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The Connecticut Board of Education is concerned that first year female High school teachers are receiving lower salaries than their male counterparts. Two independent random samples have been selected 630 observations from population 1 (female high school teachers) and 610 from population 2 (male high school teachers). The sample means obtained are X1(bar)=$46 k and X2(bar)=$47 k. It is known from previous studies that the population variances are 4.1 and 5.0 respectively. Using a level of significance of .05, is there evidence that the first year female high school teachers are receiving lower salaries? Fully explain your answer.
A street performer approaches you to make a bet. He shows you three cards: one that is blue on both sides, one that is orange on both sides, and one that is blue on one side and orange on the other.
Is the sample a part of the population or the population apart of the sample? Why would researchers just not use the entire population to be more accurate? Can you give an example of a sample from a given population?
It is a striking fact that the first digits of numbers in legitimate records often follow a distribution known as Benford's Law, shown below.
In each of the following cases, decide whether or not a binomial distribution is an appropriate model, and give your reasons.
Imagine there are exactly m opportunities to cross safely by the time the nth shock occurs. What is the probability that the mth opportunity is a close call (that it occurs immediately before the nth shock).
At 0.05 level of significance, is there evidence that proportion of claims processed under this new system is higher than article reported for previous system?
An instructor claims the average time to take a statistics test is greater than 39 min. As, if a sample of 33 students took 43 min. is the instructor's claim true?
What is the probability that the number of granite selected for analysis is within 1 standard deviation of it means value.
Illustrate is the range of values for a coefficient of correlation. Illustrate degree of relationship do values of the correlation coefficient (r)with magnitudes close to 1.00 indicate.
Why are you no longer directly comparing sample means? How does using the F test - the analysis of variance (ANOVA) reduce your Type I error rate? What is the difference between a within-groups and a between-groups variance?
Employees of a local university have been classified according to gender and job type. The following table provides data about the employees.
Stanford Binet IQ scores have a mean of 100 and a standard deviation of 15. Albert Einstein reportedly had an IQ of 160. Convert Einstein's IQ score to a z score.
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