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A social service agency plans to conduct a survey to determine the mean income of its clients. The director of the agency prefers that you measure the mean income very accurately, to within plus or minus $500. From a sample taken two years ago, you estimate that the standard deviation of income for this populatation is about $5,000. You job is to figure out the necessary sample size to reduce sampling error to plus or minus $500.
a. do you need to have an estimate of the current mean income to answer this question? why or why not?
Determine whether the following equations real or complex solutions; justify your answer. Note: It is not necessary to find the solutions; just determine if they are real or complex and explain why.
Define or give an example of a hypothetical construct. Explain why operational definitions are needed to define and to measure constructs.
Using the high-low method, calculate the total fixed factory overhead cost and the variable factory overhead cost per direct labor hour.
A television station estimates that 50% of college students watch the super bowl. For a sample of 120 students selected at random, what is the mean and variance of the number of students who watch the game?
Suppose we wish to predict the crawling age of a particular baby when the average outdoor temperature is 25°F six months after birth.
You are estimating the install hours for an electronics upgrade based on the number of components affected. The upgrade for which you are estimating affects 25 components. Given the following equation, select the correct response from each pair.
Draw a sketch of the standard normal distribution curves, one for the current process and another one for the recentered process. Label the spec limits and shade the area of the curve that corresponds to your answer.
An averages of four tax evaders per 100 tax filers. If 50 tax filers are randomly selected from the state, what is the probability of the following:
Psychologists wanted to test whether a certain accelerated class' IQ was different than average. There were 25 students in the class; their mean IQ score was 108.
Use the continuity correction and describe the region of normal curve that corresponds to the indicated binomial probability. The probability of more than 50 right answers.
A study is conducted to determine if the traffic light patterns at a busy intersection need to be adjusted to help the flow of traffic. Data on the volume of traffic and the traffic patterns during different times of day are recorded.
Election officials take a random sample of 100 signatures and thoroughly investigate them to find that 84% are valid. Is this statistically significant evidence that the candidate has enough valid signatures overall? Explain.
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