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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 =
You interview a random sample of 50 adults. The results of the survey show that 46% of the adults said they were more likely to buy a product when there are free samples. At a=0.01, can you reject t
Based on the information compute the confidence interval using the t-distribution 1. A tire manufacturer wishes to investigate the tread life of its tires. A sample of 20 tires driven 60,000 miles r
Let us say you took a random sample of n = 216 numerical entries from the file and r = 52 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in t
Based on the following information compute: Population mean Show your work
What is the variance of the random varible of ybar which is the mean of n=15 observations from small high schools? What is the standard deviation of the random variable ybar which is mean of n=15 obse
In a hypotheses of H0 : mu = 7 against the alternative Ha : mu < 7 from a normal population with known standard deviation sigma = 1 a sample of size 16 is taken and Z value calculated equals -1.
What is the (estimated) standard error of the mean? Produce a 95% confidence interval for the true mean percentage of ethanol in DWI arrestees.
A random sample of 20 sales at Suburban locations found a sample mean of $17, 236 and a sample standard deviation of $1,974. Test the researcher's belief at a 5% level of significance. What is your
An instructor believes that 20% or less of the students who finish a statistics course get an "A" grade. A sample of 90 students was taken and 25 of the students in the sample received an "A" grade.
The sample revealed a mean of 11.7 ounces and a sample standard deviation of 0.8 ounces. At a 1% level of significance, test to see if the mean of the population is at least 12 ounces. What is your