Question

1.   A company with a large effect of cars hopes to keep gasoline costs down and sets a goal of attaining a fleet average of at least 26 miles per gallon. To see if the goal is being met, they check the gasoline usage for 50 company trips chosen at random, finding a mean of 25.02 mpg and a standard deviation of 4.83 mpg. Is this strong evidence that they have failed to attain their fuel economy goal?Thecorrectnullandalternativehypotheses for testing the beliefare

A)H0:µ=26;HA:µ≠26                             

B)H0:µ=25.02;HA:µ<25.02

C)H0:µ=26;HA:µ<26

D)H0:µ=26;HA:µ> 26

E)H0:µ= 25.02;HA:µ >25.02

2. A company with a large effect of cars hopes to keep gasoline costs down and sets a goal of attaining a fleet average of at least 26 miles per gallon. To see if the goal is being met, they check the gasoline usage for 50 company trips chosen at random, finding a mean of 25.02 mpg and a standard deviation of 4.83 mpg. Is this strong evidence that they have failed to attain their fuel economy goal? The correct calculated value of the test statistic for testing the belief is

A)-1.435      B)-1.552        C)1.435      D)1.552        E)-1.178

3. A company with a large effect of cars hopes to keep gasoline costs down and sets a goal of attaining a fleet average of at least 26 miles per gallon. To see if the goal is being met, they check the gasoline usage for 50 company trips chosen at random, finding a mean of 25.02 mpg and a standard deviation of 4.83 mpg. Is this strong evidence that they have failed to attain their fuel economy goal?The P-value associated with the test statistic is equal to 0.079. The correct statement(s) at the 0.05 level of significance is (are):

1. Fail torejectthenullhypothesis.
2. Rejectthenullhypothesis.
3. There is sufficient evidencethat the company has failed to attain the fuel economy goal.
   1. IIonly
   2. Ionly
   3. BothI andIII
   4. IIIonly
   5. BothIIand III

4. Interpret the meaning of p-value=0.079 in the context of question (1)-(3):                                        

1. Theprobabilityof seeing a sample mean of 25.02 miles per gallon or less is 7.9%.
2. Noneofthese.
3. If the fleet average is 26 miles per gallon, the probability of seeing a sample mean of 25.02 miles per gallon or less is 7.9%.
4. If the fleet average is 25.02 miles per gallon, theprobabilityof seeing a sample mean of 26 miles per gallon or less is 7.9%.
5. The probability of seeing the fleet average to be 25.02 miles per gallon is 7.9%.

Answer 1