Question 1 point
A researcher is testing reaction times between the dominant and non-dominant hand. They
randomly start with each hand for 20 subjects and their reaction times in milliseconds are
recorded. Test to see if the reaction time is faster for the dominant hand using a 5% level of
significance. The hypotheses are:
H0 : μD = 0
H1 : μD >
0
t-Test: Paired Two Sample for Means
Non-
Dominant
Dominant
Mean 63.33 56.28
218.96431 128.75221
Variance
58 05
Observations 20 20
Pearson Correlation 0.9067
Hypothesized Mean
0
Difference
df 19
t Stat 4.7951
P(T<=t) one-tail 0.0001
t Critical one-tail 1.7291
P(T<=t) two-tail 0.0001
, t Critical two-tail 2.0930
What is the correct decision?
Accept H0
Reject H1
Do not reject H0
Accept H1
Reject H0
View Feedback
Question 2 point
A manager wishes to see if the time (in minutes) it takes for their workers to complete a
certain task is faster if they are wearing earbuds. A random sample of 20 workers' times were
collected before and after wearing earbuds. Test the claim that the time to complete the task
will be faster, i.e. meaning has production increased, at a significance level of α = 0.01
For the context of this problem, μD = μbefore−μafter where the first data set represents before
earbuds and the second data set represents the after earbuds. Assume the population is
normally distributed. The hypotheses are:
H0: μD = 0
H1: μD > 0
You obtain the following sample data:
Before After
68 62.3
72.5 61.6
39.3 21.4
67.7 60.4
38.3 47.9
A researcher is testing reaction times between the dominant and non-dominant hand. They
randomly start with each hand for 20 subjects and their reaction times in milliseconds are
recorded. Test to see if the reaction time is faster for the dominant hand using a 5% level of
significance. The hypotheses are:
H0 : μD = 0
H1 : μD >
0
t-Test: Paired Two Sample for Means
Non-
Dominant
Dominant
Mean 63.33 56.28
218.96431 128.75221
Variance
58 05
Observations 20 20
Pearson Correlation 0.9067
Hypothesized Mean
0
Difference
df 19
t Stat 4.7951
P(T<=t) one-tail 0.0001
t Critical one-tail 1.7291
P(T<=t) two-tail 0.0001
, t Critical two-tail 2.0930
What is the correct decision?
Accept H0
Reject H1
Do not reject H0
Accept H1
Reject H0
View Feedback
Question 2 point
A manager wishes to see if the time (in minutes) it takes for their workers to complete a
certain task is faster if they are wearing earbuds. A random sample of 20 workers' times were
collected before and after wearing earbuds. Test the claim that the time to complete the task
will be faster, i.e. meaning has production increased, at a significance level of α = 0.01
For the context of this problem, μD = μbefore−μafter where the first data set represents before
earbuds and the second data set represents the after earbuds. Assume the population is
normally distributed. The hypotheses are:
H0: μD = 0
H1: μD > 0
You obtain the following sample data:
Before After
68 62.3
72.5 61.6
39.3 21.4
67.7 60.4
38.3 47.9
