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The mean score of a college entrance test is 500, the standard deviation is 75 and the scores are normally distributed.
(a) What percent of the students scored below 320?
(b) What percent of the students scored between 400 and 525?
(c) Twenty percent of the students had a test score above what score?
Assume that the population is 0.55. Compute the standard error of the sample proportion for the following sample sizes:
In a particular region of Rhode Island, it is known that fisherman's trap on average of 32 pounds of lobster per day with a standard deviation of four pounds.
Find a 90% confidence interval for the mean decibel level µ for this type of transit vehicle.
Suppose that a researcher does a study to see how level of anxiety (A 1 = low, A 2 = medium, A 3 = high) is used to predict exam performance (Y).
Each year the local country club sponsors a tennis tournament. Play starts with 128 participants. During each round, half of the players are eliminated.
Give an example representing a discrete probability distribution and another example representing a continuous probability distribution. Explain why your choices are discrete and continuous.
Genzero Pharmaceuticals developed the following regression model based on time series data from the past 33 quarters, for one of its non-prescription cold remedies:
When we carry out a goodness of fit chi-square test, the expected frequencies are based on the alternative hypothesis
The probability of success for any trial of a binomial experiment is 25%. Find the probability that the proportion of successes in a sample of 500 is less that 22%. Repeat with a sample of 800. Repeat with a sample of 1,000.
You're interested in determining the volume of sales dollars necessary for the coming year to reach the break-even point. You've decided to break down the sales for the club into four categories, they are as follows:
At the 0.05 level of significance, is there evidence of a difference in the mean waiting times in the four locations? State your null and alternative hypotheses. (Note: while the small sample size could justify use of the non- parametric Kruskal-W..
Using your knowledge of infectious disease epidemiology, quantify the pattern of disease X in this group, i.e., what are the infectivity, pathogenicity, and virulence of disease X?
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