Question

You are interested in how body weight in frogs varies across a temperature gradient. You measure the body weights of randomly caught frogs in 20 samples at each of 7 temperatures: temp 1, temp 2, temp 3, temp 4, temp 5, temp 6, and temp 7. Each of your 20 samples is composed of about 100 frogs and you average body weight from each sample to generate a single measure of body weight at each temperature.  Therefore, you have a total sample size of 140.  You performs the following planned comparisons: A) [temps 2, 3, 4] vs. [temps 5, 6, 7], B) [temps 1, 2, 5) vs. [temps 4 and 7], and C) [temps 3 and 4] vs. [temps 6 and 7].  You obtain the following p-values for each contrast: A = 0.034, B = 0.019, C = 0.010.  What can you conclude?  [show your work]

Answer 1

• A=0.034 ( < 0.05). Thusi can be said that the null hypothesis is rejected that is the weight of frogs due to temp [ 2 ,3, 4] is not same as the weight of frogs due to temp [ 6, 7, 8]
• B=0.019 ( < 0.05 ).Thus it can be said that the null hypothesis is rejected that is the weight of frogs due to temp [ 1, 2 ,5 ] is not same as the weight of frogs due to temp [ 4, 7]
• C= 0.010 ( 0.05) thus it can be said that the null hypothesis is rejected that is the weight of frogs due to temp [ 3, 4] is not same as the weight of frogs due to temp [ 6, 7]