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The ABC battery company claims that their batteries last at least 100 hours, on average. Your experience with their batteries has been somewhat different, so you decide to conduct a test to see if the company's claim is true. You believe that the mean life is actually less than the 100 hours the company claims. You decide to collect data on the average battery life (in hours) of a random sample of n = 20 batteries. Some of the information related to the hypothesis test is presented below.
Test of H0: >= 100 versus H1: < 100 Sample mean 98.5 Std error of mean 0.777
Assuming the life length of batteries is normally distributed, what is the p-value associated with this test? Place your answer, rounded to 3 decimal places in the blank. For example, 0.0234 would be a legitimate entry.
A manufacturer of a new, less expensive type of light bulb claims that this product is very well made and even more reliable than the higher priced competitive light bulbs.
A dentist sees about fifteen new patients per month (the rest of her patients are repeats). She knows that on average, over the past year, about half of her patients have needed at least one filling on their first visit.
Assume that there are 10 pencils available of each color, and different children are allowed to choose the same color.
An instructor claims the average time to take a statistics test is more than 39 minutes. If a sample of 33 students took 43 minutes, is the instructor's claim true? Test at the 0.05 level.
The time between surface nish problems in a galvanizing process is exponentially distributed with a mean of 40 hours. A single plant operates three galvanizing lines that are assumed to operate independently.
A 5-card poker hand is said to be a full house if it consists of 3 cards of the same denomination and two other cards of the same denomination(of course,different from the first denomination). How many hands of full house are possible?
A hat contains three coins - one gold, one silver and one copper. You will select coins one at a time without replacement until you choose the gold coin. The outcome of interest is the sequence of coins that are selected during this process.
Carleton Chemical claims that they can produce more than 800 tons of meladone on average per week. A random sample of 36 weeks of production yields the following results.
What is the probability that an executive who speaks a foreign language has not traveled internationally?
A jar contains four white marbles, five red marbles, and six black marbles. If a marble were selected at random, what is the probability that it is white or black?
A recent study by Ohio State University (March 5, 2008) suggests that students with cell phones may take more risks than students that do not have cell phones.
Describe the meaning of a Nash Equilibrium when companies are competing with respect to price. Explain why is the equilibrium stable?
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