Question

Math 227, Winter 2019, H03 -10390 Quiz: Ch 7 Quiz Time Re 01:58.03 Submit Quiz This Quiz: 9 pts d deviation is 6.1 years. At a-0.08, is there enough e years? 20 6 10 5 18 6 72 21.6 10.1 12.3 20.8 20.6 20.8 19.1 13.1 21.9 15.8 21.4 17.6 16.4 14.3 201 14.7 164 16.7 21.7 17.2 (c) Find the P is 14 years time ia takes smokers to quit smoking permanently is 14 years Click to select your a

Answer 1

data

20.6
10.5
18.6
7.2
21.6
10.1
12.3
20.8
20.6
20.8
19.1
13.1
21.9
15.8
21.4
17.6
16.4
14.3
20.1
14.7
16.4
16.7
21.7
17.2
22.3
11.2
8.3
15.5
19.9
21.8
15.5
7.6

1-sample z-test

sample mean = 16.6125

The provided sample mean is X-16.6125 and the known population standard deviation is σ-6.1, and the sample size is n 32. (1) Null and Alternative Hypotheses The following null and alternative hypotheses need to be tested: Ho: μ-14 Ha: μ 14 This corresponds to a two-tailed test, for which a z-test for one mean, with known population standard deviation will be used. Based on the information provided, the significance level is a tailed test is 1.75. 0.08, and the critical value for a two- The rejection region for this two-tailed test is R {z : Izl > 1.75) The z-statistic is computed as follows: 140-16.6125-14 o Vn 6.1/V32 -2.423 (4) Decision about the null hypothesis Since it is observed that lz 2.423 > 1.75, it is then concluded that the null hypothesis is rejected Using the P-value approach: The p-value is p 0.0154, and since p 0.01540.08, it is concluded that the null hypothesis is rejected. (5) Conclusion It is concluded that the null hypothesis Ho is rejected. Therefore, there is enough evidence to claim that the population mean μ is different than 14, at the 0.08 significance level.

Z = 2.423
p-value = 0.0154

p-value < 0.08
we reject the null
option D)