(1) No, np and n(1-p) are not both > 15. (2) Yes, because the population is appr
ID: 3052771 • Letter: #
Question
(1) No, np and n(1-p) are not both > 15.
(2) Yes, because the population is approximately normal because n > 30.
(3) Yes, because the data are approximately normal.
(4) Yes, x-bar is nearly normal because n > 30. Therefore, the Central Limit Theorem can be used.
(5) Yes, np and n(1-p) are both > 15.
(c) At alpha = 0.05, which of the following is the correct conclusion? (Multiple Choice: 1, 2, 3, or 4?)
(1) Reject the null hypothesis. There is sufficient evidence that the wastewater discharged by the industrial plant exceeds 1000 gallons per hour.
(2) Reject the null hypothesis. There is insufficient evidence that the wastewater discharged by the industrial plant exceeds 1000 gallons per hour.
(3) Do not reject the null hypothesis. There is evidence that the wastewater discharged by the industrial plant exceeds 1000 gallons per hour.
(4) Do not reject the null hypothesis. There is insufficient evidence that the wastewater discharged by the industrial plant exceeds 1000 gallons per hour.
Explanation / Answer
a) test statistic t =(X-mean)/std error =(1142-1000)/92.736=1.531
for above test statistic and (n-1=41) degree of freedom p value =0.067
( pleas try 0.063 if above does nt work if z distribution is used)
b)(4) Yes, x-bar is nearly normal because n > 30. Therefore, the Central Limit Theorem can be used.
c)
(4) Do not reject the null hypothesis. There is insufficient evidence that the wastewater discharged by the industrial plant exceeds 1000 gallons per hour.
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