A food delivery company making a large number of deliveries would like to keep their costs down; the manager sets a goal of attaining an average fuel efficiency greater than 26 miles per gallon for all of their deliveries. To check if their goal has been met, a random sample of 42 randomly chosen company deliveries was taken, yielding a mean of 27 mpg. (a) Which hypotheses should be tested in order to determine if their fuel efficiency goal has been met? H0: Ha: (b) The test statistic is 1.5361. What is the p-value? (Use 4 decimals.) (c) Should the company conclude their fuel efficiency goal has been met, for ? = 0.05? (No, Yes) , there is (insufficient, sufficient) evidence to conclude the average fuel efficiency for all of their deliveries is (equal to, greater than) 26 mpg. (d) Suppose the company took a larger sample size. How would this affect the standard error and test statistic? A larger sample size would result in a (smaller, larger) standard error, and a (larger, smaller) test statistic. How would a larger test statistic affect the p-value? A larger test statistic would result in a (smaller, larger) p-value, implying (weaker, stronger) evidence in favor of Ha
A food delivery company making a large number of deliveries would like to keep their costs down; the manager sets a goal of attaining an average fuel efficiency greater than 26 miles per gallon for all of their deliveries. To check if their goal has been met, a random sample of 42 randomly chosen company deliveries was taken, yielding a mean of 27 mpg.
(a) Which hypotheses should be tested in order to determine if their fuel efficiency goal has been met?
H0:
Ha:
(b) The test statistic is 1.5361. What is the p-value? (Use 4 decimals.)
(c) Should the company conclude their fuel efficiency goal has been met, for ? = 0.05?
(No, Yes) , there is (insufficient, sufficient) evidence to conclude the average fuel efficiency for all of their deliveries is (equal to, greater than) 26 mpg.
(d) Suppose the company took a larger sample size.
How would this affect the standard error and test statistic?
A larger sample size would result in a (smaller, larger) standard error, and a (larger, smaller) test statistic.
How would a larger test statistic affect the p-value?
A larger test statistic would result in a (smaller, larger) p-value, implying (weaker, stronger) evidence in favor of Ha
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