Question7 3 pts Imagine a researcher wanted to assess people\'s fear of dogs as

Question

Question7 3 pts Imagine a researcher wanted to assess people's fear of dogs as a function of the size of the dog. He assessed fear among people who indicated they were afraid of dogs, using a 30-point scale from O (no fear) to 30 (extreme fear). The researcher exposed each participant to three different dogs, a small dog weighing 20 pounds, a medium-sized dog weighing 55 pounds, and a large dog weighing 110 pounds, assessing fear level after each exposure. Here are some hypothetical data from this study: SmallMedium Large n=4 N 12 2x 35 64 Exr_ 395 | ??2-1042 |Exr_ 2785 Fill in the following information: |???2-4222 Assuming an ?-0.05, determine the cutoff for the rejection region. degrees of freedom between groups degrees of freedom error critical value Calculate the test statistic for the given data . Fou" (2 decimal required) Based on the data above, finish the statement about your decision: Based on the observed F value, we would decide to (accept, reject, fail to reject, fail to accept) the (null, alternative) hypothesis

Explanation / Answer

from above:

degree of freedom between groups =2

degree of freedom error =9

crtiical value =4.26

Fobt =20.54

based ib observed,,,,,,,,,,,reject the null hypothesis.

c ni x?i S2i ni*(Xi-Xgrand)2 (ni-1)*S2i small 4 8.750 29.583 272.250 88.75 medium 4 16.000 6.000 4.000 18.00 large 4 26.250 9.583 342.250 28.75 grand mean= 17.000 618.500 135.50 SSTr SSE Source of variation SS df MS F between 618.500 2 309.25 20.54 within 135.500 9 15.06 total 754.000 11

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