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Question: The SAT is required of most students applying for college admission in the United States. This standardized test has gone through many revisions over the years. In 2005, a new writing section was introduced that includes a direct writing measure in the form of an essay. People argue that female students generally do worse on math tests but better on writing tests. Therefore, the new section may help reduce the usual male lead on the overall average SAT score (The Washington Post, August 30, 2006). Consider the following scores on the writing component of the test of 8 male and 8 female students. The data can be found on the text website, labeled SAT Writing Component.
a. Construct the null and the alternative hypotheses to test if females outscore males on writing tests.
b. Compute the value of the test statistic. Do not assume that the population variances are equal.
c. Implement the test at α = 0.01 and interpret your results.
Perfect pitch. A recent study of perfect pitch tested students in American music conservatories. It found that 7% of 1700 non-Asian and 32% of 1000 Asian.
Suppose you know that the distribution of sample proportions of nonresidents in samples of 200 students is normal with a mean of 0.04 and a standard deviation of 0.03.
You want to know the average purchase volume per customer. You walk around the store asking the customers their order values.
Compute the estimated mean of the population (calculated as the mean of the sample means). Is your estimated population mean biased from the true population mean?
Based on this information, you should focus your new business on selling products that satisfy consumers':
It was reported that approximately 45% of all university professors are extroverted. Suppose you have classes with 6 different professors.
According to the United National Environmental Program and World Health Organization, in Mumbai, India, air pollution standards for particulate matter.
Finds that 3 contain errors. If the accountant's theory is correct, what is the probability that at least 3 invoices contain errors in a random sample of 10?
Explain the advantages and disadvantages of each analytic strategy.
When assigning probabilities of two simple events, can we assume that each event is always equally likely to occur and, thus assign .5 to each event?
Construct a scatterplot for the (x, y) values below, and answer the following questions. What would be the slope of this regression line?
a researcher reports that when groups of four children are randomly selected from a population of couples meeting
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