A new baker is trying to decide if he has an appropriate price set for his 3 tier wedding cakes which he sells for $96.55. He is particullarly interested in seeing if his wedding cakes do not sell for the average price. He searches online and finds that out of 37 of the competitors in his area they sell their 3 tier wedding cakes for $89.58. From a previous study he knows the standard deviation is $9.74. Help the new baker by testing this with a 0.10 level of significance. The correct hypotheses would be:

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A new baker is trying to decide if he has an appropriate price set for his 3 tier wedding cakes which he sells
for $96.55. He is particullarly interested in seeing if his wedding cakes do not sell for the average price. He
searches online and finds that out of 37 of the competitors in his area they sell their 3 tier wedding cakes
for $89.58. From a previous study he knows the standard deviation is $9.74. Help the new baker by testing
this with a 0.10 level of significance.
The correct hypotheses would be:
Ο H: μ $96.55
HA:µ > $96.55 (claim)
O Ho : µ > $96.55
HA:µ < $96.55 (claim)
O Ho: µ = $96.55
HA:µ + $96.55 (claim)
Since the level of significance is 0.10 the critical value is 1.645 and -1.645
The test statistic is:
(round to 3 places)
The p-value is:
(round to 3 places)
The decision can be made to:
O reject Ho
O do not reject Ho
The final conclusion is that:
O There is enough evidence to reject the claim that his wedding cakes do not sell for the average
price.
O There is not enough evidence to reject the claim that his wedding cakes do not sell for the average
price.
O There is enough evidence to support the claim that his wedding cakes do not sell for the average
price.
O There is not enough evidence to support the claim that his wedding cakes do not sell for the average
price.
Transcribed Image Text:A new baker is trying to decide if he has an appropriate price set for his 3 tier wedding cakes which he sells for $96.55. He is particullarly interested in seeing if his wedding cakes do not sell for the average price. He searches online and finds that out of 37 of the competitors in his area they sell their 3 tier wedding cakes for $89.58. From a previous study he knows the standard deviation is $9.74. Help the new baker by testing this with a 0.10 level of significance. The correct hypotheses would be: Ο H: μ $96.55 HA:µ > $96.55 (claim) O Ho : µ > $96.55 HA:µ < $96.55 (claim) O Ho: µ = $96.55 HA:µ + $96.55 (claim) Since the level of significance is 0.10 the critical value is 1.645 and -1.645 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that his wedding cakes do not sell for the average price. O There is not enough evidence to reject the claim that his wedding cakes do not sell for the average price. O There is enough evidence to support the claim that his wedding cakes do not sell for the average price. O There is not enough evidence to support the claim that his wedding cakes do not sell for the average price.
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