[12] The file Shadow02 contains information for 25 of the shadow stocks tracked by the American Association of Individual Investors. Shadow stocks are common stocks of smaller companies that are not closely followed by Wall Street analysts.
[1] How many variables are in the data set?
[2] Which of the variables are categorical and which are quantitative?
[4] For the Exchange variable, show the frequency and the percent frequency for AMEX, NYSE, and OTC. Construct a bar graph for the Exchange variable. Use Excel for this question. Include only the appropriate output in your answer here:
[4] Construct a frequency distribution and histogram for the Gross Profit Margin.
e. [1] Describe the distribution of the Gross Profit Margin.
[30] A sample of 25 days was taken and the number of cars that arrived at Tim Horton’s checkout during a given period was determined.
[6] Use Minitab to develop a stem-and-leaf diagram. (1) explain what the numbers represent in each of the three columns;, (2) explain what the bracketed (5) number represents; and (3) determine the mode from the chart
[5] Use Excel to develop a boxplot. Are there any outliers? Identify the plot parts.
[4] Calculate the lower and upper limits for the data set beyond which there would be outliers in a boxplot.
[4] Develop a 97% confidence interval for the proportion of days with more than 40 cars. (Include formula, substitutions, calculations & statement.) Include a statement.
[4] The margin of error in the last part is too great. What sample size would be needed to achieve a margin of error of 10%? Use both the pilot study and worst case scenario.
[4] Develop a 95% confidence interval for the mean number of cars. (Include formula, substitutions, calculations & statement.)
[3] What sample size in the 95% CI on the mean would be needed to achieve a margin of error of +/- 5 cars?
[12] In a recent poll of 1000 Nova Scotians, 37.3% use a meal kit home delivery service (e.g. Hello Fresh, Chefs Plate). It is believed that the true proportion of all Nova Scotians using meal kit home delivery services is 35%.
[5] What is the probability that the sample proportion of Nova Scotians using meal kit home delivery services in a random sample of 1000 would be within 3% of the population proportion.
[5]What is the probability that in a random sample of 1000 Nova Scotians, 37.3% or more use a meal kit home delivery service?
[2] Given that the statistic in b) was actually observed, do you believe there is evidence that the true proportion of Nova Scotians meal kit home delivery services has increased?
[12] The basic materials stock sector, comprised of companies specializing in industrial commodities, had a very poor showing during the first six months of 2000. The average stock price in this sector was down an average of 27% for this period. Assume that the returns were distributed as a normal random variable with a mean of -27% and a standard deviation of 15%.
[3] If an individual stock were selected from this population, what is the probability that it would have a return of between -37 and -17%?
[3] If an individual stock were selected from this population, what is the probability that it would have made a profit – i.e. a return greater than 0.0%?
[3] If random samples, of 10 stocks were selected from this population. What proportion of the samples would have a mean return of between -37% and -17%?
