Question

1a)

**A researcher used a sample of n =16 adults
between the ages of 40 and 45. For each person, the researcher
recorded the difference between the ratings obtained while smiling
and the rating obtained while frowning. On average the cartoons
were rated as funnier when the participants were smiling, with an
average difference of M_{D} = 1.6, with
SS = 135.**

**Are the cartoons rated as significantly funnier when the
participants are smiling ? Use a one-tailed test with α =
.05.**

**The null hypothesis in words is:**

Group of answer choices

a. There is no significant difference between the two conditions: smiling and frowning

b.There is a significant difference between the two conditions: smiling and frowning

c. The cartoons were not rated as significantly funnier when the participants were smiling than when the participants were frowning.

d. The cartoons were rated as significantly funnier when the participants were smiling than when the participants were frowning.

**1b. )**

**The alternative hypothesis in symbols is:**

Group of answer choices

a. H1: µ1= µ2

b. H1: µ1> µ2

c. H1: µD= 0

d. H1: µD≠ 0

e. H1: µD> 0

f. H1: MD = 1.6

g. H1: MD ≠ 1.6

h. H1: µD≤ 0

1c)

**The critical t-value is**

1d)

**The t-statistic is**

1e)

**Your decision is**

**Group of answer choices**

a. Reject the null hypothesis because the t-statistic is greater than the critical t-value

b. Reject the null hypothesis because the t-statistic is not greater than the critical t-value

c. Fail to reject the null hypothesis because the t-statistic is greater than the critical t-value

d. Fail to reject the null hypothesis because the t-statistic is not greater than the critical t-value

1f)

**Compute r ^{2} to measure the size of the
treatment effect.**

**r ^{2} is**

1g)

**Report the results in APA. Include r ^{2} as a
measure of the effect size.**

Thank you ********

Answer #1

Questions 7 to 13 are based on the following problem A
researcher used a sample of n =16 adults between the ages of 40 and
45. For each person, the researcher recorded the difference between
the ratings obtained while smiling and the rating obtained while
frowning. On average the cartoons were rated as funnier when the
participants were smiling, with an average difference of MD = 1.6,
with SS = 135. Are the cartoons rated as significantly funnier when
the...

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difference of MD = 1.6, with SS =
150.
Are the cartoons rated as significantly funnier when the
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MD= 7.4, with SS = 1215. Does the result support the conclusion
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(A)...

1.a)A researcher obtains a sample of n= 25 adults who
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A researcher obtains a sample of n= 16 adults who are
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