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For the following independent random samples, use the z-test and the 0.01 level of significance in testing Ho:u1 = u2 versus H1:u1 = u2.
x1 = 33.5 s1 = 6.4 n1 = 31
x2 = 27.6 s2 = 2.7 n2 = 30
2. The manager's assistant, who created a new brochure, randomly selects 400 current customers, then randomly chooses 200 to receive the standard brochure that has been used in the past, with the other 200 receiving the promising new brochure that he has developed. Of those receiving the standard brochure, 35% call for more information about the counseling session, while 42% of those receiving the new brochure call for more information. Using the 0.10 level of significance, is it possible that the superior performance of the new brochure was just due to chance and that the new brochure might really be no better than the old one?
How large a sample is required to estimate the mean speed with a margin of error equal to 2 miles per hour with 90% confidence?
Determine the proportion of variation in grade that can be explained by the linear correlation between the grade and the number of credit hours earned at the same time of taking the course.
Assume that 60 percent of the voters in a particular region support a candidate. Find the probability that a sample of 1,000 voters will yield a sample proportion in favor of the candidate within 4 percentage points of the actual proportion.
Suppose Abraham Lincoln had answered a survey questionnaire in which he indicated that he had not received a grade school diploma. The researcher found that Lincoln's educational score did not correlate with the expected variables. What was wrong?
Expectation and variance of a random variable and let X be a random variable with the following probability distribution:
Provided an example of a research problem at any organization that would benefit from the employ of either descriptive statistics or probability distribution statistics.
What is the probability that a U.S. user who downloads music, selected at random, obtained it from either the United States or Canada.
A sample of 20 is taken, resulting in a mean of 16.45 and standard deviation of 3.59. Assume that x is normally distributed and used alpha of 0.5 to test hypotheses.
A random sample of five accidents resulted in the following number of persons injured: 18, 15, 12, 19, & 21. Using the .01 significance level, can we conclude the population mean is less than 20 for all accidents?
A hypothesis test is to be used to help determine if there is a difference between the proportion of 2 year college students and private university students that work at least 20 hours per week.
Assume a random sample of 16 gasoline stations is selected and their mean cost for regular gasoline is computed. What is the standard error of the mean in this experiment?
Assume that the significance level is a= 0.1. Use the given information to find the p-value and the critical value (s). With H1: p = with line through it 1/2 the test statistic is z= - 1.35
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