(Round all intermediate calculations to at least 4 decimal places.)

It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportation researcher wants to determine if the statement made in the advertisement is false. She randomly test drives 36 small cars at 65 miles per hour and records the braking distance. The sample average braking distance is computed as 114 feet. Assume that the population standard deviation is 22 feet. UseTable 1.

a.State the null and the alternative hypotheses for the test.

H₀:= 120;

H_A: 120H₀: 120;

H_A:< 120H₀: 120;H_A:> 120

b.Calculate the value of the test statistic and thep-value.(Negative values should be indicated by a minus sign. Round "Test statistic" to 2 decimal places and "p-value" to 4 decimal places.)

Thep-value is:

p-value < 0.010

.01 p-value < 0.0250

.025 p-value < 0.050

.05 p-value < 0.10

p-value 0.10

c.Use= 0.01 to determine if the average breaking distance differs from 120 feet.

The average breaking distance is (significantly or not significantly) different from 120 feet.

Repeat the test with the critical value approach.(Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.)

Critical values are ___ and ___ and we (reject or do not reject ) Ho.