Arecent study evaluated how addicted teenagers become to nicotine once they start smoking. the response variable was the number of yes answers on a questionnaire called the hooked on nicotine checklist (honc). a subject was called a monthly smoker if he or she had smoked cigarettes over an extended period of time. the 74 female monthly smokers had a mean honc score of 5.2 (s=3.6), and the 78 male monthly smokers had a mean honc score of 3.8 (s=3.5). using software that can conduct analyses using summary statistics, complete parts a and b below.
a. find the test statistic and p-value for h0: μ1 = μ2 and ha: μ1 ≠ μ2. interpret, and explain what (if any) effect gender has on the mean honc score. use the significance level 0.05.
the test statistic is (round to three decimal places as needed)
the p-value is
since the p-value is than 0.05, the null hypothesis. conclude that the mean honc for female monthly somkers the mean honc score for male monthly smokers.
b. do you think that the honc scores were approximately normal for each gender? why or why not? how does this affect the validity of the analysis in part a?
do you think the scores for females were approximately normal?
a. the sample mean is less than 2 standard deviations above the lowest possible score, 0, so the population cannot be approximately normal.
b. the sample size is greater than 30, so the population is approximately normal.
c. the sample size is greater than 30, so the population is not approximately normal.
d. the sample mean is more than 3 standard deviations above the lowest possible score, 0, so the population could be approximately normal.