Strack, Martin, and Stepper (1988) reported that people rate cartoons as funnier when holding a pen in their teeth (which forced them to smile) than when holding a pen in their lips (which forced them to frown).  A researcher attempted to replicate this result using a sample of n = 25 adults between the ages 40 and 45. For each person, the researcher recorded the difference between the rating obtained while smiling and the rating obtained by frowning. On average, the cartoons were rated funnier when the participants were smiling, with an average difference of M D = 1.6 with SS = 150. In this problem, you do not have to calculate SS or the mean difference which is already provided.  Do the data indicate that the cartoons are rated significantly funnier when the participants are smiling?  Use a one-tailed test with α = .05  Please answer the question using all of the steps: null in word, alternative in words, null in symbols, alternative in symbols, critical region t,  df,  all steps in the analysis computing your repeated measure computed t, make a decision, and give a conclusion.

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Strack, Martin, and Stepper (1988) reported that people rate cartoons as funnier when holding a pen in their teeth (which forced them to smile) than when holding a pen in their lips (which forced them to frown).  A researcher attempted to replicate this result using a sample of n = 25 adults between the ages 40 and 45. For each person, the researcher recorded the difference between the rating obtained while smiling and the rating obtained by frowning. On average, the cartoons were rated funnier when the participants were smiling, with an average difference of M D = 1.6 with SS = 150.

In this problem, you do not have to calculate SS or the mean difference which is already provided. 

Do the data indicate that the cartoons are rated significantly funnier when the participants are smiling?  Use a one-tailed test with α = .05 

Please answer the question using all of the steps: null in word, alternative in words, null in symbols, alternative in symbols, critical region t,  df,  all steps in the analysis computing your repeated measure computed t, make a decision, and give a conclusion. 

Expert Solution
Step 1

State the hypotheses.

Statistics homework question answer, step 1, image 1

That is, there is no evidence to conclude that on average, the cartoons were rated significantly funnier when the participants were smiling.

Statistics homework question answer, step 1, image 2

That is, there is evidence to conclude that on average, the cartoons were rated significantly funnier when the participants were smiling.

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