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1. The Young Republicans Club asked its members how many hours they had worked during the previous week in part-time jobs. The following data lists the number of hours spent working during the previous week.
6 6 6 4 6 6 9 8 7 3 7 86 7 6 7 7 6 6 8 6 7 8 4
a. From these data round the relative frequencies to three decimal places.
Would you play this game if you wanted to make money? What do we expert the value of the results of the game to be?
Arrivals tend to follow the Poisson distribution, and service times are exponentially distributed. What is the probability that the shop is empty?
Make a graph to visualize the problem and state, without doing the calculations, whether the p-value of the test
An auditor reviewed 25 oral surgery insurance claims from a particular surgical office, determining that the mean out-of-pocket patient billing above the reimbursed amount was $275.66 with a standard deviation of $78.11.
If we fit the least-squares line to the 12 data points (one for each month) we obtain the following results from a software package. Notice that temperature is taken as the explanatory variable and crawling age as the response.
What the information do z-scores give that actual heights do no?
Suppose we have a population of scores with a mean (μ) of 975 and a standard deviation (σ) of 15. Assume that the distribution is normal. What percentage of the population will lie between 960 and 990?
Use the Earthquake magnitude scale to answer how much energy in joules was released by the 2008 Earthquake in Sichuan China (magnitude 7.9) which killed 68,000 people.
The probability of Toyota building a new production plant is 70% and the probability of GM building a new one is 50%. The following are the probabilities associated with the countries Toyota would build a new plant:
Assume that the population is normally distributed. Can we conclude, at the level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from months?
A sample of 64 statistics students at a small college had a mean mathematics ACT score of 28 with a standard deviation of 4. Estimate the mean mathematics ACT score for all statistics students at this college. Give the 95% confidence interval.
Can you give a general rule as to what happens with confidence intervals as a function of sample sizes and confidence levels? What are the trade-offs?
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