A company needs to determine the optimum power and time settings for their new licorice-flavored microwaveable popcom. They want to find a combination of power and time that delivers high-quality popcorn with less than 10% of the kernels left unpopped, on average a value that their market research says is demanded by their customers. Their research department experiments with several settings and determines that power 9 at 4 minutes is optimum. Their tests confirm that this setting meets the less than 10% requirement. They change the instructions on the box and promote a new money back guarantee of less than 10% unpopped kernels. Complete parts a) and b) below. D. They have made a Type I error. Customers will be disappointed to find more than 10% unpopped kernels. They may demand their money back. b) To be sure that the method was successful, the research department popped 8 more bags of popcorn (selected at random) at this setting. All were of high quality, with the percentages of unpopped kernels being 6.9, 13.1, 10.1, 6.2, 7.8, 2.8, 2.4, and 5.1. Does this provide evidence that they met their goal of an average of fewer than 10% unpopped kernels? Assume a = 0.05. Are the conditions of the hypothesis test for the mean met? Select all that apply. Yes, all of the conditions are met. B. No, the 10% Condition is not met. C. No, the Independence Assumption is not met. D. No, the Nearly Normal Condition is not met. E. No, the Randomization Condition is not met. What is the value of the test statistic? Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The test statistic is (Round to two decimal places as needed.) B. It is inappropriate to conduct this test because not all of the conditions are met.

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A company needs to determine the optimum power and time settings for their new licorice-flavored microwaveable
popcom. They want to find a combination of power and time that delivers high-quality popcorn with less than 10% of
the kemels left unpopped, on average-a value that their market research says is demanded by their customers. Their
research department experiments with several settings and determines that power 9 at 4 minutes is optimum. Their
tests confirm that this setting meets the less than 10% requirement. They change the instructions on the box and
promote a new money back guarantee of less than 10% unpopped kernels. Complete parts a) and b) below.
***
D. They have made a Type I error. Customers will be disappointed to find more than 10% unpopped kernels.
They may demand their money back.
b) To be sure that the method was successful, the research department popped 8 more bags of popcorn (selected at
random) at this setting. All were of high quality, with the percentages of unpopped kernels being 6.9, 13.1, 10.1, 6.2,
7.8, 2.8, 2.4, and 5.1. Does this provide evidence that they met their goal of an average of fewer than 10%
unpopped kernels? Assume a = 0.05.
Are the conditions of the hypothesis test for the mean met? Select all that apply.
A. Yes, all of the conditions are met.
B. No, the 10% Condition is not met.
C. No, the Independence Assumption is not met.
D. No, the Nearly Normal Condition is not met.
E. No, the Randomization Condition is not met.
What is the value of the test statistic? Select the correct choice below and, if necessary, fill in the answer box within
your choice.
A. The test statistic is
(Round to two decimal places as needed.)
B. It is inappropriate to conduct this test because not all of the conditions are met.
Transcribed Image Text:A company needs to determine the optimum power and time settings for their new licorice-flavored microwaveable popcom. They want to find a combination of power and time that delivers high-quality popcorn with less than 10% of the kemels left unpopped, on average-a value that their market research says is demanded by their customers. Their research department experiments with several settings and determines that power 9 at 4 minutes is optimum. Their tests confirm that this setting meets the less than 10% requirement. They change the instructions on the box and promote a new money back guarantee of less than 10% unpopped kernels. Complete parts a) and b) below. *** D. They have made a Type I error. Customers will be disappointed to find more than 10% unpopped kernels. They may demand their money back. b) To be sure that the method was successful, the research department popped 8 more bags of popcorn (selected at random) at this setting. All were of high quality, with the percentages of unpopped kernels being 6.9, 13.1, 10.1, 6.2, 7.8, 2.8, 2.4, and 5.1. Does this provide evidence that they met their goal of an average of fewer than 10% unpopped kernels? Assume a = 0.05. Are the conditions of the hypothesis test for the mean met? Select all that apply. A. Yes, all of the conditions are met. B. No, the 10% Condition is not met. C. No, the Independence Assumption is not met. D. No, the Nearly Normal Condition is not met. E. No, the Randomization Condition is not met. What is the value of the test statistic? Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The test statistic is (Round to two decimal places as needed.) B. It is inappropriate to conduct this test because not all of the conditions are met.
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