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Question: Let Ω be a space of results and B one happening such that probability of B > 0 (P(B) > 0). Prove that for any happening A, we have:
P(A|B) + P(Ω\ A|B) = 1
Tthe population standard deviation is not equal to 8 at the 0.05 level of significance. Calculate the value of the test statistic.
A health care professional wishes to estimate the birth weight of infants. How large a sample must she select if she desires to be 90% confident that the true mean is within 6 ounces of the sample mean?
A number of minor automobile accidents occur at various high-risk intersections in Teton County despite traffic lights. The Traffic Department claims that a modification in the type of light will reduce these accidents.
She gathers a sample of 35 subjects with depression and obtains a sample mean of 7.82 micrograms/100 ml. What are the null and alternative hypotheses for this study?
In the Cash Now lottery game there are 10 finalists who submitted entry tickets on time. From these 10 tickets three grand prize winners will be drawn.
A shipment of crankshafts is believed to be defective. A simple random sample of 16 is drawn from a large shipment. Check to see if the sample is any different from the assumed population mean of 224.
Explain how the use of the hypothesis testing can be used to evaluate solutions to the research issue.
SAT verbal scores are normally distributed with a mean of 423 and a standard deviation of 91. Use the Empirical Rule to determine what percent of the scores lies between 423 and 514.
Using an example from a hospital, create a mock data set for two specific variables of importance within hospital (minimum of 20). The data may be used for quality measures, patient inputs, demographics, financial data, etc.
What is the relationship between pretest scores and final exam scores after controlling for cumulative GPA? He also wants to know about the relationship between pretest scores and final exam scores.
A radio station wants to know if residents in their area are in favor of a proposed tax increase. They invite listeners to call in to respond to the poll. 645 of the 800 who responded were against the tax.
Ask them if they would be comfortable with a woman asking them out for a date. If the claim made by the study was true, what is the probability that: At most 4 men would say no?
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