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The archeological site of Tara is more than 4000 years old. Tradition states that Tara was the seat of the high kings of Ireland, because of its archeological importance, Tara has received extensive study (Reference Tara: an Archeological survey by Conor Newman, Royal Irish Academy, Dublin). Suppose an archeologist wants to estimate the density of ferromagnetic artifacts in the Tara region. For this purpose, a random sample of 55 plots, each of size 100 square meters, is used. The number of ferromagnetic artifacts for each plot is determined. The variable in this information is number of ferromagnetic artifacts per 100 square meters.
An analyst working at BC Statistics is compiling a report on the use of the internet at home. In 1997, 250 randomly selected people were asked about the average amount of time spent on the internet per week.
For each sample, carry out a Z test using the five steps hypothesis testing with a two-tailed test at the .05 significance level, and make a drawing of the distributions involved.
Identify the null hypothesis, alternative hypothesis, test statistic, P-value and conclusion about the null hypothesis. Use the P-value method.
An experiment consists of selecting a card at random from a 52-card deck. Refer to this experiment and find the probability of the event.
Give an example using either completing the square or the quadratic formula and explain each step as if you were teaching someone who had never used the method before.
Prediction equation is y^ = 30 + 0:60x. Determine predicted final exam score for student who has (i) midterm score = 100, (ii) midterm score = 50. Note that predicted nal exam score regresses toward mean.
Run an ANOVA using only groups 1 to 6 (You can hide group 7 from the analysis by data followed by select cases and then you filter out group 7 by if GROUP~= ). Also run the posthoc tests LSD and Bonferroni.
Use a 0.01 significance level to test the claim that the selection process is biased against Americans of Mexican ancestry. Does the jury selection system appear to be fair?
When a researcher has two samples with two means, one of the assumptions for two samples is independence of between the two samples. What does this mean? What happens if the independence assumption is violated?
Toledo, OH has been experiencing improved economic growth following huge capital investments from companies like Chrysler. You have just been hired by RGP, an agency for facilitating business expansion and location in the Toledo metropolitan area.
A researcher is interested in determining the partial correlation between age (X) and attitude towards interracial marriage (X), controlling for place of residence (rural or urban) (W).
A U.S. Travel Data Center survey of 1500 adults found that 42% of respondents stated that they favor historical sites as vacations. Find the 99% confidence interval of the true proportion of adults who favor visiting historical sites as vacations.
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