Claudia’s bakery business has taken off. Her goods are so popular that she has decided to invest in kitchen equipment that will do some of the work for her. One machine in particular prepares bread dough, and it is set to measure 8 grams of yeast per loaf. Because baking requires precise measurements, she wants to test the new machine to make sure that the variance in the amounts of yeast per loaf is less than 0.31, at the 0.05 level of significance. A sample of the amounts of yeast added to the dough for 14 loaves has a variance of 0.12. Does this evidence support the claim that the new machine produces dough with a variance in the amounts of yeast per loaf of less than 0.31? Assume that the amounts of yeast per loaf are normally distributed.   Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. H0: σ2=0.31 Ha: σ2⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0.31

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Claudia’s bakery business has taken off. Her goods are so popular that she has decided to invest in kitchen equipment that will do some of the work for her. One machine in particular prepares bread dough, and it is set to measure 8 grams of yeast per loaf. Because baking requires precise measurements, she wants to test the new machine to make sure that the variance in the amounts of yeast per loaf is less than 0.31, at the 0.05 level of significance. A sample of the amounts of yeast added to the dough for 14 loaves has a variance of 0.12. Does this evidence support the claim that the new machine produces dough with a variance in the amounts of yeast per loaf of less than 0.31? Assume that the amounts of yeast per loaf are normally distributed.
 
Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below.

H0: σ2=0.31
Ha: σ2⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0.31
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