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Question Renee walks a mile in 16.1 minutes, on average, with a standard deviation of 0.4 . She decided to see if using new shoes

Question

Renee walks a mile in 16.1

minutes, on average, with a standard deviation of 0.4

. She decided to see if using new shoes improves her time. She used the new shoes for 15

walks. For those 15

walks, Renee got an average of 16

minutes. She wants to know if the new shoes helped her walk a faster mile. Which of the answer choices shows the correct first three steps of a one-mean hypothesis test at the 1%

significance level?

Select the correct answer below:

H

0

:=16.1

; H

a

:<16.1

, which is a left-tailed test.

=0.01

.

z

0

=1616.1

0.4

15

0.968

.

H

0

:=16.1

; H

a

:>16.1

, which is a right-tailed test.

=0.01

.

z

0

=1616.1

0.4

15

0.968

.

H

0

:=16.1

; H

a

:<16.1

, which is a left-tailed test.

=0.01

.

z

0

=16.116

15

0.4

0.004

.

H

0

:=16

; H

a

:>16

, which is a right-tailed test.

=0.01

.

z

0

=16.116

0.4

15

0.968

.

H

0

:=16.1

; H

a

:>16.1

, which is a right-tailed test.

=0.01

.

z

0

=1616.1

15

0.4

0.004

.

H

0

:=16

; H

a

:<16

, which is a left-tailed test.

=0.01

.

z

0

=16.116

0.4

15

0.968

.

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