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A new baker is trying to decide if he has an appropriate price set for his...

A new baker is trying to decide if he has an appropriate price set for his 3 tier wedding cakes which he sells for $98.94. He is particullarly interested in seeing if his wedding cakes do not sell for the average price. He searches online and finds 21 of the competitors in his area that sell 3 tier wedding cakes with a mean price of $90.08 with a standard deviation of $6.05. Help the new baker by testing his his claim with a 0.05 level of significance.

The correct hypotheses would be:

  • H0:μ≤$98.94H0:μ≤$98.94
    HA:μ>$98.94HA:μ>$98.94 (claim)
  • H0:μ≥$98.94H0:μ≥$98.94
    HA:μ<$98.94HA:μ<$98.94 (claim)
  • H0:μ=$98.94H0:μ=$98.94
    HA:μ≠$98.94HA:μ≠$98.94 (claim)



Since the level of significance is 0.05 the critical value is 2.086 and -2.086

The test statistic is: (round to 3 places)

The p-value is: (round to 3 places)

The decision can be made to:

  • reject H0H0
  • do not reject H0H0



The final conclusion is that:

  • There is enough evidence to reject the claim that his wedding cakes do not sell for the average price.
  • There is not enough evidence to reject the claim that his wedding cakes do not sell for the average price.
  • There is enough evidence to support the claim that his wedding cakes do not sell for the average price.
  • There is not enough evidence to support the claim that his wedding cakes do not sell for the average price.
math   Statistics-And-Probability   
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There is enough evidence to support the claim that his wedding cakes do not sell for the average price.

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