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According to the College Board's report, the average tuition and fees at four year private colleges and universities in the United States was $18,273 for the academic year 2002 - 2003 and the standard deviation was $2100. For a random sample of 100 four year private U.S. colleges, answer the following:
a. What is the mean of the sampling distribution?
b. What is the standard deviation of the sampling distribution?
c. What is the probability that the mean tuition and fees of the sample is greater than $20,000?
d. What is the probability that the mean tuition and fees of the sample is less than $16,000?
e. What is the probability that the mean tuition and fees of the sample is within $550 of the population mean?
Computing the Z scores for the given data and evaluate µ and σ for the population.
The quality control department of Widgets Manufacturing needs your help. They can't decide which significance level is appropriate for testing the claim that fewer than 50% of widgets from a production run are defective.
Which test do we use to see if the difference in our sample is statistically significant? Why? Should it be one or two-tailed?
Expireall Corporation is in finishing business. The following data took place during September: The standard cost card indicates that 2.0 feet are used in the production of each unit. The standard cost of each material is $4.50 per foot.
Estimated the probability that among 75 randomly selected students, at least 20 of them score greater than 78.
In exercise identify (a) sample and (b) population. Also, find whether sample is likely to be representative of population.
What can we conclude from these figures at a level of significance of .01?
The main purpose of this exercise is to check your understanding of significance level, p-values and power .
What fraction of the calls last between 4.2 and 5 minutes?
If measurements are made over span of 9 months, and results are averaged, find out the probability that neighbourhood is considered unsafe?
Can we conclude at the 5% significance level that the population mean weight of athletic men is lower than the population mean weight of non-athletic men?
To find out the estimate of between and within treatments.Samples were selected from 3 populations. The data obtained follow.
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