1. A wastewater treatment plant must monitor its discharge continuously in order
ID: 3206054 • Letter: 1
Question
1. 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 1595 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.
Table 1: Wastewater discharge rates (gal/hr)
1602
1611
1614
1596
1597
1593
An EPA scientist would like to test to see if there is evidence that this plant's discharge rate is exceeding the limit of 1595 gallons/hour. Let = 0.01
A)The appropriate null/alternative hypothesis pair for this study is: (choose one)
1.Ho: x 1595; Ha: x > 1595
2.Ho: x = 1595; Ha: x > 1595
3.Ho: = 1595; Ha: 1595
4.Ho: 1595; Ha: > 1595
5.Ho: 1595; Ha: 1595
6.Ho: 1595; Ha: < 1595
7.Ho: = 1595; Ha: > 1595
8.Ho: < 1595; Ha: > 1595
9.Ho: < 1595; Ha: 1595
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:
1.FTR Ho: we can conclude that waste water discharge rates are, on average, different than 1595 gal/hr.
2.FTR H0: we cannot conclude that waste water discharge rates are, on average, less than 1595 gal/hr
3.Reject Ho: we can conclude that waste water discharge rates are, on average, less than 1595 gal/hr
4.FTR Ho: we cannot conclude that waste water discharge rates are, on average, more than 1595 gal/hr
5.FTR Ho: we can conclude that waste water discharge rates are, on average, less than 1595 gal/hr
6.Reject Ho: conclude that waste water discharge rates are, on average, greater than 1595 gal/hr.
7.FTR Ho: we cannot conclude that waste water discharge rates are, on average, different than 1595 gal/hr.
_________________________________________________________________________________________________________________________________________
2. Consider conducting a hypothesis test in which the null and alternative hypotheses are:
Ho: c
Ha: > c
Where c is some hypothesized value.
Suppose the significance level is 0.1, the test statistic is positive, and the statistical decision is to FTR Ho.
If we redo the test at = 0.05, our statistical decision would be: ______________ (Coose One)
1.FTR Ho at = at 0.05
2.There is not enough information to make a decision 0.05
3. Reject Ho at = 0.05
Note: 1 submission opportunity
I also attached a pitcure of the question, please save me
1602
1611
1614
1596
1597
1593
My Notes 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 1595 gallons per hour. On a randomly selected day a discharge rates were sampled at 6 different times. This data rounded to the nearest integer is reported in Table Table Wastewater discharge rates An EPA scientist would like to test to see if there is evidence that this plant's discharge rate is exceeding the limit of 1595 gallons/hour. Let a -0.01 A)The appropriate null/alternative hypothesis pair for this study is: Hoo: X S 1595: Ha: x 595 Ho: X 1595: Ha: x 1595 Hoo: H 595 Ha: He 1595 Ho: Aus 1595; Ha: u 1595 Ho: Aus 1595; Ha: u 21595 Ho: Au 1595; Ha: H 1595 595; Hla: 1595 Ho: 1595: Ha: u 1595 B) The sample average wastewater discharge e for this treatment plant is: 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: Note: Round your answer to the nearest hundredth C) The p-value for this study is Note: express your answer to 4 decimal precision F) The statistical decision and corresponding English nterpretation are FTR Ho: we can conclude that waste water discharge rates are, on average, different than 1595 gal/h FrRH0: we cannot conclude that waste water discharge rates are, on average, less than 1595 gal/hr Reject Ho: we can conclude that waste water discharge rates are, on average, less than 1595 galhr FrR Hop: we cannot conclude that waste water discharge rates are, on average, more than 1595 gal/hr FTR Ho: we can conclude that waste water discharge rates are, on average, less than 1595 gal/hr Reject Ho: conclude that waste water discharge rates are, on average, greater than 1595 gal/hr FTR Ho: we cannot conclude that waste water discharge rates are, on average, different than 1595 gal/hr -1 points My Notes Consider conducting a hypothesis test in which the null and alternative hypotheses are Hot Sc c is hypothesized Suppose the significance level is 0.1, the test statistic is positive o.os, our statistical decision would be redo the test at FTR Ho at a at 0.05 Note submission opportunity not enough information to make a decision 0.05 Reject Ho at a m 0.05 Submit Answer Save Progress Practoe Another versonExplanation / Answer
(A) 4.Ho: 1595; Ha: > 1595
(B) The sample average wastewater discharge rate for this treatment plant is 1602.17 gal/hr
(C) The sample standard deviation of the wastewater discharge rates for this treatment plant is 8.57 gal/hr
(D) SE = s/n = 8.57/6 = 3.498687849
t = (x-bar - )/SE = (1602.17 - 1595)/3.49868784927531 = 2.05
(E) p- value = 0.0479
(F) 4.FTR Ho: we cannot conclude that waste water discharge rates are, on average, more than 1595 gal/hr
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