Question

ran an experiment to test optimum power and time settings for microwave popcorn.

HerHer

goal was to deliver popcorn with fewer than

10​%

of the kernels left​ unpopped, on average.

SheShe

determined that power 9 at 4 minutes was the best combination. To be sure that the method was​ successful,

sheshe

popped 8 more bags of popcorn​ (selected at​ random) at this setting. All were of high​quality, with the percentages of unpopped kernels shown below.

6.3

13.21

9.9

3.3

2.1

2.6

4.8

10.5

  Does this provide evidence that

sheshe

met

herher

goal of an average of fewer than

10​%

unpopped​ kernels? Use 0.05 as the​ P-value cutoff level.

Choose the correct null and alternative hypotheses.

A.

H0​:

muμequals=1010

HA​:

muμgreater than>1010

B.

H0​:

muμnot equals≠1010

HA​:

muμequals=1010

C.

H0​:

muμequals=1010

HA​:

muμless than<1010

Your answer is correct.

D.

H0​:

muμequals=1010

HA​:

muμnot equals≠1010

E.

H0​:

muμless than<1010

HA​:

muμequals=1010

F.

H0​:

muμgreater than>1010

HA​:

muμequals=1010

Calculate the test statistic and P value

tequals=nothing

​(Round to three decimal places as​ needed.)

Answer 1

from above"

for hypothesis option C is correct

test statistic t=-2.328

p value =0.026