Russia has recently started a push for stronger smoking regulations much like th

Question

Russia has recently started a push for stronger smoking regulations much like those in Western countries concerning cigarette advertising, smoking in public places, and so on. Listed below is sample data on smoking habits of Russians that are consistent with those Analyze the data and answer the following questions.

Develop a point estimate and a 95% confidence interval for the proportion of Russians who smoke.

Develop a point estimate and a 95% confidence interval for the mean annual per capita consumption (number of cigarettes) of a Russian.

For those Russians who do smoke, estimate the number of cigarettes smoked per day.

Smoker Annual Consumption Number of Cigarettes No 0 No 0 No 0 No 0 Yes 9208 No 0 Yes 14109 Yes 7320 No 0 Yes 5738 No 0 No 0 No 0 No 0 No 0 No 0 No 0 Yes 5732 Yes 7509 No 0 No 0 Yes 18049 Yes 8109 No 0 No 0 Yes 5088 Yes 2562 No 0 No 0 No 0 Yes 7847 Yes 10633 Yes 8692 No 0 Yes 3993 No 0 No 0 No 0 Yes 2308 No 0 Yes 4136 Yes 6128 No 0 No 0 No 0 Yes 7230 No 0 No 0 No 0 Yes 5119 Yes 6213 No 0 No 0 No 0 Yes 6231 No 0 Yes 7072 Yes 7176 Yes 3016 Yes 15504 Yes 17788 Yes 8734 No 0 No 0 No 0 No 0 No 0 Yes 2281 No 0 Yes 5359 No 0 No 0 Yes 5429 No 0 Yes 2512 No 0 No 0 Yes 6295 Yes 5276 No 0 No 0 No 0 No 0 No 0 No 0 No 0 Yes 9160 Yes 8648 No 0 No 0 Yes 8661 No 0 No 0 No 0 No 0 Yes 7705 No 0 No 0 No 0 No 0 Yes 2505 Yes 7862 No 0 No 0 Yes 3973 Yes 5811 No 0 No 0 No 0 Yes 7867 No 0 Yes 8346 Yes 8756 Yes 7864 No 0 Yes 8505 No 0 No 0 No 0 No 0 No 0 Yes 5687 Yes 16767 No 0 No 0 Yes 6605 No 0 No 0 No 0 No 0 No 0 No 0 Yes 9962 No 0 No 0 No 0 Yes 8193 Yes 7513 No 0 No 0 No 0 No 0 No 0 Yes 9260 Yes 9448 No 0 Yes 7342 No 0 No 0 Yes 3657 Yes 2411 No 0 No 0 No 0 No 0 Yes 7698 No 0 Yes 2483 No 0 No 0 Yes 4547 Yes 6171 Yes 7402 Yes 7470 No 0 No 0 No 0 No 0 No 0 No 0 No 0 No 0 No 0 Yes 7986 Yes 6694 Yes 5072 No 0 Yes 5483 Yes 4880 No 0 No 0 No 0 No 0 Yes 6734 No 0 Yes 5086 No 0 Yes 7506 No 0 No 0 Yes 6647 Yes 6391 No 0 No 0 Yes 5879 No 0 Yes 7666 Yes 8322 Yes 8247 Yes 5127 No 0 Yes 5270 No 0 Yes 2780 Yes 7047 Yes 9456 No 0 Yes 8246 No 0 No 0 Yes 7695 No 0 No 0 No 0 No 0 Yes 6568 No 0 No 0 Yes 15853 Yes 2622 No 0 No 0 No 0 No 0 Yes 5059 Yes 8556 Yes 1825 No 0 Yes 3847 Yes 3763 Yes 6564 No 0 Yes 4620 No 0 No 0 Yes 6627 No 0 Yes 7485 Yes 5935 No 0 No 0 Yes 2895 Yes 12360 No 0 No 0 No 0 No 0 No 0 No 0 No 0 No 0 No 0 No 0 No 0 No 0 No 0 Yes 5962 Yes 7592 Yes 7156 No 0 No 0 No 0 No 0 No 0 Yes 5400 Yes 6989 No 0 No 0 No 0 Yes 9653 No 0 Yes 9147 No 0 Yes 5521 No 0 Yes 13651 Yes 7112 Yes 5391 No 0 No 0 No 0 No 0 Yes 8901 Yes 4902 Yes 5909 No 0 Yes 7290 No 0 No 0 No 0 Yes 8606 No 0 No 0 No 0 Yes 8716 Yes 5203 Yes 4165 Yes 6364 No 0 Yes 2702

Explanation / Answer

a.
given that,
sample data on smoking habits of russians that are consistent with those analyze possibile chances (x)=134
sample size(n)=300
point of estimate = success rate ( p )= x/n = 0.4467
sample proportion = 0.4467

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b.
We have considered a annual consumption number of cigarettes for smokers list within 120 members,

sample mean, x =6965
standard deviation, s =3071.8
sample size, n =120
level of significance, = 0.05
from standard normal table, two tailed value of |t /2| with n-1 = 119 d.f is 1.98
we use CI = x ± t a/2 * (sd/ Sqrt(n))
where,
x = mean
sd = standard deviation
a = 1 - (confidence level/100)
ta/2 = t-table value
CI = confidence interval
confidence interval = [ 6965 ± t a/2 ( 3071.8/ Sqrt ( 120) ]
= [ 6965-(1.98 * 280.416) , 6965+(1.98 * 280.416) ]
= [ 6409.777 , 7520.223 ]

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c.

estimate the number of cigarettes smoked per year will be = mean rate of cigarettes per year = 6965

when considered for a single day = 6965/365 = 19.082 ~ 19 cigarettes per a day

Annual Consumption Number of Cigarettes count 120 mean 6,965.00 sample variance 94,35,968.22 sample standard deviation 3,071.80 minimum 1825 maximum 18049 range 16224

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