Two distributions that would be more supportive of the hypothesis are 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7 for a dominant foot distribution and 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5 for a non-dominant foot distribution.
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Carol and Alina play soccer for a local college team. Based on anecdotal evidence, they think that there is a difference in a player’s success rate of
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2021-05-17
Relevant Questions
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Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for aluminum alloy sheets of a particular type, its mean value and standard deviation are 70 GPa and 1.6 GPa, respectively (values given in the article ''Influence of Material Properties Variability on Springback and Thinning in Sheet Stamping Processes: A Stochastic Analysis'' (Intl. J. of Advanced Manuf. Tech., 2010: 117–134)). If \(\bar{X}\) is the sample mean Young’s modulus for a random sample of \(n = 16\) sheets, where is the sampling distribution of \(\bar{X}\) centered, and what is the standard deviation of the \(\bar{X}\) distribution?
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Consider the two samples of data from the McKenzie School. The numbers represent the time in seconds that it took each child to cover a distance of 50 meters. Girls’ Times: 8.3, 8.6, 9.5, 9.5, 9.6, 9.8, 9.9, 9.9, 10.0, 10.0, 10.0, 10.1, 10.3, 10.5 Boys’ Times: 7.9, 8.0, 8.2, 8.2, 8.4, 8.6, 8.8, 9.1, 9.3, 9.5, 9.8, 9.8, 10.0, 10.1, 10.3. Based on the sample means, do you conclude that the distributions of times from the boys’ population and girls’ population are different? Explain.
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The Wall Street Journal reported that the age at first startup for \(55\%\) of entrepreneurs was 29 years of age or less and the age at first startup for \(45\%\) of entrepreneurs was 30 years of age or more.
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b. Suppose a sample of 200 entrepreneurs will be taken to learn about the most important qualities of entrepreneurs. Show the sampling distribution of \(\overline{p}\) where \(\overline{p}\) is now the sample proportion of entrepreneurs whose first startup was at 30 years of age or more.
c. Are the standard errors of the sampling distributions different in parts (a) and (b)?
