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PROBLEM 1: Conduct a one-tailed hypothesis test given the information below. A certain brand of fluorescent light tube was advertised as having an effective life span before burning out of 4000 hours. 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 less than the advertised mean?
To determine monthly rental prices of apartment units in San Francisco Bay area, samples were constructed in the following ways. Identify the technique used to produce each sample. (cluster, convenience, random, stratified, systematic):
Discuss the concept of statistical significance, including your understanding of what it means, why it is important, and how it can be used.
For a population containing N=902 individuals, what code number would you assign for:
(a) Consider a normal distribution with mean μ = 88. If 2% of the values lie below x = 50, find the standard deviation σ. (b) Consider a normal distribution with standard deviation σ = 15.6. If 10% of the values lie above x = 17.2, find the mean μ.
If 1000 men and 1000 women are to be interviewed, how accurately could you estimate the difference in the proportions who think that the performance of their atheltics teams has a positive impact on the perceived prestige of the institutions? Find..
A civil service exam is given to 200 job applicants. In recent years, grades have followed a normal distribution with mean 66.5 and variance 100. The grades of the job applicants are distributed as follows:
A manufacturer claims that the mean lifetime, mean, of its light bulbs is 52 months. The standard deviation of these lifetimes is 7 months. Ninety bulbs are selected at random, and their mean lifetime is found to be 55 months.
According to the historical data, the life expectancy in Argentina is equal to the life expectancy in Bolivia. A new study has been made to see whether this has changed.
Based on your answers to a through d, decide whether or not to reject the null hypothesis at the given significance level. Explain your conclusion in the context of the problem.
A sample of 70 orders revealed that 57 were delivered in promised time. At .02 significance level, can we conclude that less than 87 percent of orders are delivered in less than 10 minutes?
The average weight of adult men is 172 pounds with a standard deviation of 29 pounds. 30 men were asked their weight and the mean was calculated to be 181, test the hypothesis that the mean is not 172 pounds using alpha = .05.
The strength of the linear relationship between two numerical variables may be measured by the
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