A famous nonverbal communication scholar believes that anxiety is an important variable in nonverbal behavior. On the basis of the assumption that anxious people have more energy than those who are calm, he hypothesizes that anxious people gesture more often while they talk than do calm people. He tests this hypothesis by randomly selecting five anxious people and five calm people (measured on a valid and reliable scale) from a university class. He tells each research participant to bring a friend to a laboratory where he videotapes 20 minutes of their conversation. He then counts the average number of gestures per minute made by each research participant. He obtains the following scores: Anxious People 4 Calm People 7 Set up the appropriate statistical test and make a decision. 3 4 3 6 5 9 5 9

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A famous nonverbal communication scholar believes that anxiety is an important
variable in nonverbal behavior. On the basis of the assumption that anxious
people have more energy than those who are calm, he hypothesizes that anxious
people gesture more often while they talk than do calm people. He tests this
hypothesis by randomly selecting five anxious people and five calm people
(measured on a valid and reliable scale) from a university class. He tells each
research participant to bring a friend to a laboratory where he videotapes 20
minutes of their conversation. He then counts the average number of gestures
per minute made by each research participant. He obtains the following scores:
3
4
Anxious People
4
Calm People
7
Set up the appropriate statistical test and make a decision.
3
6
5
9
59
Transcribed Image Text:A famous nonverbal communication scholar believes that anxiety is an important variable in nonverbal behavior. On the basis of the assumption that anxious people have more energy than those who are calm, he hypothesizes that anxious people gesture more often while they talk than do calm people. He tests this hypothesis by randomly selecting five anxious people and five calm people (measured on a valid and reliable scale) from a university class. He tells each research participant to bring a friend to a laboratory where he videotapes 20 minutes of their conversation. He then counts the average number of gestures per minute made by each research participant. He obtains the following scores: 3 4 Anxious People 4 Calm People 7 Set up the appropriate statistical test and make a decision. 3 6 5 9 59
Solution
1.
Ho: The average life span today is not greater than 72 years.
Ha: The average life span today is greater than 72 years.
0.05
2.
3. t-test (one-tailed)
4. df=n-1
df=100-1=99
t₁ = 1.66 Tabular value
5. Computation using the formula for sample mean compared with population mean
tc =
Substitute the given values in the formula
tc
(x-μ)√n
S
=
F = 69
= 72
μ
n = 100
S = 8.9
NOW
(69-72)√/100
8.9
tc = -3.37
6. Decision: Since t computed value of -3.37 is less than tabular value of 1.66.
Therefore, we reject our null hypothesis (Ho).
7. Formulate conclusion: The average life span today is greater than 72 years.
Transcribed Image Text:Solution 1. Ho: The average life span today is not greater than 72 years. Ha: The average life span today is greater than 72 years. 0.05 2. 3. t-test (one-tailed) 4. df=n-1 df=100-1=99 t₁ = 1.66 Tabular value 5. Computation using the formula for sample mean compared with population mean tc = Substitute the given values in the formula tc (x-μ)√n S = F = 69 = 72 μ n = 100 S = 8.9 NOW (69-72)√/100 8.9 tc = -3.37 6. Decision: Since t computed value of -3.37 is less than tabular value of 1.66. Therefore, we reject our null hypothesis (Ho). 7. Formulate conclusion: The average life span today is greater than 72 years.
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