A scientist estimates that the mean nitrogen dioxide level in Calgary is greater

Question

A scientist estimates that the mean nitrogen dioxide level in Calgary is greater than 32 parts per billion. You want to test this estimate. To do so, you determine the nitrogen dioxide levels for 34 randomly selected days. The results (in parts per billion) are shown in the table at the left. Assume the population standard deviation is 9 parts per billion. At alpha =.06, can you support the scientist's estimate?

Nitrogen dioxide levels (in parts per billion) 24 36 44 35 44 34 29 40 39 43 41 32 33 29 29 43 25 14 15 14 29 25 27 22 24 18 17

Hypothesis test results:
: Mean of variable
H0 : = 0
HA : 0
Standard deviation not specified.

Hypothesis test results:
: Mean of variable
H0 : = 0
HA : < 0
Standard deviation not specified.

Hypothesis test results:
: Mean of variable
H0 : = 0
HA : > 0
Standard deviation not specified.

Which one of these is the correct hypotheses test result??

Variable n Sample Mean Std. Err. Z-Stat P-value Nitrogen dioxide levels (in parts per billion) 34 29.676471 1.5716521 18.882341 <0.0001

Explanation / Answer

A scientist estimates that the mean nitrogen dioxide level in Calgary is greater than 32 parts per billion

Hence Correct the correct hypotheses test result is

Hypothesis test results:
: Mean of variable
H0 : = 0
HA : > 0
Standard deviation not specified.

Variable n Sample Mean Std. Err. Z-Stat P-value Nitrogen dioxide levels (in parts per billion) 34 29.676471 1.5716521 18.882341 <0.0001

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