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At a certain university, 25% of students support the Green Party. Suppose we take samples of size 100 students and are interested in the population proportion of students who support the Green Part.a. What is the mean of the sampling distribution of the (sample proportion) (p^ )?b. What is the standard deviation of the (p^ )?c. Describe the sampling distribution of (p^ )d. Find the probability that that the sample mean proportion supporting the Green Party exceeds 0.30.e. Find the 95th percentile of sampling proportions
Here is a simple probability model for multiple-choice tests. Assume that each student has probability p of correctly answering the question chosen at random from universe of possible questions.
The manager of a package courier service believes that packages shipped at the end of the month are heavier than those shipped early in the month.
A consumer purchases 12 frozen chickens. What is the probability that the consumer will have more than 6 contaminated chickens?
A Company produces candy on a production line. When operating properly, the production process will produce an average of u=140 pounds of candy per hour with a standard deviation of o=20 pounds of candy per hour.
Using the information above, what total size sample would be necessary if we wanted to estimate the true proportion to within? 0.08 using 95% confidence?
The weight of a small Starbucks coffee is a random variable with a mean of 360 g and a standard deviation of 9 g. Use Excel to find the weight corresponding to each percentile of weight.
Duracell Ltd claim that the life of their batteries in motorised soft toys is approximately normally distributed with a mean of 102.9 hours and a standard deviation of 16.5 hours.
Salary information for a random sample of male and female employees of a large company is shown below.
A sample of 70 cut sheets yields a mean length of 12.14 feet. This sample will be used to obtain a 99% confidence interval for the mean length cut by machine.
For the experiment above, let X denote the number of hearts that are drawn. For this random variable, find its expected value and standard deviation.
The standard deviation of the distribution of means of change scores is 2.0 and the mean change score for the sample studied is an increase of 5.2. What is the t score?
Determine if the sample result indicates that the population variance is decreased from historical value of 0.35. At alpha = 1%, give values for test and critical statistics.
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