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The Perfect Pumpkin Patch claims that their princess pumpkins have the mean weight of at least 12 lbs. You suspect they are embellishing the truth somewhat. Your plan is to bring a small child to find 40 pumpkins (at random, because small children are perfect random number generators) and weigh the pumpkins. How are you going to formulate your null and alternative hypotheses for this test of significance

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JeanaShupp

Answer: Null hypothesis : [tex]\mu\geq12[/tex]

Alternative hypothesis : [tex]\mu<12[/tex]  

Step-by-step explanation:

  • Hypothesis is formed as per the researcher's objective about the population parameter.
  • Null hypothesis contains '=', '≤', '≥' , where as Alternative hypothesis  [opposite of null hypothesis] contains '≠', '<','>'.

Let [tex]\mu[/tex] = mean weight princess pumpkins (in lbs).

Perfect Pumpkin Patch claims [tex]\mu\geq12[/tex].

i.e. Null hypothesis : [tex]\mu\geq12[/tex]

Alternative hypothesis : [tex]\mu<12[/tex]  

So the required null and alternative hypotheses :

Null hypothesis : [tex]\mu\geq12[/tex]

Alternative hypothesis : [tex]\mu<12[/tex]  

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