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 6.3 years. At a = 0.03, is there enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 15 years? Complete parts (a) through (e). 7.4 13.5 15.7 18.2 19.1 13.1 19.5 20.9 9.9 19.9 11.2 13.7 10.2 22.5 13.2 22.5 15.9 17.9 14,8 15.2 228 21.9 19.8 19.3 15.5 18.3 22.9 18.1 7.7 18.4 12.4 72 (a) Identify the claim and state the null hypothesis and alternative hypothesis. OA. Ho:u=15 (claim) H: #15 OD. Ho: > 15 (claim) HA: 15 OB. Ho: >15 H: S 15 (claim) O E. Ho:2 15 (claim) Hu<15 OC. Ho: $ 15 (claim) H:> 15 OF. Ho: 15 (claim) Hu=15 Z (b) Identify the standardized test statistic. Use technology. (Round to two decimal places as needed.) (c) Find the P-value. Use technology P.(Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis and (c) interpret the decision in the context of the original claim at the 3% level of significance. O A Fail to reject Ho. There is not sufficient evidence to reject the claim that the OB. Reject Ho. There is not sufficient evidence to reject the claim that the Click to select your answer(s).

Answer 1

Given - n=32 6 = 6.3 X: Σαι n 7.4+18.1+ 13.5+15++ +18.4+18.2+19.1 + 18-1 + 19.5+20.9+9.9 +9.9+12+13.7 +10.2 +22.5+13.2 +22.5+15:9 +17.9 +12:4+14:8 +15.2 + 22.8 +21.9+19.8+19.3 +15.57 18.6 +02.9+4.2 32 518.6 32 = 16.20625 16.2063 a) The Correct option is a) Ho: u=15 (claim) Hall & 15 test statistic 7= 7-10 6/05 16.20 63-15 6.3/32 . cinder Ho, 40= 15 } 1.2063 1113693 = 1.083153 1.0852 7 = 1.08

c) p-value = 2x P (AC-12call) = 2xP(74-11-08321) = 2 x P(-1.0882) 2x 0.139360 0.278720 0.279 P-value - 0.279 Ho Test Criterian : It p-value <a then reject p-value = 0.2797 x=0.03 so We do not reject the new hypothesis to) d) The correct option is A.) Fail to reject Ho. There is not sufficient evidence to rojo et He claim that the mean time it takes smokers to quit smoking permanently is is yoors