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

ID: 3242734 • Letter: T

Question

The lengths of time (in years) it took a random sample of 32 former smokers to quit smoking permanently are listed. Assume the population standard deviation is 5.3 years. At = 0.03 , is there enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 13 years?

Complete parts (a) through (e).

22.2        16.6        20.7        11.1        11.7        9.4          9.1          7.3

12.8        22.1        19.4        20.4        13.3        13.1        11.6        19.2

9.3          17.4        22.5       12.4        11.7        12.2        12.1        15.4

10.9       12.6        18.5        11.9          9.8          8.6        10.5        14.8

Identify the standardized test statistic. Use technology.

z = ___

(Round to two decimal places as needed.)

Find the P-value. __

Explanation / Answer

The statistical software output for this problem is:

One sample Z hypothesis test:
: Mean of variable
H0 : = 13
HA : 13
Standard deviation = 5.3

Hypothesis test results:

Hence,

z = 1.15

P - Value = 0.2485

Variable n Sample Mean Std. Err. Z-Stat P-value var1 32 14.08125 0.93691649 1.1540516 0.2485
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