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A large scale study conducted over a one year period has shown that break-ins at home occur about 6% of the time in the population. The study also shows home security alarms went off 5% of the time when no one was breaking into the home. The security alarm failed to go off 8% of the time when someone was really breaking into the home. What is the probability that a home has been broken into and the alarm went off?
With reference to Example 1, what would have been the probabilities of type I and type II errors if the acceptance region had been x > 16 and the corresponding rejection region had been x 16?
A man plays independent repetitions of the following game: at each repetition, he throws a dart onto a circular target. Suppose that the distance D between the impact point of the dart and the center of the target has a U[0,30] distribution. If D ..
What are the minimum value and the maximum value? List the actual values in the fourth row. List the actual values in the second row. How many values are less than 70? How many values are 80 or more?
twenty percent of all telephones of a certain type are submitted for service while under warranty. of these 60 can be
The incomes of trainees at a local mill are normally distributed with a mean of $1100 and a standard deviation $150. What percentage of trainees earn less than $900 a month?
Calculate the mean and standard deviation of p-hat and describe the shape of its sampling distribution.
Consider repair costs for Car A and Car B. The mean repair cost for each is $500 per year. Which statistics about repair costs may play into your decision to purchase one of these cars? Which car would you choose? Explain.
What are the expexted value and standard deviation, respectively, of the number of successful first serves? What is the probability she makes 90 or more successful first serves?
How and why could an Alabama Paradox occur? Explain how applying the Huntington-Hill apportionment method helps to avoid an Alabama Paradox. Calculate the absolute and relative unfairness of this apportionment.
Construct upper and lower control limits for the x chart, using the given product parameters. (b) Plot the data on the control chart. (c) Is this process in control? Explain your reasoning.
Build regression models for predicting house prices. We will be using data collected on 91 houses in Gainesville, Florida. The dataset contains the selling price of each house and information on four other explanatory variables.
Explain in this context what statistically significant means.- Comment on the fact that this research was supported by funding from Motorola, a manufacturer of cell phones.
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