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Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.32 parts per million. It was

Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.32 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 65 cities is 2.38 parts per million and the standard deviation is 2.12 parts per million. At =0.05, can the claim besupported? Complete parts(a) through(e) below. Assume the population is normally distributed.

(a) Identify the claim and state H0 and Ha. Which of the following correctly states H0 and Ha?

H0:

mu

less than

<

nothing

Ha:

mu

greater than or equals

2.32

2.32

(Type integers or decimals. Do notround.)

The claim is the alternative

hypothesis.

(b) Use technology to find the criticalvalue(s) and identify the rejectionregion(s).

The criticalvalue(s) is/are t0=

0.20

0.20.

(Use a comma to separate answers as needed. Round to two decimal places asneeded.)

Choose the graph which shows the rejection region.

A.

0

-4

4

t

t0

t0

t0

A graph labeled negative t 0 less than t less than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. Two vertical line segments extend from the curve to the t-axis at the points labeled negative t 0 and t 0, where t 0 is to the right of 0. The area under the curve between negative t 0 and t 0 is shaded.

B.

0

-4

4

t

t0

t0

tt0

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