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A random sample of 168 students was asked how many songs were in their digital music li- brary and what fraction of them was legally purchased. Overall, they reported having a total of 117,079 songs, of which 23.1% were legal. The music industry would like a good estimate of the proportion of songs in students' digi- tal music libraries that are legal.
a) Think carefully. What is the parameter being estimated? What is the population? What is the sample size?
b) Check the conditions for making a confidence interval.
c) Construct a 95% confidence interval for the fraction of legal digital music.
d) Explain what this interval means. Do you believe that you can be this confident about your result? Why or why not?
The hypothesis test produces a z-score of z = 2.37. Assuming that the researcher is using a two-tailed test, what decision should be made?
in a certain noisy factory workers are provided with earplugs and are expected to wear them. an industrial hygienist
Using the information provided in part (d) would you be surprised if a sample of 50 differences collected in this way resulted in a higher mean number of unpopped kernels for the store brand than for the name brand?
Critically discuss the probability that more than 175 cable households rate cable companies as good or excellent in quality transmissions?
You will undertake an analysis based on a self-designed fictitious study that utilizes statistical methodologies. You will first develop a fictitious problem to examine - it can be anything. For example, maybe you want to look at whether scores on..
A study shows that employees that begin their work day at 9:00 a.m. vary their times of arrival uniformly from 8:40 a.m. to 9:30 a.m. The probability that a randomly chosen employee reports to work between 9:00 and 9:10 is?
Describe how to draw the sample as a cluster random sample, using flights as the cluster. Describe how to draw the sample as a systematic sample from these flights.
12 mature citrus trees of one variety and 15 of another gave means and standard deviations of their heights as 13.8 and 12.9 ft (means), and 1.2 and 1.5 ft (standard deviations).
Sketch the areas under the standard normal curve over the indicated intervals, and find the specified areas.
five students performed a kjeldahl nitrogen analysis of a protein sample. the following weight nitrogen values were
1. Assume the speed of vehicles along a stretch of I-10 has an approximately normal distribution with a mean of 71 mph and a standard deviation of 8 mph.
Calculate the mean number and median number of apples in a bag.
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