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Part A: There is an advantage in stating the hypothesis both in the null and in the alternative; it adds clarity to our thinking of what we are testing. Explain.
Part B: It is advantageous to develop a directional hypothesis whenever we are sure of the predicated direction. How would you justify this statement? Explain.
If we fit the least-squares line to the 12 data points (one for each month) we obtain the following results from a software package. Notice that temperature is taken as the explanatory variable and crawling age as the response.
In a test of a gender-selection method, 14 babies are born and 10 of them are girls. Find the number of different possible sequences of genders that are possible when 14 babies are born
Over the last year the absentee rate at a large corporation averaged 8.2 days absent with a standard deviation of 6 days. One department with 40 employees had an absentee rate of 12 days per employee.
A college would like to have an entering class of 1200 students. Because not all students who are offered admission accept, the college admits more than 1200 students.
Assume that a patient is believed to have one of two diseases, denoted by D1 and D2 with P(D1)=0.40 and P(D2)=0.60 and that medical research has determined the probability associated with each symptom that may accompany the diseases.
Many states are carefully considering steps that would help them collect sales taxes on items purchased through the Internet.
Assume that a 2005 poll of 1000 American voters found that 76% of Republicans favored ending the tax on dividend income, as did 42% of Democrats and 54% of Independents.
The weight of a product is normally distributed with a mean of four ounces and a variance of .25 "squared ounces." What is the probability that the randomly selected unit from a recently manufactured batch weighs no more than 3.50 ounces.
Classify the following as an example of nominal, ordinal, interval, or ratio level of measurement, and state why it represents this level: rankings of the top ten best-selling authors
A sample of n=20 has a mean of M=40. If the standard deviation is s=5, would a score of x=55 be considered an extreme value?
An Auditor of a small bsuiness has sampled 50 of 700 accounts. The sample mean total receivables is $435, and the sample standard deviation is $86. Find a 95% confidence interval for the total amount of receivables.
In a sample of 60 mice, a biologist found that 46% were able to run a maze in 30 seconds or less. Find the 99% limit for the population proportion of mice who can run that maze in 30 seconds or less?
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