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The lengths of time (in years) it took a random sample of 32 former smokers to q

ID: 3160364 • Letter: T

Question

The lengths of time (in years) it took a random sample of 32 former smokers to quit smoking permanently aer listed. Assume the population standard deviation is 6.2 years. At alpah =.05, is there enough evidence to rejecct the claim that the mean time it takes smokers to quit smoking permanently is 15 years?

15.7 13.2 22.6 13.0 10.7 18.1 14.7 7.0 17.3 7.5 21.8 12.3 19.8 13.8 16.0 15.5 13.1 20.7 15.5 9.8 11.9 16.9 7.0 19.3 13.2 14.6 20.9 15.4 13.3 11.6 10.9 21.6

Hypothesis test results:
: Mean of variable
H0 : = 0
HA : 0
Standard deviation = 6.2

Hypothesis test results:
: Mean of variable
H0 : = 0
HA : < 0
Standard deviation = 6.2

Hypothesis test results:
: Mean of variable
H0 : = 0
HA : > 0
Standard deviation = 6.2

Which one of these is the correct hypothesis test??

Variable n Sample Mean Std. Err. Z-Stat P-value Times (in years) 32 14.834375 1.0960155 13.534822 <0.0001

Explanation / Answer

The following hypothesis is correct.

Hypothesis test results:
: Mean of variable
H0 : = 0
HA : 0
Standard deviation = 6.2

As the p-value < 0.05, we reject Ho.

Variable n Sample Mean Std. Err. Z-Stat P-value Times (in years) 32 14.834375 1.0960155 13.534822 <0.0001
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