A lawn care company would like to estimate the difference in the mean length of time it takes for a plant to die when being sprayed by the new weed-control spray versus those sprayed by the standard weed-control spray. the mean length of time it took for the sample of 30 plants to die under the treatment of the standard weed-control spray was 22.4 hours with a standard deviation of 3.8 hours. the mean length of time it took for the sample of 30 plants to die under the treatment of the new weed-control spray was 18.2 hours with a standard deviation of 1.2 hours. a 95% confidence interval for μs – μn = the difference in the mean length of time it takes for weeds to die under these two sprays is (2.7, 5.7). check the statements that are true.
a. the confidence interval indicates that the new weed-control spray works faster than the standard weed-control spray.
b. the confidence interval indicates that the new weed-control spray works slower than the standard weed-control spray.
c. there is convincing evidence to conclude that the difference in the population mean time it takes for weeds to die under these two treatments differs.
d. it is plausible that there is no difference in the mean time for weeds to die under these two treatments.
e. if this experiment were repeated, the difference in the mean length of time it takes for weeds to die under these two sprays would be in the interval (2.7, 5.7).