Eggs are an excellent source of choline and selenium, and a good source of high-quality protein, vitamin D, vitamin B12, phosphorus and riboflavin. Eggs also come in varlous sizes such as large and extra-large. A nutritionist wants to quantify the nutritional value of a large egg, but needs to know the average weight of large eggs in order to accurately report the nutritional value. The following data represent egg weights (in grams) for a sample of 10 eggs. These data are consistent with summary quantities in the paper "Evaluation of Egg Quality Traits of Chickens Reared under Backyard System in Western Uttar Pradesh."t 53.02, 53.48, 52.52, 53.01, 53.07, 52.84, 52.64, 53.25, 53.25, 53.14 A USE SALT (a) Calculate the point estimate (in grams) for the population mean. 53.022 Calculate its margin of error (in grams) at 95% confidence. (Use a table or SALT. Round your answer to three decimal places.) (b) Calculate a 95% confidence interval for the true mean weight of all large eggs. (Use a table or SALT. Round your answers to three decimal places.)

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Module 15: Estimation for X MindTap Cengage Learn XG
G if the confidence level incr X
Q Nine Flashcards | Quizlet
xG margin of error on ti 84-
xE Mean, Median, Mode Calcx
* webassign.net/web/Student/Assigns
1026&tags autosave#Q29
O O D O G
Eggs are an excellent source of choline and selenium, and a good source of high-quality protein, vitamin D, vitamin B12, phosphorus and riboflavin. Eggs also come in varlous sizes such as large and extra-large. A
nutritionist wants to quantify the nutritional value of a large egg, but needs to know the average weight of large eggs in order to accurately report the nutritional value.
The following data represent egg weights (in grams) for a sample of 10 eggs. These data are consistent with summary quantities in the paper "Evaluation of Egg Quality Traits of Chickens Reared under Backyard
System in Western Uttar Pradesh."t
53.02, 53.48, 52.52, 53.01, 53.07, 52.84, 52.64, 53.25, 53.25, 53.14
n USE SALT
(a) Calculate the point estimate (in grams) for the population mean.
53.022
Calculate its margin of error (in grams) at 95% confidence. (Use a table or SALT. Round your answer to three decimal places.)
(b) Calculate a 95% confidence interval for the true mean weight of all large eggs. (Use a table or SALT. Round your answers to three decimal places.)
(c) Suppose the nutritionist would like to cut the margin of error in half. What sample size should be used?
O 10
O 20
O 30
O 40
(d) Which of the following combinations of confidence level and sample size will produce the smallest margin of error when estimating one mean and a is unknown?
O 95%, 25
O 95%, 80
O 80%, 25
O 80%, 80
Transcribed Image Text:Module 15: Estimation for X MindTap Cengage Learn XG G if the confidence level incr X Q Nine Flashcards | Quizlet xG margin of error on ti 84- xE Mean, Median, Mode Calcx * webassign.net/web/Student/Assigns 1026&tags autosave#Q29 O O D O G Eggs are an excellent source of choline and selenium, and a good source of high-quality protein, vitamin D, vitamin B12, phosphorus and riboflavin. Eggs also come in varlous sizes such as large and extra-large. A nutritionist wants to quantify the nutritional value of a large egg, but needs to know the average weight of large eggs in order to accurately report the nutritional value. The following data represent egg weights (in grams) for a sample of 10 eggs. These data are consistent with summary quantities in the paper "Evaluation of Egg Quality Traits of Chickens Reared under Backyard System in Western Uttar Pradesh."t 53.02, 53.48, 52.52, 53.01, 53.07, 52.84, 52.64, 53.25, 53.25, 53.14 n USE SALT (a) Calculate the point estimate (in grams) for the population mean. 53.022 Calculate its margin of error (in grams) at 95% confidence. (Use a table or SALT. Round your answer to three decimal places.) (b) Calculate a 95% confidence interval for the true mean weight of all large eggs. (Use a table or SALT. Round your answers to three decimal places.) (c) Suppose the nutritionist would like to cut the margin of error in half. What sample size should be used? O 10 O 20 O 30 O 40 (d) Which of the following combinations of confidence level and sample size will produce the smallest margin of error when estimating one mean and a is unknown? O 95%, 25 O 95%, 80 O 80%, 25 O 80%, 80
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