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An instant lottery ticket costs $2. Out of a total of 10,000 tickets printed for this lottery, 1000 tickets contain a prize of $5 each, 100 tickets have a prize of $10 each, 5 tickets have a prize of $1000 each, and 1 ticket has a prize of $5000. Let x be the random variable that denotes the net amount a playr wins by playing this lottery. Write the probablity distribution of x. Determine the mean and standard deviation of x. How will you interpret the values of the mean and standard deviation of x?
An experiment was carried out to assess the effects of four tomato varieties and four planting densities on yield. There were 64 plots, and each of the 16 factor combinations was randomly assigned to 4 plots. A partial ANOVA table
What is Peter's median grade point at graduation? What is the shape of the grade point distribution?
How many of these new cardholders would you expect to default? What is the standard deviation?
Testing for two Proportions - Is the difference between the averages statistically significant?
Describe a business situation that you have had or might face that will benefit from the use of confidence intervals?
Produce the scatter plot for sodium and bp. Do you think there are any outliers?
Compute the indicated confidence interval for the differenciate in proportions. Suppose that the samples are independent and that they have been randomly selected.
A study was recently done in which 500 people were asked to point out their choices for one of three products. Following table illustrates the breakdown of responses by gender of the respondents.
Determine a 95 % confidence interval for the iron concentration.
If we fit the least-squares line to the 12 data points (one for each month) we obtain the following results from a software package. Notice that temperature is taken as the explanatory variable and crawling age as the response.
A university found that 20 percent of its students withdraw without completing the introductory statistics course. 20 students registered for a section of the course this term.
Find the probability using the Poisson distribution.
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