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In a study of student loan subsidies, the Department of Education reported that four-year Stafford Loan borrowers will owe an average of $12,168 upon graduation (USA Today, April 5, 1995). Assume th
Each unit of A weighs 5 kg and each unit of B weighs 10 kg. How many units of each type of raw material
Six pairs of data (n = 6) yield r = 0.789 and the regression equation y-cap = 4x - 2. Also, the average of the y values = 19.0. What is the best predicted value of y for x = 5?
a gambler goes to the local casino and observes the action at the craps table for 100 throws of the dice. He notices that 21 of the throws come up 7. State the null and alternative hypothesis, and f
In a particular February, the mean cost for an airline round-trip with a discount fare was $258. A random sample of 15 round-trip discount fares during the month of March provided the following data
A box contains four 40-W bulbs, five 6-W bulbs and six 70-W bulbs, if three bulbs are selected without replacement randomly. What is the probabilty that three are 70-W bulbs?
Some problems are asking about a subset of the population, these are conditional probability problems. What is the one word that tells you that you have a conditional probability problem?
A random sample of 84 bulbs was burned out with a mean illumination life span of 1870 hours and with a sample standard deviation of 90 hours. With a 0.05 level of significance, is the sample mean le
Residents on the basis of the sample data with α=0.05. Establish the Null and alternative hypothesis, and choose the right test statistics. NO need to carry out the test.
There were 3 defectives in the first batch and 5 in the second. The 90% confidence interval for the difference in the two proportions is (-0.493, 0.159). What conclusion should I make about the two
In 35 of their stores, they sold, on the average, 430 suits per year with a population standard deviation of 40. What is the test value for their claim?
Samples of the three different brands show the following milligrams of sodium. At α = 0.05, is there a difference in the mount of sodium among the brands? Do not assume normality.
At infinity of .13, is there enough evidence to support the administrators claim? Find the standardized test statistic z and it corresponding area.
A study was conducted to estimate the mean amount spent on birthday gifts for a typical family having two children. A sample of 170 was taken, and the mean amount spent was $248.72. Assuming a stand
Imagine there are exactly m opportunities to cross safely by the time the nth shock occurs. What is the probability that the mth opportunity is a close call (that it occurs immediately before the nt
college statistics class finds 54% of 450 randomly selected voters are in support. Both groups will create 95% confidence intervals.Which group concludes that the outcome is too close to call? Why?
What is the PDF of the amount of time before the first failure of either battery brand? What is the expected value of the time until the third Brand B battery fails? What is the variance of that time?
A sample survey interviews an SRS of 265 college women. Suppose (as is roughly true) that 71% of all college women have been on a diet within the past 12 months. Using Normal approximation, wh
The Niko electronics company just manufactured 5000 CDs, and 3% are defective. If 10 of these CDs are randomly selectedd for testing, what is the proability tha the entire batch is will be rejected
Telephone calls arrive at a switchboard in a Poisson process at the rate of 2 per minute. Given that there were 90 calls in an hour, what is the probability that 10 were long distance?
The gestation time for humans has a mean of 266 days and a standard deviation of 25 days. If 100 women are randomly selected, find the probability that they have a mean pregnancy between 266 days an
With a major expansion planned, Judy projects sales next year to increase to 1,200 radials. What will the demand be each season? Please show work (formulas).
Is there evidence of a difference in the variability of the waiting time between the two branches? (Use 5% level of significance).
A feed company is developing a feed supplement from two grains A and B. Each kilogram of A contains 0.3 grams of protein and 0.2 grams of carbohydrates. Write out the objective cost function.
What is the probability that a fully loaded truck of this model is (a) less than 6 tons, (b) more than 7 tons, (c) between 6 and 7 tons?