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 r² to measure the size of the treatment effect.

r² is

1g)

Report the results in APA. Include r² as a measure of the effect size.

Thank you ********

Answer 1