It is advertised that the average braking distance for a small car traveling at

Question

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. Use Table 1.

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

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

H0.

a. State the null and the alternative hypotheses for the test. H0: = 120; HA: 120 H0: 120; HA: < 120 H0: 120; HA: > 120

Explanation / Answer

H0: = 120; HA: 120

b) for std error =std deviation/(n)1/2 =3.667

hence test stat=(X-mean)/std error =(114-120)/3.667=-1.6362

p value for above =0.1018

c)as p value is greater then 0.01 level, hence we can not reject null hypothesis

The average breaking distance is not differnt from 120

d)critcal value at 0.01 level are +/- 2.5758

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