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

=9.9

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

n=16,

x=19.7

minutes,

s=12.7

minutes. Use a

0.10

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.

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Part 1

Let

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

H0:

greater than>

equals=

less than<

not equals

enter your response here

H1:

not equals

greater than>

less than<

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.