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Childhood participation in sports, cultural groups, and youth groups seems to be associated to improved self-esteem for adolescents (McGee, Williams, Howden-Chapman, Martin, & Kawachi, 2006). In the representative study, sample of n = 100 adolescents with history of group participation is given standardized self-esteem questionnaire. For general population of adolescents, scores on this questionnaire form normal distribution with mean of µ = 40 and standard deviation of σ = 12. Sample of group-participation adolescents had average of M = 43.84. Does this sample give sufficient evidence to conclude that self-esteem scores for group-participation adolescents are significantly different from those of general population? Use two-tailed test with α = .01.
Test hypothesis that mean weight of 2 sheets are equal against alternative that they are not(suppose equal variances). Use α=0.05 and suppose equal variances. Determine the P value.
Assume the population is normally distributed, the confidence level is 95%, n = 12, and σ is unknown.
The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime? Describe your re..
Based on the equation of the least-squares line, we use software to predict the average number of home runs hit per game per team for the year 2001. We obtain the following.
Powers Tire Company (Which specializes in tires for vehicles ca. 1965) needs your expertise to help them schedule over the next three months. They can make tires using regular labor, or subcontracting.
The registrar of a college with a population of N=4,000 full-time students is asked by the president to conduct a survey to measure satisfaction with the quality of life on campus.
The weights of dormitory cockroaches follow a normal distribution. 14% of the dormitory cockroaches weigh below 77 grams and 10% of them weigh above 82 grams. Find the mean and standard deviation of their weights.
A professor is targeting a score of 80 on an exam. His forty-nine students averaged 78 on an exam with s = 7. Are the scores significantly less than 80 at a significance level of 0.05? Show your work and state the conclusion.
What is the value of the population mean? What is the best estimate of this value?
Consider the following estimated regression equation, based on 10 observations.
Set-up/solve the problem graphically. (How many ceiling fans and how many floor fans should be made?)
Average number of mosquitoes in pond is 80 per square meter with a standard deviation of 12. If 16 square meters are choses at random for a mosquiot count, find probabilty that the average of those counts is more than 83.0 mosquitoes per square me..
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