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(a) How many capsules should a box of amoxicillin antibiotic contain? Medical research claims that 8 days of treatment with 3 tablets each day should be sufficient to kill all pathogenic bacteria. Suppose a random sample of 100 patients revealed that 10 of them have experienced relapses (i.e., not all bacteria killed and disease returned). If the alternative hypothesis is that more than 24 tablets would be required to kill all the bacteria, should the null hypothesis be rejected at α = 0.05?
(b) A manager of a firm wanted to determine if the mean daily car rental rates in Sydney is higher than that of Melbourne. He conducted a survey of 15 car rental companies in Sydney and found a sample mean of $89 and a sample standard deviation of $13. Similar survey of 12 car rental companies in Melbourne yielded a sample mean of $76 and sample standard deviation of $19. Use α = 0.01 to test whether the average daily car rental rates in Sydney is significantly higher than that in Melbourne. Assume car rental rates are normally distributed and the population variances are equal.
one class of 40 students complain that they were harshly graded in the examination as l0 students received A or B ; 17 received a C ; and the rest received a D or lower. QUESTION: Is the class's complain about harsher grading justified? ( use a : 0..
at a certain gas station 70 of the customers use regular-grade unleaded gas and 30 use higher-grade unleaded gas. it is
In a large department store a customer complaints office handles an average of six complaints per hour about the quality of service.
Pepsi wants to use this technique to determine if they should bid for an exclusivity agreement with NCSU. Such an agreement would bind NCSU to sell Pepsi soft drink products exclusively on campus.
Explain carefully why this makes sense, using the fact that a much higher percentage of Nebraska eighth-graders are white.
the lifespan of a particular brand of light bulb is normally distributed with a mean life of 400 h and a standard
Suppose that 80% of all batteries have acceptable voltages, and let y denote the number of batteries that must be tested. What is p(2), that is, P(y=2).
Conduct a test for equality of means using α = 0.05 and provide a 95% confidence interval for the average savings per beer for a visitor versus the amount paid at home in London.
Create a 95% confidence interval for the effectiveness of this drug.- Interpret your interval in context.- Explain carefully what 95% confidence means in this context.
Read the data from the fictitious research study regarding diabetes and alcohol consumption, and analyze and interpret the results.
What is the probability that the number of heads is equal to the sum of the numbers showing on the two dice?
Commuter ridership in Athens, Greece, during the summer months is believed to be heavily tied to the number of tourists visiting the city.
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