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Math
Statistics
Macro Chp. 8
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Gravity
Terms in this set (10)
As the degrees of freedom increase, the t distribution approaches the _____ distribution.
normal
The t distribution is a family of similar probability distributions, with each individual distribution depending on a parameter known as the _____.
degrees of freedom
In general, higher confidence levels provide _____.
wider confidence intervals
The general form of an interval estimate of a population mean or population proportion is the _____ plus or minus the _____.
point estimate, margin of error
The probability that the interval estimation procedure will generate an interval that contains the actual value of the population parameter being estimated is the _____.
confidence coefficient
The use of the normal probability distribution as an approximation of the sampling distribution of p̄ is based on the condition that both np and n(1 - p) equal or exceed _____.
5
In determining an interval estimate of a population mean when σ is unknown, we use a t distribution with _____ degrees of freedom.
n-1
An interval estimate is used to estimate _____.
population parameter
As the sample size increases, the margin of error _____.
decreases
For the interval estimation of μ when σ is assumed known, the proper distribution to use is the_____.
standard normal distribution
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QUESTION
Read the brief report of statistical research, and identify the subjects studied and how they were selected. A group of researchers analyzed three observational studies that followed children's attendance and mental health, among other things. They found that students who missed more school tended to have more incidences of depression. One study followed 20,745 secondary students in a random sample of all secondary schools in the United States. Another tracked 2,311 first graders at 18 Baltimore schools who were participating in an intervention program. The third study followed 671 students from first or fifth grade to their senior year in high risk areas of Eugene, OR, who had been randomly assigned to an intervention or to no intervention.
STATISTICS
The mean duration of television commercials is 75 seconds with standard deviation 20 seconds. Assume that the durations are approximately normally distributed to answer the following. Would you expect commercial to last longer than 2 minutes? Why or why not?
STATISTICS
Assume that we will use the sample data given below with a 0.05 significance level in a test of the claim that the population mean is greater than 90 sec. If we want to construct a confidence interval to be used for testing that claim, what confidence level should be used for the confidence interval? If the confidence interval is found to be 21.1 sec < $\mu$ < 191.4 sec, what should we conclude about the claim? $$ 84 \quad 14 \quad 583 \quad 50 \quad 0 \quad 57 \quad 207 \quad 43 \quad 178 \quad 0 \quad 2 \quad 57 $$
STATISTICS
Can filling car tires with nitrogen instead of compressed air increase gas mileage? Describe how you would design a study to try to answer this question. Be as specific as you can about the details of your study.
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