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Four research participants take a test of manual dexterity (high scores mean better dexterity) and an anxietyl test (high scores mean more anxiety). The score are as follows.
Octavio scores 10 points above the clas mean on the midterm. How many points above the class mean do you predict that he will score on the final. (Hint: what is the predicted final-exam score for th
A particular telephone number is used to receive both voice calls and fax messages. Suppose that 25% of the incoming calls involve fax messages, and consider a sample of 25 incoming calls. (Round yo
An electrical transmission tower is subjected to loads X and Y. The mean and standard deviation of X are 100 and 20. The mean and standard deviation of Y are 200 and 50. The correlation coefficient
A card is drawn at random from an ordinary deck of 52 playing cards. There are 4 suits: hearts, spades, diamonds and clubs. Denote these by the letters {H, S, D, C}. In each suit, there are 13 cards
A resort tracks the number of days eaach guest stays. They've discovered that this variable is normally distributed with a mean of 9 days and a standard deviation of 3. They would expect 10% of the
The probability for which a decision maker cannot choose between a certain amount and a lottery based on that probability is
Draw a scatter plot for armspan and height (use the same scale on both axes). Describe the relationship between the two variables. Calcuate the correlation coefficient relating armspan and height
Those controller that fail the second test are reworked the second time and retested; 90% of them pass and the test are scrapped. Define Y to be the number of rework cycles for a randomly chosen con
A manufacturer of disk controllers subjects each new controllers to rigorous testing. Of newly assembled controllers, 84% pass the test with no rework. Controller that fail the initial test are rewo
The probability that a coin has to land Heads is unknown, say p, where p is some number in [0,1]. Let X be a random variable that takes the value 1 if the coin lands Heads and 0 if the coin lands T
The probability that a coin has to land Heads is unknown, say p, where p is some number in [0,1]. Let X be a random variable that takes the value 1 if the coin lands Heads and 0 if the coin lands Ta
Let Y be a random variable with a density function given by
Five cards are independently and randomly picked from a standard 52 card deck and each card is recorded in sequence. Each card that is picked is then put back in the deck, so it is possible to recor
Suppose a fair six-sided die is tossed and the outcome x recorded. Toss the die x more times and record the smallest number tossed, say y. Then toss the die y times again and record the largest numb
Suppose scores on a midterm and a ?nal exam have a bivariate normal distribution. The correlation between midterm scores and final exam scores is 0.6.
The distribution of IQ scores is a nonstandard normal distribution with a mean of 100 and a standard deviation of 15. What are the value of the mean and standard deviation after all IQ scores have b
A survey found that women's heights are normally distributed with mean 63.6 in and standard deviation 2.5 in. A branch of the military requires women's heights to be between 58 in and 80 in. Find t
Physicians want to select a minimum temperature for requiring further medical tests. What should that temperature be, if we want only 5.0% of healthy people to exceed it? (Such a result is a false p
Assume the readings on thermometers are normally distributed with a mean of 0*C and a standard deviation of 100*C. Find the probability P(-2.12<z<2.12), where z is in the reading in degrees.
What percent of the Ford Super Duty F-750s logged 65,200 miles or more? What percent of the trucks logged more than 57,060 but less than 58,280 miles? What percent of the Fords traveled 62,000 miles o
Write a brief scenario of a real world issue using a one-way analysis of variance (ANOVA) that includes clearly identified independent and dependent variables, the number of levels of the independen
Display the sampling distribution for the sample mean when sampling without replacement and use it to calculate the EV and standard deviation.
Assume the readings on thermometers are normally distributed with a mean 0*C and a standard deviation of 1.00*C. Find the probability that a randomly selected thermometer reads less than 0.14
A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 49.0 and 59.0 minutes.