Question
1. The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level.
1. The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.17. How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the95% confidence level with an error of at most 0.020.02? Round your answer up to the next integer.
2. The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.230.23. How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the85% confidence level with an error of at most 0.02? Round your answer up to the next integer.
3. A fast food restaurant executive wishes to know how many fast food meals teenagers eat each week. They want to construct a 85% confidence interval with an error of no more than 0.06. A consultant has informed them that a previous study found the mean to be 4.9 fast food meals per week and found the standard deviation to be 0.9. What is the minimum sample size required to create the specified confidence interval? Round your answer up to the next integer.
4. A fast food restaurant executive wishes to know how many fast food meals adults eat each week. They want to construct a 85% confidence interval with an error of no more than 0.08. A consultant has informed them that a previous study found the mean to be 5.6 fast food meals per week and found the standard deviation to be 1.3. What is the minimum sample size required to create the specified confidence interval? Round your answer up to the next integer.
5. The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.23. How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the90% confidence level with an error of at most 0.03? Round your answer up to the next integer.
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