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Yes, x-bar is nearly normal because n > 30. Therefore, the Central Limit Theorem

ID: 3263219 • Letter: Y

Question

Yes, x-bar is nearly normal because n > 30. Therefore, the Central Limit Theorem can be used.

Yes, because the data are approximately normal.     

Yes, because the population is approximately normal because n > 30.No, np and n(1-p) are not both > 15

.Yes, np and n(1-p) are both > 15.



(c) At alpha = 0.05, which of the following is the correct conclusion?

Reject the null hypothesis. There is insufficient evidence that the wastewater discharged by the industrial plant exceeds 1000 gallons per hour.

Do not reject the null hypothesis. There is insufficient evidence that the wastewater discharged by the industrial plant exceeds 1000 gallons per hour.

    Do not reject the null hypothesis. There is evidence that the wastewater discharged by the industrial plant exceeds 1000 gallons per hour.

Reject the null hypothesis. There is sufficient evidence that the wastewater discharged by the industrial plant exceeds 1000 gallons per hour.

Explanation / Answer

The statistical software output for this problem is:

One sample T hypothesis test:
: Mean of population
H0 : = 1000
HA : > 1000

Hypothesis test results:

Hence,

a) p - value = 0.019

b) Option A is correct.

c) Option D is correct,

Mean Sample Mean Std. Err. DF T-Stat P-value 1194 90.73037 41 2.1382036 0.0193