Question
Ryan ran an experiment to test optimum power and time settings for microwave popcorn. Her goal was to deliver popcorn with fewer than 110% of
Ryan ran an experiment to test optimum power and time settings for microwave popcorn. Her goal was to deliver popcorn with fewer than 110% of the kernels leftunpopped, on average. She determined that power 9 at 4 minutes was the best combination. To be sure that the method wassuccessful, she popped 8 more bags of popcorn(selected atrandom) at this setting. All were of highquality, with the percentages of unpopped kernels shown below.
11.4, 12.5, 13.1, 7.7, 3.3, 4.4, 8.5, 2.2
Does this provide evidence that she met her goal of an average of fewer than 110% unpoppedkernels? Use 0.05 as theP-value cutoff level.
Choose the correct null and alternative hypotheses.
A.
H0: <10
HA: =10
B.
H0: =10
HA: <10
C.
H0: =10
HA: 10
D.
H0: >10
HA: =10
E.
H0: =10
HA: >10
F.
H0: 10
HA: =10
Calculate the test statistic.
t=
(Round to three decimal places asneeded.)
Calculate theP-value.
P-value=
(Round to four decimal places asneeded.)
Does this provide evidence that Ryan met his goal?
A.Yes, there is enough evidence to suggest that at least 10% of the kernels are left unpopped when the specified power and time settings are used.
B. No, there isnot enough evidence to suggest that less than 10% of the kernels are left unpopped when the specified power and time settings are used.
C. No, there is not enough evidence to suggest that at least 10% of the kernels are left unpopped when the specified power and time settings are used.
D. Yes, there is enough evidence suggest that less than 10% of the kernels are left unpopped when the specified power and time settings are used.
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