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. a. State the null and the alternative hypotheses for the test. H_0: mu = 120: H_A: mu notequalto 120 H_0: mu greaterthanorequalto 120, H_A: mu 120 b. 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.) The p-value is: p-value

Explanation / Answer

The statistical software output for this problem is:

One sample Z hypothesis test:
: Mean of population
H0 : = 120
HA : 120
Standard deviation = 22

Hypothesis test results:

Hence,

b) Test statistic = -1.64

P - Value = 0.1018

The p - value is > 0.10. Option E

c) Not significantly

d) Critical values are -2.576 and 2.576 and we do not reject Ho.

Mean n Sample Mean Std. Err. Z-Stat P-value 36 114 3.6666667 -1.6363636 0.1018

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