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A car manufacturer claims that its vehicles average at least 25 miles per gallon, with a population standard deviation of 4. We take a sample of n=36 cars to test fuel efficiency, and with to perfo
In my class of 20 students, 7 are juniors, 11 are seniors, and 9 are senior biology majors. What is the probability of choosing a senior from this group?
What is the interpretation of the intercept in regressions 1 and 2? Is the intercept meaningful?
A quiz consists of 20 multiple-choice questions, each with 5 possible answers. For someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing gra
The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best rate with 80% of its flights arriving on time
The pairs are presented one at a time, for 4 seconds, cycling through the entire list, before the first pair is shown again. There are three levels of repetition: level 1, in which each pair is show
Suppose that the number of days of sick leave taken by employees has a distribution that is skewed right. Does this new information change your answer in (part a)? WHY?
A major U.S. automaker has determined that the city mileage for one of its new SUV models is normally distributed with a mean equal to 15.2 mpg. A report issued by the company indicated that 22 per
Calculate the probability that the flight will be more than 5 minutes early. Compute the average flight time between these two cities. Determine the variance in the flight times between these two citi
To test whether the new procedure actually results in a lower mean recovery time, the procedure was performed on a random sample of 36 patients and found a sample mean of 140.2 days. Conduct a hypot
To prevent underweight boxes, the manufacturer has to set the mean a little higher than 16.0 oz. Based on their experience with the packaging machine, the company believes that the amount of cereal
Using probability: How can you use probability to improve your chances of winning at a casino. Provide specific examples using concepts learned in this module.
Obtain the probability that the sampling error made in estimating the population mean length of stay of a sample of 80 patients will be at most 2 days.
If acceptable corks have diameters between 2.9 cm and 3.1 cm, compute the proportions of acceptable corks produced by M1 and M2. Answer for M1: , Answer for M2:
A random sample of 100 employees is to be taken and the mean number of days of sick leave taken is to be calculated. Find the approximate probability that the sample mean will have a value larger th
You may have noticed that when the gradient or drop off is steep, the grains of sand tend to be larger. In fact, a man made beach with "wrong" size of granules of sand tend to be washed away and eve
Professor Fair believes extra time does not improve grades on exams. He randomly divided a group of 300 students into two groups and gave them all the same test.
A student in a statistics class tossed a die 300 times and obtained the results shown in the table. Is the die fair? In other words does it fit a uniform distribution?
Cyclone Software Co. is trying to establish its optimal capital structure. Its current capital structure consists of 35% debt and 65% equity; however, the CEO believes the firm should use more debt.
Based on the cell phone usage data, what is the most economical individual plan?
The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 12.2 fluid ounces and a standard deviation of 0.3 fluid ounce. A drink is randomly s
Repair Costs: Computers In a random sample of 11 computers, the mean repair cost was $127.50 and the standard deviation was $38.75. Assume the repair cost is normally distributed.
If you decided to use either the t-distribution or the normal distribution in question 13, construct a 90% confidence interval for the population mean. If you decided that neither distribution could
Online Service Usage You are a travel agent and wish to estimate, with 97% confidence, the proportion of vacationers who use an online service or the internet to make travel reservations.
For your study on the food consumption habits of teenage males, you randomly select 10 teenage males and ask how many 12-ounce servings of soda he drinks each day. The results are listed below. at =