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Statistics Questions from Nov 25,2024

Browse the Statistics Q&A Archive for Nov 25,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Describe a situation in which a relatively large standard deviation is desirable. Choose the correct answer below. A. A group of students learns better when their mean standardized test scores are higher. B. A university produces better learning outcomes when its students have diverse backgrounds. C. A company is more productive when its employees have similar ages. D. A class is easier to teach when students' standardized test scores have a large standard deviation. Determine whether each statement makes sense or does not make sense, and explain your reasoning. I'm working with data sets with different means and the same standard deviation. Choose the correct answer below. A. The statement makes sense. Data sets can have different means and the same standard deviation. For example, if two data sets contained the values \( \{1,3\} \) and \( \{2,4\} \), the means for ea would be 2 and 3 respectively, but they both have the same standard deviation of approximately 1.41421 . C. The statement does not make sense. If data sets have different means, then they must have different standard deviations. D. The statement makes sense. The mean of a data set is completely unrelated to the standard deviation of a data set. Thus data sets can have different means and the same standard deviation. The mean can be misleading if you don't know the spread of data items. Choose the correct answer below. A. The statement does not make sense because the mean is the true center of the data. B. The statement does not make sense because the mean measures the spread of the data items. C. The statement makes sense because there may exist some outliers (maybe much greater or much less than the rest of the data) in the data items. D. The statement makes sense because mean is not always the true average of the data. b. Verity your conjecture from part (a) by calculating the mean number of platinum albums for each data set. Mean (Male artists) \( =96.00 \) Mean (Female artists) \( =58.80 \) (Round to two decimal places as needed.) c. Without calculating, which data set has the greater standard deviation? Explain your answer. A. Male artists have the greater standard deviation because there is a lower spread in the data for men. B. Female artists have the greater standard deviation because there is a lower spread in the data for women. D. Female artists have the greater standard deviation because there is a greater spread in the data for women. d. Verity your conjecture from part (c) by calculating the standard deviation for each data set. Standard deviation (Male artists) = \( \square \) Standard deviation (Female artists) = (Round to two decimal places as needed.) b. Verify your conjecture from part (a) by calculating the mean number of platinum albums for each data set. Mean (Male artists) \( =96.00 \) Mean (Female artists) \( =58.80 \) (Round to two decimal places as needed.) c. Without calculating, which data set has the greater standard deviation? Explain your answer. A. Male artists have the greater standard deviation because there is a lower spread in the data for men. B. Female artists have the greater standard deviation because there is a lower spread in the data for women. C. Male artists have the greater standard deviation because there is a greater spread in the data for men. d. Female artists have the greater standard deviation because there is a greater spread in the data for women. Standard deviation (Male artists) = Standard deviation (Female artists) = (Round to two decimal places as needed.) Interatividade Um grupo de estudantes está planejando encomendar pizzas. Se 13 comem linguiça calabresa, 10 comem salame italiano, 12 comem queijo extra, 4 comem tanto calabresa quant salame, 5 comem tanto salame quanto queijo extra, 7 comem tanto linguiça calabresa quanto queijo extra e 3 comem de tudo, quantos estudantes há no grupo? a) 10. b) 15. percentage of the values in a data set lie at or above the \( 30^{\text {th }} \) percentile continuación, se relacionan la cantidad de hijos que tienen 12 familias en un barrio de cludad do Tunja. \( 1,3,0,2,2,2,1,2,2,3,3 \) Realice el estudio estadistico correspondiente a una variable Discreta. Evaluate \( E=z^{*} \sqrt{\frac{\hat{p}_{1} \cdot \hat{q}_{1}}{n_{1}}+\frac{\hat{p}_{2} \cdot \hat{q}_{2}}{n_{2}}} \) for \( z^{*}=2.575 x_{1}=37 x_{2}=81 n_{1}=43 n_{2}=95 \hat{p}_{1}=\frac{x_{1}}{n_{1}} \hat{q}_{1}=1-\hat{p}_{1}, \hat{p}_{2}=\frac{x_{2}}{n_{2}} \) and \( \hat{q}_{2}=1-\hat{p}_{2} \) Since an.instant replay system for tennis was introduced at a major tournament, men challenged 1430 referee calls, with the result that 417 of the calls were overturned. Women challenged 765 referee calls, and 227 of the calls were overturned. Use a 0.05 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below.
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