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Q1) Determine the following probabilities:
(a) Events A and B are mutually exclusive events defined on common sample space. If P (A) 0.5 and P(A or B) = 0.70, determine P(B).
(b) Events A and B are defined on the common sample space. If P(A) = 0.30, P(B) = 0.50, and P(A or B) = 0.72, determine P(A and B)
Q2) According to new survey, Americans get the mean of 7 hours of sleep per night. Arbitrary sample of 50 students at West Virginia University disclosed mean number of hours slept last night was six hours and 48 minutes (6.8 hours). Standard deviation of sample was 0.9 hours. Is it sensible to conclude that students at West Virginia sleep less than typical American? Calculate the p-value.
Make use of Excel to determine the right-tail p-value.
Assuming the nurses surveyed were a simple random sample from the population of all nurses in the United States, find the appropriate null hypothesis for these data
What is the P-value of the test, assume the standard deviation is 3 years, a 95% confidence interval for the average time
where the deviations εi are assumed to be independent and Normally distributed with mean 0 and standard deviation σ. This model was fit to the data using the method of least squares. The following results were obtained from statistical software.
If the voice identifications were made by random guess, find the probability that all 9 victims would select the same person?
Ten students were sampled at random from a student population. Each was asked how many courses he or she was planning on studying in the upcoming year. The following is a list of the reported data values: 1, 2, 2, 3, 4, 5, 5, 5, 5, 6 What is the vari..
We want to know if his support has decreased. In computing a test of hypothesis with , what is the estimate of the overall proportion?
At.01 significance level, can we conclude that there is more variation in selling prices of oceanfront homes?
A sample of twenty automobiles was taken, and the miles per gallon (MPG), horsepower, and total weight were recorded. Develop a linear regression model to predict MPG using horsepower as the only independent variable. Develop another model with weig..
At the 0.05 level of significance, can we conclude Middletown students remained in their districts less time than Brockton students? Make use of 5-step hypothesis testing procedure.
Compute average daily rainfall in the week and for weekends. Get the average of weekdays' rainfalls and average of weekend's rainfalls.
how many individuals will I need to sample if I want a 95% margin of error to be no more than 3%, I want to know if the results are significant at = 10%. With the information given.
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