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The IQs of 600 applicants of a certain college are approximately normally distributed with a mean of 115 and a standard deviation of 12. If the college requires an IQ of at least 95, how many of th
The length of time between breakdowns of an essential piece of equipment is important in the decision of the use of auxiliary equipment. An engineer thinks that the best "model" for time between bre
The loaves of rye bread distributed to local stores by a certain bakery have an average length of 30 centimeters and a standard deviation of 2 centimeters. Assuming that the lengths are normally dis
The number of automobiles that arrive at a certain intersection per minute has a Poisson distribution with a mean of 5. Interest centers around the time that elapses before 10 automobiles appear at
Assume the population proportion is p= .25. Show the sampling distribution of pbar, the proportion of late flights in a sample of 1000 flights.
A fair coin is repetitively tossed 2N times, (N is very large). What is the probability for the number of heads to be in the interval [N-(N/2)^.5 , N+(N/2)^.5]?
Consider a data set in which all observations are equal. Find the range, variance and standard deviation for this data set.
Provide a 95% confidence interval for the population proportion of college students who work to pay for tuition and living expenses.
A company manufactures a batteries in batches of 20 and there is a 3 % rate of defects find the mean and standard deviation for the random variable x, the number of defects per batch.
Assume it costs $50 per student for the administrators to provide the course materials. How many students would have to register for the seminar for the university to break even?
Assume the population proportion for a presidential candidate is p=.50. Let p be the sample proportion likely voters favoring the presidential candidate. Show the sampling distribution of p
A normal distribution has a mean of m = 80 with s = 20. What score separates the lowest 30% of the distribution from the rest of the scores?
The average price of a gallon of unleaded regular gasoline was reported to be $3.13 in Illinois. Use this price as the population mean, and assume the population standard deviation is $.20.
All three classes took the same physics test. the mean score for the three class were 75, 71, and 78. Can the mean score for all tenth grade students be found by taking the mean of 75, 71 and 78
A researcher obtains an F-ratio with df = 2, 36 from an independent-measures research study. What is the total number of individuals who participated in the study?
What is the probability that the mean price for a sample of 30 service stations is within $.03 of the population mean?
For repeated random samples of three bottles, what is the variation in the number of bottles out of three that have less than 12 ounces?
A new grug had a potency advertised at 75%. Given the following smaple data. Check manufacturer's claim of 775% potency at alpha = .05 (one tail). Make a 90% confidence interval.
A life insurance company wants to update its actuarial tables. Assume that the probability distribution of the lifetimes of the participants is approximately a normal distribution with a mean of 71
find the three missing frequencies of the table, given that median=33.5 , and mode = 34. Also calculate the mean using the empirical relationship between mean, median and mode.
Question: Test the claim that 14% of a candy makers candies are red. Use a 0.05 significance and the table to answer the following questions: A: what is the test statistic B: What is the z-value
Management is considering placing a new hire in an upper level management position if the person scores in the upper 6 percent of the distribution. What is the lowest score a college graduate must e
For some types of plants, when plants with different colored flowers are crossbred, one color does not dominate over the other.
An insurance company wants to determine if their clients now have a longer life expectancy, on average, so they randomly sample 20 of their recently paid policies. The sample has a mean of 78.6 yea
Let X represent the number that occurs when a green die is tossed and Y the number that occurs when a red die is tossed. What is the variance of the random variable X-2Y?