effect medium effect large effect
Find r2 =  ;   ---Select--- na trivial effect small effect medium effect large effect

Make an interpretation based on the results.

A. Student typing speed is significantly higher than average.

B . Student typing speed is significantly lower than average.    

C.Student typing speed did not significantly differ from the average.

Homework Answers

Answer #1
2-tailed t-test
mean 58
sd 19
n 24
alpha 0.01
mu 56
a) one sample t-test
population average typing speed
sample typing speed of students
b)
critical 2.8073
TS 0.5157
decision fail to reject
c)
lower -8.8879
upper 12.8879
d)
d 0.1053 trivial
r^2 0.0114 small
interpretation option C)

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