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Do women talk more than men? Equip male and female students with a small device that secretly records sound for arandom 30 seconds during each 12.5 minute interval for two days. Count the words each subject speaks during each recording period, and from this, estimate how many words per day each subject speaks. The published report includes a table summarizing six such studies. Her are two of the six:
Study 1; Sample size: Women - 56 Men - 56 Estimated average number (SD) of words spoken per day; Women: 16,177 (7520) Men: 16,569 (9108)
Study 2;sample size: Women - 27 Men - 20 Estimated average number (SD) of words spoken per day; Women: 16,496 (7914) Men: 12,867 (8343)
If 36 women are selected at random, find the mean, and standard deviation, of the population of sample means. Suppose that the sampling is done without replacement and use a finite population correction factor.
A straight rod is formed by connecting three sections A, B and C, each of which is manufactured on a different machine. The length of section A, in inches has a normal distribution with mean 20 and variance 0.04.
Suppose that a quarter is randomly selected, what is the probability that this quarter has high productivity growth and has a large pay increase?
Change the frequencies to percentages - is there a group more likely to get high salaries.
The speed limit on Interstate 75 around Findlay, Ohio, is 65 mph. On a clear day with no construction, the mean speed of automobiles was measured at 63 mph with a standard deviation of 8 mph.
A researcher hypothesizes that parents with school-aged children are more probable to vote in favour of a referendum increasing public school spending than adults without school-aged children, but wonders of this relationship holds for both Democr..
Find the confidence interval for the mean price, μ, of all dealer sticker prices of new cars: for a confidence level of 90% in thousands of dollars:
A government survey conducted to estimate the mean price of houses in a metropolitan area is designed to have a margin of error of $10,000.
Use the population standard deviation along with the sample mean, S, and find a 92% confidence interval for the population mean. Is the true population mean contained in this interval?
The article can be on Descriptive Statistics, Probability and the Normal Distribution, Sampling and Sampling Distributions, Regression Analysis, or Time Series Forecasting.
He would like to determine whether there are more units produced on the afternoon shift than on the day shift.
For a sample of 11 independent observations from a normal distribution of unknown μ and unknown variance σ 2 , the sample mean is 74.6 and sample variance is 2.2. What is the lower point of the 90% confidence interval for μ?
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