Assume that Friday morning taxi-cab rides have times with a standard deviation of

=10.3

minutes. A cab driver records times of rides during a Friday afternoon time period and obtains these statistics:

n=12,

x=19.9

minutes,

s=13.2

minutes. Use a

0.05

significance level to test the claim that these Friday afternoon times have greater variation than the Friday morning times. Assume that the sample is a simple random sample selected from a normally distributed population.

Question content area bottom

Part 1

Let

denote the population standard deviation of Friday afternoon cab-ride times. Identify the null and alternative hypotheses.

H0:

greater than>

less than<

equals=

not equals

enter your response here

H1:

less than<

greater than>

equals=

not equals

enter your response here

(Type integers or decimals. Do not round.)

Part 2

Identify the test statistic.

enter your response here

(Round to two decimal places as needed.)

Part 3

Identify the P-value.

enter your response here

(Round to three decimal places as needed.)

Part 4

State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.

Accept

Fail to reject

Reject

the null hypothesis. There

is

is not

sufficient evidence to

warrant rejection of

support

the claim that the Friday afternoon cab-ride times have greater variation than the Friday morning times.