Question

In: Statistics and Probability

Russia has recently started a push for stronger smoking regulations much like those in western countries concerning cigarette advertising, smoking in public places, etc.

 

 

Russia has recently started a push for stronger smoking regulations much like those in western countries concerning cigarette advertising, smoking in public places, etc. The datafile named Russia contains sample data on smoking habits of Russians that are consistent with those reported by The Wall Street Journal (The Wall Street Journal, October 16, 2012). Analyze the data using Excel and answer the following questions. Click on the datafile logo to reference the data.

a. Develop a point estimate and a 95% confidence interval for the proportion of Russians who smoke. Round point estimate to two decimals and confidence interval to four decimal places.

Point estimate  
Confidence interval ____ to _____

b. Develop a point estimate and a 95% confidence interval for the mean annual per capita consumption (number of cigarettes) of a Russian. If required, round your answers to nearest whole value.

Point estimate  
Confidence interval ______to______

c. For those Russians who do smoke, estimate the number of cigarettes smoked per day. If required, round your answer to nearest whole value.

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

Solutions

Expert Solution

a)

Answer:

point estimate = 0.40

95% Confidence interval = (0.3446, 0.4554)

Explanation:

The confidence interval for the proportion is obtained using the formula,

Where the point estimated for the proportion of Russians who smoke and the z critical value for a 95% confidence interval is obtained in excel. The screenshot is shown below,

b)

Answer:

Point estimate = 6965

Explanation:

First, sort the data values according to the Smoker.

In excel > Select all the data values then DATA > Sort > Sort by: Smoker, Sort On: Values, Order: A to Z > OK. The screenshot is shown below,

Now write the data values in a separate column.

95% confidence interval

95% confidence interval for the mean annual per capita consumption (number of cigarettes) of a Russian is obtained using the following formula,

The mean, standard deviation, and t critical values are obtained in excel. The screenshot is shown below,

c)


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