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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A toy manufacturer wants to know how many new toys children buy each year. A sample of 686 children was taken to study their purchasing habits, Construet the confidence interval for the mean number of toys purchased each year if the sample mean was found to be 6.8 . Assume that the population standard deviation is 2.1. Round your answers to one decimal place. Answer How to enter your answer (opens in new window) Lower endpoint: A research scholar wants to know how many times per hour a certain strand of virus reproduces. He wants to construct the confidence interval with a maximum error of 0.2 reproductions per hour. Assuming that the mean is 6.4 reproductions and the variance is known to be 5.29 , what is the minimum sample size required for the estimate? Round your answer up to the next integer. Save \& Exit Practice Lesson: 8.1 Estimating Population Means (... Question 2 of 10 , step 1 of 1 The electric cooperative needs to know the mean household usage of electricity by its non-commercial customers in kWh per day. They would like the estimate to have a maximum error of 0.12 kWh . A previous study found that for an average family the standard deviation is 2 kWh and the mean is 18.9 kWh per day. If they are using a level of confidence, how large of a sample is required to estimate the mean usage of electricity? Round your answer up to the next integer. A marketing research company desires to know the mean consumption of milk per week among people over age 30. They believe that the milk consumption has a mean of 3.5 liters, and want to construct a confidence interval with a maximum error of 0.07 liters. Assuming a standard deviation of 1.4 liters, what is the minimum number of people over age 30 they must include in their sample? Round your answer up to the next integer. A marketing research company desires to know the mean consumption of milk per week among people over age 30 . They believe that the milk consumption has a mean of 3.5 liters, and want to construct a confidence interval with a maximum error of 0.07 liters. Assuming a standard deviation of 1.4 liters, what is the minimum number of people over age 30 they must include in their sample? Round your answer up to the next integer. Answer Data analysis: Based on the provided data, the null hypothesis (HO) posits that the current Air Force Training Program operates effectively. Conversely, the alternative hypothesis (Ha) suggests that the new system will result in quicker program completion times. The initial inquiry focuses on identifying observable similarities and differences in the descriptive statistics of both systems. In terms of similarities, the means of the current and new systems are nearly identical, with the current system at 75.05 and the new system at 75.45, while their medians are 75.5 and 76 , respectively. The mode remains constant at 76 across both systems. Additionally, the standard error is comparable, with the current system at 0.5 and the new system at 0.3 . Given the closeness of the means, it can be inferred that both systems yield results that are sufficiently similar to warrant maintaining the current system. Nonetheless, the data reveals several differences. The sample variance is notably higher in the current system, with a value of 15.8 compared to 6.4 in the new system. The confidence level also differs significantly, with the current system at 1.03 and the new system at 0.65 . Furthermore, the standard deviation is 1.5 points higher in the current method, with values of 4.00 and 2.52 for the current and new systems, respectively. What recommendations regarding the Air Force training program would you make based on your findings? Include details from your managerial report to support your recommendations. Data analysis: Based on the provided data, the null hypothesis (HO) posits that the current Air Force Training Program operates effectively. Conversely, the alternative hypothesis (Ha) suggests that the new system will result in quicker program completion times. The initial inquiry focuses on identifying observable similarities and differences in the descriptive statistics of both systems. In terms of similarities, the means of the current and new systems are nearly identical, with the current system at 75.05 and the new system at 75.45, while their medians are 75.5 and 76 , respectively. The mode remains constant at 76 across both systems. Additionally, the standard error is comparable, with the current system at 0.5 and the new system at 0.3 . Given the closeness of the means, it can be inferred that both systems yield results that are sufficiently similar to warrant maintaining the current system. Nonetheless, the data reveals several differences. The sample variance is notably higher in the current system, with a value of 15.8 compared to 6.4 in the new system. The confidence level also differs significantly, with the current system at 1.03 and the new system at 0.65 . Furthermore, the standard deviation is 1.5 points higher in the current method, with values of 4.00 and 2.52 for the current and new systems, respectively. What recommendations regarding the Air Force training program would you make based on your findings? Include details from your managerial report to support your recommendations. Data analysiS: Based on the provided data, the null hypothesis (HO) posits that the current Air Force Training Program operates effectively. Conversely, the alternative hypothesis (Ha) suggests that the new system will result in quicker program completion times. The initial inquiry focuses on identifying observable similarities and differences in the descriptive statistics of both systems. In terms of similarities, the means of the current and new systems are nearly identical, with the current system at 75.05 and the new system at 75.45, while their medians are 75.5 and 76 , respectively. The mode remains constant at 76 across both systems. Additionally, the standard error is comparable, with the current system at 0.5 and the new system at 0.3 . Given the closeness of the means, it can be inferred that both systems yield results that are sufficiently similar to warrant maintaining the current system. Nonetheless, the data reveals several differences. The sample variance is notably higher in the current system, with a value of 15.8 compared to 6.4 in the new system. The confidence level also differs significantly, with the current system at 1.03 and the new system at 0.65 . Furthermore, the standard deviation is 1.5 points higher in the current method, with values of 4.00 and 2.52 for the current and new systems, respectively. Data analysis: Based on the provided data, the null hypothesis (HO) posits that the current Air Force Training Program operates effectively. Conversely, the alternative hypothesis (Ha) suggests that the new system will result in quicker program completion times. The initial inquiry focuses on identifying observable similarities and differences in the descriptive statistics of both systems. In terms of similarities, the means of the current and new systems are nearly identical, with the current system at 75.05 and the new system at 75.45, while their medians are 75.5 and 76 , respectively. The mode remains constant at 76 across both systems. Additionally, the standard error is comparable, with the current system at 0.5 and the new system at 0.3 . Given the closeness of the means, it can be inferred that both systems yield results that are sufficiently similar to warrant maintaining the current system. Nonetheless, the data reveals several differences. The sample variance is notably higher in the current system, with a value of 15.8 compared to 6.4 in the new system. The confidence level also differs significantly, with the current system at 1.03 and the new system at 0.65 . Furthermore, the standard deviation is 1.5 points higher in the current method, with values of 4.00 and 2.52 for the current and new systems, respectively. El profesor de estadistica esta interesado en los hábitos alimenticios de sus alumnos por lo cual realizo una encuesta en la cual se pregunto cuantas veces consumen golosinas(papitas, gomitas, refrescos, dulces, maruchan) a la semana los estudiantes dieron la siguiente información: 125634246754365544324567751234561 a)¿Cuntos dias en promedio consumen golosinas los estudiantes?
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