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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.
Formulate the hypotheses that can be used to test the validity of the brokerage firm executive's claim.
The margin of error for a 95% confidence interval estimate for the proportion of all students with cell phones is
One characteristic of billiard balls is their elasticity - the bounce they get when striking one another. A manufacturer of billiard balls is testing three additives to the basic plastic.
Determine a 95% confidence interval for the population mean.
State the null and alternative hypotheses you would use to test whether the year-end bonuses paid by Jones & Ryan were different from the population mean.
each person received was determined by randomization. For each person who was sent one of the surveys, the researcher recorded whether or not a completed survey was returned.
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..
A journal polled its readers to determine the proportion of wives who, if given a second chance, would marry their husband again.
By using.02 level of significance, carry out a 5-step hypothesis testing procedure to find out if new processes considerably reduced the wait time.
If a technical breakthrough occurred that raised the profit per unit of X 1 to $3, would this affect the optimal solution?
Solve the mean and standard deviation equations
When using past data, I have found that the proportion of items rejected by quality control personnel is about 3%. We normally make 5000 items per day. For a p chart, what are the upper and lower control limits?
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