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1530M608eq6 www.webassign net/web/Student/Assignment-Responses/submit?dep Anindu

ID: 3217269 • Letter: 1

Question

1530M608eq6 www.webassign net/web/Student/Assignment-Responses/submit?dep Anindustrial plant daims to discharge no more than 1000 gallons of wastewater por hour, on the average, into a neighboring la An environmental action group decides to monitor the plant, in case this Emit being exceeded. A random sample of 42 hours is slected over a period of a month. The data are unimodal and roughly symmetric. SR- 1173, s 649, and standard Error 100.143 (a) using statount, the p-value 195 X decimal places) (b) Are the conditions met to conduct his test? 0 Yes, because the population is approximately normal because n 30. Yes, because the dat are approximately normal. e Yes, bar is nal because n 30. Therefore, the Central Limit Theorem can be used 0 No, np and n( re not both 15. 0 Yes, np and n(1-p) are both is the correct condusion? At alpha 0.05, which of the o Reject the nul hypothesis. There is insufficient evidence that the wastewater discharged by the industrial plant exceeds 1000 gallons per hour o Reject the null hypothesis. There is sufficient evidence that the wastewater discharged by the industrial plant exceeds 1 gallons per hour. Do not reject the nul hypothesis. There is insufficient evidence that the wastewater discharged by the industrial plant exceeds 100o galons per hour o Do not reject the null hypothesis. There is evidence that the wastewater discharged by the industrial plant exceeds 1000 galons per hour. Submit Answer save Progress Anmvers 12 Submissiona used A recent study at UGA (March 5, 2008) suggests that students with oel phones may take more isks than students that do not have cell phones In a random sample of 30s uGA female students, 128 responded that, if they had a cel phone, they would be willing to walk somewhere after darkthat they would normally not go, use the above survey results to test the daimthat less than half of al UGA female students who, if they had a call phone, would be willing to walk somewhere after dark that they would nonmally not go 746 PM fr a D O Ask me anything 432017 Alt Gr

Explanation / Answer

Null hypothesis is : M 1000

Alternate hypothesis is : M > 1000

.

x = 1173

s = 649

n = 42

.

Then the Test statistic will be:

Z = (1173 -1000) / (649/sqrt(42))

Z = 1.7275

P Value for Z = 1.7275 , will be 0.0420 [as obtained from excel command "=1-normsinv(1.7275)" ]

.

As it is mentioned in the question that the data is unimodal and summetric this means the population is already normally distributed, so no need to apply central limit theorem for it. thus the correct answer choice is:

"Yes, the data is approximately normal "

.

At alpha = 0.05 , we got P vlaue = 0.0420

We got P value < alpha , thus we reject the null . there is sufficient evidence that the wastewater discharged by the plant exceeds 1000 gallons per hour

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