A wastewater treatment plant must monitor its discharge cont

A wastewater treatment plant must monitor its discharge continuously in order to comply with Environmental Protection Agency (EPA) regulations. The EPA requires that the plant keep its discharge level below 1531 gallons per hour. On a randomly selected day, discharge rates were sampled at 6 different times. This data - rounded to the nearest integer - is reported in Table 1.

An EPA scientist would like to test to see if there is evidence that this plant\'s discharge rate is exceeding the limit of 1531 gallons/hour. Let = 0.10

A)The appropriate null/alternative hypothesis pair for this study is:

a. Ho: 1531; Ha: > 1531

b. Ho: x 1531; Ha: x > 1531   

c. Ho: < 1531; Ha: > 1531

d. Ho: < 1531; Ha: 1531

e. Ho: = 1531; Ha: > 1531

f. Ho: 1531; Ha: < 1531

g. Ho: x = 1531; Ha: x > 1531

h. Ho: = 1531; Ha: 1531

i. Ho: 1531; Ha: 1531

B) The sample average wastewater discharge rate for this treatment plant is: ______gal/hr
    Note: round your answer to the nearest hundredth

C) The sample standard deviation of the wastewater discharge rates for this treatment plant is: ____
      Note: round your answer to the nearest hundredth

D) The test statistic for this data set is: t-statistic = ______
      Note: Round your answer to the nearest hundredth.

E) The p-value for this study is: ______
      Note: express your answer to 4 decimal precision

F) The statistical decision and corresponding English interpretation are:

a. Reject Ho: we can conclude that waste water discharge rates are, on average, less than 1531 gal/hr

b. FTR Ho: we cannot conclude that waste water discharge rates are, on average, different than 1531 gal/hr.   

c. FTR Ho: we can conclude that waste water discharge rates are, on average, different than 1531 gal/hr.

d. FTR Ho: we cannot conclude that waste water discharge rates are, on average, less than 1531 gal/hr

e. Reject Ho: conclude that waste water discharge rates are, on average, greater than 1531 gal/hr.

f. FTR Ho: we can conclude that waste water discharge rates are, on average, less than 1531 gal/hr

g. FTR Ho: we cannot conclude that waste water discharge rates are, on average, more than 1531 gal/hr

Solution