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Confidence intervals
Several factors are involved in the creation of a confidence interval. Among them are the sample size, the level of confidence, and the margin of error. Which statements are true?
a) For a given sample size, higher confidence means a smaller margin of error.
b) For a specified confidence level, larger samples provide smaller margins of error.
c) For a fixed margin of error, larger samples provide greater confidence.
d) For a given confidence level, halving the margin of error requires a sample twice as large.
Is the difference in mean scores large enough to be important? (d) Is it reasonable to assume equal variances? (e) Carry out a formal test for equal variances at α = .05, showing all steps clearly.
Determine the margin of error in estimating the population mean. a sample of 68 college students yields a mean annual income of $3248.
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Half of the 1000 emloyees were involved in some type of exercise. What is the probability that an employee will have a cold next year?
If he knows that the measurements follow a normal distribution and the standard deviation for this procedure is 1.2 degrees, what is the confidence interval for the population mean at a 95% confidence level?
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