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Hogar Banco de preguntas Matemáticas Estadísticas Archive 2024 December 17

Statistics Questions from Dec 17,2024

Browse the Statistics Q&A Archive for Dec 17,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Is the statement below true or false? The distribution of the sample mean, , will be normally distributed if the sample is obtained from a population that is normally distributed, regardless of the sample size. Choose the correct answer below. False True A simple random sample of size is drawn from a population that is normally distributed. The sample mean, , is found to be 18.5 , and the sample standard deviation, s , is fo to be 5.3 . (a) Construct a confidence interval about if the sample size, , is 32 . (b) Construct a confidence interval about if the sample size, , is 65 . How does increasing the sample size affect the margin of error, E? (c) Construct a confidence interval about if the sample size, , is 32 . How does increasing the level of confidence affect the size of the margin of error, E? (d) If the sample size is 20 , what conditions must be satisfied to compute the confidence interval? (a) Construct a confidence interval about if the sample size, , is 32 . Lower bound: ; Upper bound: (Round to two decimal places as needed.) (b) Construct a confidence interval about if the sample size, , is 65. (Round to two decimal places as needed.) How does increasing the sample size affect the margin of error, E ? A. The margin of error decreases. B. The margin of error does not change. C. The margin of error increases. (c) Construct a confidence interval about if the sample size, , is 32. Lower bound: ; Upper bound: (Round to two decimal places as needed.) Compare the results to those obtained in part (a). How does increasing the level of confidence affect the size of the margin of error, E? A. The margin of error decreases. B. The margin of error increases. Fill in the blank to complete the statement. If we reject the null hypothesis when the statement in the null hypothesis is true, we have made a Type If we reject the null hypothesis when the statement in the null hypothesis is true, we have made a Type error. Determine the point estimate of the population mean and margin of error for the confidence interval. Lower bound is 17 , upper bound is 29. The point estimate of the population mean is The margin of error for the confidence interval is Explain what " confidence" means in a confidence interval. What does " confidence" mean in a confidence interval? A. The value of the parameter lies within of a standard deviation of the estimate. B. The confidence interval includes of all possible values for the parameter. C. The probability that the value of the parameter lies between the lower and upper bounds of the interval is . The probability that it does not is . D. If 100 different confidence intervals are constructed, each based on a different sample of size from the same population, then we expect 99 of the intervals to include the parameter and 1 to not include the parameter. In a certain city, the average 20 - to 29 -year old male is 69.6 inches tall, with a standard deviation of 3.2 inches, while the average 20 -to 29 -year old female is 64.5 inches with a standard deviation of 3.9 inches. Who is relatively taller, a 75 -inch male or a 70 -inch female? Find the corresponding z-scores. Who is relatively taller, a 75 -inch male or a 70 -inch female? Select the correct choice and fill in the answer boxes to complete your choice (Round to two decimal places as needed.) A. The -score for the male, , is smaller than the -score for the female, so the maleis relatively taller. B. The -score for the female, , is larger than the -score for the male, so the femaleis relatively taller. C. The -score for the male, D. The -score for the female, In a minimum of 100 words, respond to your fellow students' posts in a substantive manner, and provide information that they may have missed or may not have considered regarding the inferences that can be drawn from population variances in business and economics. Do you agree with their conclusions? Why or why not? FHello. The analysis of the training program data reveals some noteworthy findings. The proposed training program showis a slightly higher average performance score (mean of 75.43 ) compared to the current program (mean of 75.07). However, this improvement is minimal. What stands out more significantly is the variance: the proposed program has a much lower variance ( 6.28 ) than the current program (15.56). This indicates that the proposed program produces more consistent outcomes among participants. Both programs were tested with the same sample size of 61 participants, ensuring comparability of the results. While the consistency observed in the proposed program is promising, the small difference in average scores suggests that the program may not lead to a substantial overall improvement in performance. This warrants further investigation into whether the observed differences are meaningful and how they align with the program's objectives. 5. If the slope is constant between any two points in a data set, then these points are
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